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CYCLIC GRAPH

  • Cyclic graph
  • Index of articles associated with the same name

    mathematics, a cyclic graph may mean a graph that contains a cycle, or a graph that is a cycle, with varying definitions of cycles. See: Cycle (graph theory)

    Cyclic graph

    Cyclic_graph

  • Directed graph
  • Graph with oriented edges

    In mathematics, and more specifically in graph theory, a directed graph (or digraph) is a graph that is made up of a set of vertices connected by directed

    Directed graph

    Directed graph

    Directed_graph

  • Neighbourhood (graph theory)
  • Subgraph induced by all nodes linked to a given node of a graph

    locally C4 graph, the icosahedron is the unique connected locally C5 graph, and the Paley graph of order 13 is locally C6. Locally cyclic graphs other than

    Neighbourhood (graph theory)

    Neighbourhood (graph theory)

    Neighbourhood_(graph_theory)

  • Cyclic group
  • Mathematical group that can be generated as the set of powers of a single element

    finite cyclic group, with its single generator, the Cayley graph is a cycle graph, and for an infinite cyclic group with its generator the Cayley graph is

    Cyclic group

    Cyclic group

    Cyclic_group

  • Circulant graph
  • Undirected graph acted on by a vertex-transitive cyclic group of symmetries

    In graph theory, a circulant graph is an undirected graph acted on by a cyclic group of symmetries which takes any vertex to any other vertex. It is sometimes

    Circulant graph

    Circulant graph

    Circulant_graph

  • Directed acyclic graph
  • Directed graph with no directed cycles

    In mathematics, particularly graph theory, and computer science, a directed acyclic graph (DAG) is a directed graph with no directed cycles. That is, it

    Directed acyclic graph

    Directed acyclic graph

    Directed_acyclic_graph

  • Cycle graph
  • Graph with nodes connected in a closed chain

    "cycle graph". These include simple cycle graph and cyclic graph, although the latter term is less often used, because it can also refer to graphs which

    Cycle graph

    Cycle graph

    Cycle_graph

  • Cyclic (mathematics)
  • Index of articles associated with the same name

    Circulant graph, a graph with cyclic symmetry Cycle (graph theory), a nontrivial path in some graph from a node to itself Cyclic graph, a graph containing

    Cyclic (mathematics)

    Cyclic_(mathematics)

  • Shrikhande graph
  • Undirected graph named after S. S. Shrikhande

    locally cyclic graph, the Shrikhande graph is the 1-skeleton of a Whitney triangulation of some surface; in the case of the Shrikhande graph, this surface

    Shrikhande graph

    Shrikhande graph

    Shrikhande_graph

  • List of graphs
  • Franklin graph Frucht graph Goldner–Harary graph Golomb graph Grötzsch graph Harries graph Harries–Wong graph Herschel graph Hoffman graph Hofman Graph H(12

    List of graphs

    List_of_graphs

  • Tutte graph
  • Notation of Organic Molecules as Tree Structures and Cyclic Graphs. Part II. Topology of Cyclic Graphs." Interim Report to the National Aeronautics and Space

    Tutte graph

    Tutte graph

    Tutte_graph

  • Cayley graph
  • Graph defined from a mathematical group

    Cayley graph is the cycle C n {\displaystyle C_{n}} . More generally, the Cayley graphs of finite cyclic groups are exactly the circulant graphs. The Cayley

    Cayley graph

    Cayley graph

    Cayley_graph

  • Paracompact uniform honeycombs
  • Tessellation of convex uniform polyhedron cells

    4,4,∞] : = . Removing a mirror from some of the cyclic hyperbolic Coxeter graphs become bow-tie graphs: [(3,3,4,1+,4)] = [((3,∞,3)),((3,∞,3))] or , [(3

    Paracompact uniform honeycombs

    Paracompact_uniform_honeycombs

  • Locally cyclic
  • Topics referred to by the same term

    Locally cyclic may refer to: Locally cyclic group Locally cyclic graph This disambiguation page lists mathematics articles associated with the same title

