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The S-graph framework is an approach to solving batch process scheduling problems in chemical plants. S-graph is suited for the problems with a non-intermediate
S-graph
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
Area of discrete mathematics
computer science, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context
Graph_theory
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
Vertices connected in pairs by edges
In discrete mathematics, particularly in graph theory, a graph is a structure consisting of a set of objects where some pairs of the objects are in some
Graph_(discrete_mathematics)
Graph that can be embedded in the plane
In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect
Planar_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
Class of artificial neural networks
Graph neural networks (GNNs) are artificial neural networks designed for tasks whose inputs are graphs. Because graphs usually do not have a canonical
Graph_neural_network
Graph representing edges of another graph
In the mathematical discipline of graph theory, the line graph of an undirected graph G is another graph L(G) that represents the adjacencies between edges
Line_graph
Graph defined from a mathematical group
In mathematics, a Cayley graph, also known as a Cayley color graph, Cayley diagram, group diagram, or color group, is a graph that encodes the abstract
Cayley_graph
Database using graph structures for queries
A graph database (GDB) is a database that uses graph structures for semantic queries with nodes, edges, and properties to represent and store data. A key
Graph_database
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
Directed graph representing dependencies
the dependency graph. Given a set of objects S {\displaystyle S} and a transitive relation R ⊆ S × S {\displaystyle R\subseteq S\times S} with ( a , b
Dependency_graph
Cubic graph with 10 vertices and 15 edges
bridgeless graph has a cycle-continuous mapping to the Petersen graph. More unsolved problems in mathematics In the mathematical field of graph theory, the
Petersen_graph
Unrelated vertices in graphs
each edge in the graph has at most one endpoint in S {\displaystyle S} . A set is independent if and only if it is a clique in the graph's complement. The
Independent set (graph theory)
Independent_set_(graph_theory)
Sparse graph with strong connectivity
In graph theory, an expander graph is a sparse graph that has strong connectivity properties, quantified using vertex, edge or spectral expansion. Expander
Expander_graph
Linear algebra aspects of graph theory
In mathematics, spectral graph theory is the study of the properties of a graph in relationship to the characteristic polynomial, eigenvalues, and eigenvectors
Spectral_graph_theory
Graph nodes linked to, but not part of, a subgraph
In graph theory, the outer boundary of a subset S of the vertices of a graph G is the set of vertices in G that are adjacent to vertices in S, but not
Boundary_(graph_theory)
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
Number of edges touching a vertex in a graph
In graph theory, the degree (or valency) of a vertex of a graph is the number of edges that are incident to the vertex; in a multigraph, a loop contributes
Degree_(graph_theory)
Matrix representation of a graph
In the mathematical field of graph theory, the Laplacian matrix, also called the graph Laplacian, admittance matrix, Kirchhoff matrix, or discrete Laplacian
Laplacian_matrix
Graph where each vertex has the same number of neighbors
In graph theory, a regular graph is a graph where each vertex has the same number of neighbors; i.e. every vertex has the same degree or valency. A regular
Regular_graph
Concept in graph theory
In graph theory, a strongly regular graph (SRG) is a regular graph G = (V, E) with v vertices and degree k such that for some given integers λ , μ ≥ 0
Strongly_regular_graph
Graph divided into two independent sets
In the mathematical