    Locally cyclic

    Locally_cyclic

  • Voltage graph
  • Directed graph whose edges are labelled invertibly by elements of a group

    finite cyclic groups Z n {\displaystyle \mathbb {Z_{n}} } for n > 2. When Π is a cyclic group, the voltage graph may be called a cyclic-voltage graph. Formal

    Voltage graph

    Voltage_graph

  • Cycle
  • Topics referred to by the same term

    cycle, cyclic, or cyclical in Wiktionary, the free dictionary. Cycle, cycles, or cyclic may refer to: Cyclic history, a theory of history Cyclical theory

    Cycle

    Cycle

  • Graph embedding
  • Embedding a graph in a topological space, often Euclidean

    the graph can be 2 {\displaystyle 2} -cell embedded in an orientable surface of genus n {\displaystyle n} . An embedded graph uniquely defines cyclic orders

    Graph embedding

    Graph embedding

    Graph_embedding

  • S-expression
  • Data serialization format

    references, in which case the structure is not a tree at all, but a cyclic graph, and cannot be represented in classical S-expression notation unless

    S-expression

    S-expression

    S-expression

  • Rook's graph
  • Graph of chess rook moves

    In graph theory, a rook's graph is an undirected graph that represents all legal moves of the rook chess piece on a chessboard. Each vertex of a rook's

    Rook's graph

    Rook's graph

    Rook's_graph

  • Recurrent neural network
  • Class of artificial neural network

    graph that can be unrolled and replaced with a strictly feedforward neural network, while an infinite impulse recurrent network is a directed cyclic graph

    Recurrent neural network

    Recurrent_neural_network

  • Lucas number
  • Infinite integer series where the next number is the sum of the two preceding it

    coincides for example with the number of independent vertex sets for cyclic graphs C n {\displaystyle C_{n}} of length n ≥ 2 {\displaystyle n\geq 2} .

    Lucas number

    Lucas number

    Lucas_number

  • Simplicial honeycomb
  • Tiling of n-dimensional space

    Coxeter group symmetry. It is represented by a Coxeter-Dynkin diagram as a cyclic graph of n + 1 nodes with one node ringed. It is composed of n-simplex facets

    Simplicial honeycomb

    Simplicial honeycomb

    Simplicial_honeycomb

  • Cyclic voltammetry
  • Method of analyzing electrochemical reactions

    In electrochemistry, cyclic voltammetry (CV) is a type of voltammetric measurement where the potential of the working electrode is ramped linearly versus

    Cyclic voltammetry

    Cyclic voltammetry

    Cyclic_voltammetry

  • Adjacency list
  • Data structure representing a graph

    In graph theory and computer science, an adjacency list is a collection of unordered lists used to represent a finite graph. Each unordered list within

    Adjacency list

    Adjacency list

    Adjacency_list

  • Hypercube graph
  • Graphs formed by a hypercube's edges and vertices

    In graph theory, the hypercube graph Q n {\displaystyle Q_{n}} is the edge graph of the n {\displaystyle n} -dimensional hypercube, that is, it is the

    Hypercube graph

    Hypercube graph

    Hypercube_graph

  • Orientation (graph theory)
  • Assigning directions to the edges of an undirected graph

    undirected graph G is totally cyclic if and only if it is a strong orientation of every connected component of G. Robbins' theorem states that a graph has a

    Orientation (graph theory)

    Orientation (graph theory)

    Orientation_(graph_theory)

  • Cycle graph (algebra)
  • Graph structure studied in group theory

    Cycles that contain a non-prime number of elements have cyclic subgroups that are not shown in the graph. For the group Dih4 above, we could draw a line between

    Cycle graph (algebra)

    Cycle_graph_(algebra)

  • Combinatorial map
  • Combinatorial representation of a graph on an orientable surface

    fat graph, or a cyclic graph. More generally, an n {\displaystyle n} -dimensional combinatorial map is a combinatorial representation of a graph on an

    Combinatorial map

    Combinatorial_map

  • Brouwer's conjecture
  • bipartite subgraph gives a graph each of whose non-trivial components is a c-cyclic graph. For certain sequences of random graphs, Brouwer's conjecture holds

    Brouwer's conjecture

    Brouwer's_conjecture

  • Transitive reduction
  • Copy of a directed graph with redundant edges removed

    In the mathematical field of graph theory, a transitive reduction of a directed graph D is another directed graph with the same vertices and as few edges

    Transitive reduction

    Transitive_reduction

  • Hamiltonian path
  • Path in a graph that visits each vertex exactly once

    nilpotent groups with cyclic commutator subgroup are Hamiltonian. The flip graph of a convex polygon or equivalently, the rotation graph of binary trees, is

    Hamiltonian path

    Hamiltonian path

    Hamiltonian_path

  • Glossary of graph theory
  • Appendix:Glossary of graph theory in Wiktionary, the free dictionary. This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes

    Glossary of graph theory

    Glossary_of_graph_theory

  • Gyárfás–Sumner conjecture
  • arbitrarily large girth. Using these graphs, one can obtain graphs that avoid any fixed choice of a cyclic graph and clique (of more than two vertices)

    Gyárfás–Sumner conjecture

    Gyárfás–Sumner_conjecture

  • Grinberg's theorem
  • On Hamiltonian cycles in planar graphs

    non-Hamiltonian cubic polyhedral graphs with high cyclic edge connectivity. The cyclic edge connectivity of a graph is the smallest number of edges whose

    Grinberg's theorem

    Grinberg's theorem

    Grinberg's_theorem

  • Cyclic order
  • Alternative mathematical ordering

    free transitive action by a finite cyclic group. Another formulation is to make X into the standard directed cycle graph on n vertices, by some matching

    Cyclic order

    Cyclic order

    Cyclic_order

  • Graphical model
  • Probabilistic model

    2014-04-27. Richardson, Thomas (1996). "A discovery algorithm for directed cyclic graphs". Proceedings of the Twelfth Conference on Uncertainty in Artificial

    Graphical model

    Graphical_model

  • Graph coloring
  • Methodic assignment of colors to elements of a graph

    In graph theory, graph coloring is a methodic assignment of labels traditionally called "colors" to elements of a graph. The assignment is subject to certain

    Graph coloring

    Graph coloring

    Graph_coloring

  • Dual graph
  • Graph representing faces of another graph

    mathematical discipline of graph theory, the dual graph of a planar graph G is a graph that has a vertex for each face of G. The dual graph has an edge for each

    Dual graph

    Dual graph

    Dual_graph

  • Diamond graph
  • Planar graph with 4 nodes and 5 edges

    mathematical field of graph theory, the diamond graph is a planar, undirected graph with 4 vertices and 5 edges. It consists of a complete graph ⁠ K 4 {\displaystyle

    Diamond graph

    Diamond graph

    Diamond_graph

  • Soar (cognitive architecture)
  • Symbolic cognitive architecture

    memory of fact-like structures. Data in SMEM is represented as directed cyclic graphs. Structures can be stored or retrieved by rules that create commands

    Soar (cognitive architecture)

    Soar_(cognitive_architecture)

  • Graph kernel
  • the colors that occur in both graphs, the computation is still feasible. Tree kernel, as special case of non-cyclic graphs Molecule mining, as special case

    Graph kernel

    Graph_kernel

  • Graph of a polytope
  • In polytope theory, the edge graph (also known as vertex-edge graph or just graph) of a polytope is a combinatorial graph whose vertices and edges correspond

    Graph of a polytope

    Graph of a polytope

    Graph_of_a_polytope

  • Cyclotruncated simplicial honeycomb
  • symbol t0,1{3[n+1]}, and is represented by a Coxeter-Dynkin diagram as a cyclic graph of n+1 nodes with two adjacent nodes ringed. It is composed of n-simplex

    Cyclotruncated simplicial honeycomb

    Cyclotruncated simplicial honeycomb

    Cyclotruncated_simplicial_honeycomb

  • Object graph
  • Network representation of the relationships between objects in a program

    objects are referred to as object graphs, after the mathematical objects called graphs studied in graph theory. An object graph is a view of an object system

    Object graph

    Object_graph

  • Wagner graph
  • Cubic graph with 8 vertices and 12 edges

    graph with 4 rungs made cyclic on a topological Möbius strip. The chromatic number of the Wagner graph is 3. The chromatic index of the Wagner graph is 3

    Wagner graph

    Wagner graph

    Wagner_graph

  • Strong orientation
  • orientations may be generalized to totally cyclic orientations of disconnected graphs. The set of strong orientations of a graph forms a partial cube, with adjacent

    Strong orientation

    Strong orientation

    Strong_orientation

  • Prime graph
  • Undirected graph defined from a group

    prime graphs that replace the existence of a cyclic subgroup of order p q {\displaystyle pq} , in the definition for adjacency in a prime graph, by the

    Prime graph

    Prime_graph

  • Radar chart
  • Type of chart

    graph") is: you don't mind reading stacked areas instead of position along a common scale (see Cleveland's Hierarchy), the data set is truly cyclic,

    Radar chart

    Radar chart

    Radar_chart

  • Hypergraph
  • Generalization of graph theory

    acyclic if and only if its incidence graph (the bipartite graph defined above) is acyclic. Thus Berge-cyclicity can obviously be tested in linear time

    Hypergraph

    Hypergraph

    Hypergraph

  • Franklin graph
  • Graph often embedded in the Klein bottle

    3-edge-connected perfect graph. The automorphism group of the Franklin graph is of order 48 and is isomorphic to Z/2Z×S4, the direct product of the cyclic group Z/2Z

    Franklin graph

    Franklin graph

    Franklin_graph

  • Cycle decomposition
  • Topics referred to by the same term

    cycle decomposition can mean: Cycle decomposition (graph theory), a partitioning of the vertices of a graph into subsets, such that the vertices in each subset

    Cycle decomposition

    Cycle_decomposition

  • Bayesian network
  • Probabilistic graphical representation of causal relationships

    combinations. Similar ideas may be applied to undirected, and possibly cyclic, graphs such as Markov networks. Suppose we want to model the dependencies between

    Bayesian network

    Bayesian_network

  • Control-flow graph
  • Graphical representation of a computer program or algorithm

    In computer science, a control-flow graph (CFG) is a representation, using graph notation, of all paths that might be traversed through a function during

    Control-flow graph

    Control-flow graph

    Control-flow_graph

  • Nonagon
  • Shape with nine sides

    the album art featuring a nonagonal complete graph. The album consists of nine songs and repeats cyclically. Enneagram (nonagram) Trisection of the angle

    Nonagon

    Nonagon

    Nonagon

  • Higman–Sims graph
  • mathematical graph theory, the Higman–Sims graph is a 22-regular undirected graph with 100 vertices and 1100 edges. It is the unique strongly regular graph srg(100

    Higman–Sims graph

    Higman–Sims graph

    Higman–Sims_graph

  • Unicyclic
  • Topics referred to by the same term

    to: Unicyclic graph, a graph in mathematics with one cycle One-loop Feynman diagram, a type of pictorial representation in physics A cyclic compound in

    Unicyclic

    Unicyclic

  • Term graph
  • Representation of an expression as a generalized graph

    they can take the structure of a directed acyclic graph) but also cyclic/recursive subexpressions (cyclic digraphs). Abstract syntax trees cannot represent

    Term graph

    Term_graph

  • Dendral
  • 1960s artificial intelligence project

    enumeration and notation of organic molecules as tree structures and cyclic graphs. part i- notational algorithm for tree structures. Interim Report to

    Dendral

    Dendral

  • Acyclic orientation
  • Element of graph theory

    totally cyclic orientations of planar graphs extends in this form to nonplanar graphs as well: the Tutte polynomial of the dual graph of a planar graph is

    Acyclic orientation

    Acyclic orientation

    Acyclic_orientation

  • Klein four-group
  • Mathematical abelian group

    is the smallest group that is not cyclic. Up to isomorphism, there is only one other group of order four: the cyclic group of order 4. Both groups are

    Klein four-group

    Klein four-group

    Klein_four-group

  • Quasidihedral group
  • Finite group

    four isomorphism classes of non-abelian groups of order 2n which have a cyclic subgroup of index 2. Two are well known, the generalized quaternion group

    Quasidihedral group

    Quasidihedral group

    Quasidihedral_group

  • NetworkX
  • Python library for graphs and networks

    for visualizing cyclic or symmetric graphs, where the arrangement of nodes along the circle reflects the underlying topology of the graph. The Shell layout

    NetworkX

    NetworkX

    NetworkX

  • Occurs check
  • Algorithm component in computer science

    (named "check" there); applying rule "eliminate" instead leads to a cyclic graph (i.e. an infinite term) in the last step. ISO Prolog implementations

    Occurs check

    Occurs_check

  • Forcing graph
  • Class of graphs

    forcing conjecture states that the forcing graphs are exactly the cyclic bipartite graphs. It has been described as "one of the major open problems in extremal

    Forcing graph

    Forcing_graph

  • List of finite simple groups
  • order of the (cyclic) group of "field automorphisms" (generated by a Frobenius automorphism), and g is the order of the group of "graph automorphisms"

    List of finite simple groups

    List_of_finite_simple_groups

  • Hoffman–Singleton graph
  • 7-regular undirected graph with 50 nodes and 175 edges

    of graph theory, the Hoffman–Singleton graph is a 7-regular undirected graph with 50 vertices and 175 edges. It is the unique strongly regular graph with

    Hoffman–Singleton graph

    Hoffman–Singleton graph

    Hoffman–Singleton_graph

  • 4
  • Natural number

    dual positions with the vertices of another tetrahedron. The smallest non-cyclic group has four elements; it is the Klein four-group. An alternating groups

    4

    4

    4

  • Frucht's theorem
  • On graphs with given symmetry groups

    the undirected graph created by performing these replacements will also have G as its symmetry group. With three exceptions – the cyclic groups of orders

    Frucht's theorem

    Frucht's_theorem

  • Table of simple cubic graphs
  • Constructs with triply-connected vertices

    be cyclically permuted. If a graph contains different Hamiltonian circuits, one may select one of these to accommodate the notation. The same graph may

    Table of simple cubic graphs

    Table_of_simple_cubic_graphs

  • Dynkin diagram
  • Pictorial representation of symmetry

    of Lie theory, a Dynkin diagram, named for Eugene Dynkin, is a type of graph with some edges doubled or tripled (drawn as a double or triple line). Dynkin

    Dynkin diagram

    Dynkin diagram

    Dynkin_diagram

  • Young Scientist and Technology Exhibition
  • Irish annual school students' science competition

    2014 Paul Clarke 17 St Paul's College, Raheny, Dublin Contributions to cyclic graph theory. This is the second time the school has won the event. 2015 Ian

    Young Scientist and Technology Exhibition

    Young Scientist and Technology Exhibition

    Young_Scientist_and_Technology_Exhibition

  • Free group
  • Mathematics concept

    cyclically reduced word is a cyclic permutation of the letters in the word. For instance b − 1 a b c b {\displaystyle b^{-1}abcb} is not cyclically reduced

    Free group

    Free group

    Free_group

  • List of small groups
  • 60, the simple groups are precisely the cyclic groups Zn, for prime n.) The identity element in the cycle graphs is represented by the black circle. The

    List of small groups

    List_of_small_groups

  • Graphviz
  • Software package for graph visualization

    of multiple cyclic structures, such as certain telecommunications networks. dotty a graphical user interface to visualize and edit graphs. lefty a programmable

    Graphviz

    Graphviz

    Graphviz

  • Paley graph
  • Graph of numbers differing by a square

    Paley graphs form an infinite family of conference graphs, which yield an infinite family of symmetric conference matrices. Paley graphs allow graph-theoretic

    Paley graph

    Paley graph

    Paley_graph

  • Finite group
  • Mathematical group based upon a finite number of elements

    structure-preserving transformations. Important examples of finite groups include cyclic groups and permutation groups. The study of finite groups has been an integral

    Finite group

    Finite group

    Finite_group

  • Coxeter notation
  • Classification system for symmetry groups in geometry

    generator for [2p+,2+,2q+], as {0123,0132}. Half groups, [2p+,2+,2q+]+, or cyclic graph, [(2p+,2+,2q+,2+)], expressed by Conway is [Cp×Cq], order pq, with one

    Coxeter notation

    Coxeter notation

    Coxeter_notation

  • Symmetric group
  • Type of group in abstract algebra

    homogeneous spaces, and automorphism groups of graphs, such as the Higman–Sims group and the Higman–Sims graph. The elements of the symmetric group on a set

    Symmetric group

    Symmetric group

    Symmetric_group

  • Caterpillar tree
  • Tree graph with all nodes within distance 1 from central path

    They are the trees whose square is a Hamiltonian graph. That is, in a caterpillar, there exists a cyclic sequence of all the vertices in which each adjacent

    Caterpillar tree

    Caterpillar tree

    Caterpillar_tree

  • Finite model theory
  • Branch of logic

    whether the class of cyclic graphs can be distinguished among graphs by a FO sentence, which can also be phrased as asking whether cyclicity is FO-expressible

    Finite model theory

    Finite_model_theory

  • Topological sorting
  • Node ordering for directed acyclic graphs

    of the Hamiltonian path problem for more general directed graphs (i.e., cyclic directed graphs). Topological orderings are also closely related to the concept

    Topological sorting

    Topological_sorting

  • Toida's conjecture
  • symmetries of the circulant graph for n {\displaystyle n} and S {\displaystyle S} are symmetries coming from the underlying cyclic group. The conjecture was

    Toida's conjecture

    Toida's_conjecture

  • Comparability graph
  • Graph linking pairs of comparable elements in a partial order

    Comparability graphs have also been called transitively orientable graphs, partially orderable graphs, containment graphs, and divisor graphs. An incomparability

    Comparability graph

    Comparability_graph

  • Cyclic corrosion testing
  • Acceleration of real-world corrosion failures

    Cyclic Corrosion Testing (CCT) has evolved in recent years, largely within the automotive industry, as a way of accelerating real-world corrosion failures

    Cyclic corrosion testing

    Cyclic corrosion testing

    Cyclic_corrosion_testing

  • Accident analysis
  • Process to determine the causes of accidents to prevent recurrence

    events", results from Causal Analysis usually have the form of directed a-cyclic graphs – the nodes being events and the edges the cause-effect relations. Methods

    Accident analysis

    Accident analysis

    Accident_analysis

  • Hoffman graph
  • of the symmetric group S4 and the cyclic group Z/2Z. Despite not being vertex- or edge-transitive, the Hoffmann graph is still 1-walk-regular (but not

    Hoffman graph

    Hoffman graph

    Hoffman_graph

  • Snark (graph theory)
  • 3-regular graph with no 3-edge-coloring

    In the mathematical field of graph theory, a snark is an undirected graph with exactly three edges per vertex whose edges cannot be colored with only three

    Snark (graph theory)

    Snark (graph theory)

    Snark_(graph_theory)

  • Moment curve
  • geometry including cyclic polytopes, the no-three-in-line problem, and a geometric proof of the chromatic number of Kneser graphs. Every hyperplane intersects

    Moment curve

    Moment_curve

  • Circle packing theorem
  • On tangency patterns of circles

    whose interiors are disjoint. The intersection graph of a circle packing, called a coin graph, is the graph having a vertex for each circle, and an edge

    Circle packing theorem

    Circle packing theorem

    Circle_packing_theorem

  • Cyclomatic complexity
  • Measure of the structural complexity of a software program

    Cyclomatic complexity is computed using the control-flow graph of the program. The nodes of the graph correspond to indivisible groups of commands of a program

    Cyclomatic complexity

    Cyclomatic_complexity

  • Rado graph
  • Infinite graph containing all countable graphs

    In the mathematical field of graph theory, the Rado graph, Erdős–Rényi graph, or random graph is a countably infinite graph that can be constructed (with

    Rado graph

    Rado graph

    Rado_graph

  • Circulant matrix
  • Linear algebra matrix

    interpreted analytically as the integral kernel of a convolution operator on the cyclic group C n {\displaystyle C_{n}} and hence frequently appear in formal descriptions

    Circulant matrix

    Circulant_matrix

  • Graceful labeling
  • Type of graph vertex labeling

    graceful labeling? More unsolved problems in mathematics In graph theory, a graceful labeling of a graph with m edges is a labeling of its vertices with some

    Graceful labeling

    Graceful labeling

    Graceful_labeling

  • Markov random field
  • Set of random variables

    of random variables having a Markov property described by an undirected graph. In other words, a random field is said to be a Markov random field if it

    Markov random field

    Markov random field

    Markov_random_field

  • Uniform honeycombs in hyperbolic space
  • Tiling of hyperbolic 3-space by uniform polyhedra

    tetrahedra) as rank 5 graphs including parallel mirrors. Uniform honeycombs exist as all permutations of rings in these graphs, with the constraint that

    Uniform honeycombs in hyperbolic space

    Uniform honeycombs in hyperbolic space

    Uniform_honeycombs_in_hyperbolic_space

  • List of NP-complete problems
  • tree problem. Feedback vertex set Feedback arc set Graph coloring Graph homomorphism problem Graph partition into subgraphs of specific types (triangles

    List of NP-complete problems

    List_of_NP-complete_problems

  • Group action
  • Transformations induced by a mathematical group

    orbit–stabilizer theorem to count the automorphisms of a graph. Consider the cubical graph as pictured, and let G denote its automorphism group. Then

    Group action

    Group action

    Group_action

  • Planarity testing
  • Algorithmic problem of finding non-crossing drawings

    In graph theory, the planarity testing problem is the algorithmic problem of testing whether a given graph is a planar graph (that is, whether it can

    Planarity testing

    Planarity_testing

  • Stallings theorem about ends of groups
  • Theorem in group theory

    in the general case (1971). Let Γ {\displaystyle \Gamma } be a connected graph where the degree of every vertex is finite. One can view Γ {\displaystyle

    Stallings theorem about ends of groups

    Stallings_theorem_about_ends_of_groups

  • Convex uniform honeycomb
  • Spatial tiling of convex uniform polyhedra

    alternated cubic, (11 forms, 3 new) The A ~ 3 {\displaystyle {\tilde {A}}_{3}} cyclic group, [(3,3,3,3)] or [3[4]], (5 forms, one new) There is a correspondence

    Convex uniform honeycomb

    Convex uniform honeycomb

    Convex_uniform_honeycomb

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CYCLIC GRAPH

  • Cycle
  • v. i.

    To ride a bicycle, tricycle, or other form of cycle.

  • Cycling
  • p. pr. & vb. n.

    of Cycle

  • Cystic
  • a.

    Having the form of, or living in, a cyst; as, the cystic entozoa.

  • Cycling
  • n.

    The act, art, or practice, of riding a cycle, esp. a bicycle or tricycle.

  • Wheeling
  • n.

    The act or practice of using a cycle; cycling.

  • Cyclical
  • a.

    Of or pertaining to a cycle or circle; moving in cycles; as, cyclical time.

  • Cyclist
  • n.

    A cycler.

  • Colic
  • a.

    Of or pertaining to colic; affecting the bowels.

  • Circler
  • n.

    A mean or inferior poet, perhaps from his habit of wandering around as a stroller; an itinerant poet. Also, a name given to the cyclic poets. See under Cyclic, a.

  • Cyclic
  • a.

    Alt. of Cyclical

  • Cynical
  • a.

    Pertaining to the Dog Star; as, the cynic, or Sothic, year; cynic cycle.

  • Cycled
  • imp. & p. p.

    of Cycle

  • Wheelman
  • n.

    One who rides a bicycle or tricycle; a cycler, or cyclist.

  • Cycle
  • v. i.

    To pass through a cycle of changes; to recur in cycles.

  • Cycle
  • n.

    One entire round in a circle or a spire; as, a cycle or set of leaves.

  • Colic
  • a.

    Of or pertaining to the colon; as, the colic arteries.

  • Circular
  • a.

    Adhering to a fixed circle of legends; cyclic; hence, mean; inferior. See Cyclic poets, under Cyclic.

  • Hylic
  • a.

    Of or pertaining to matter; material; corporeal; as, hylic influences.

  • Cystic
  • a.

    Containing cysts; cystose; as, cystic sarcoma.

  • Cistic
  • a.

    See Cystic.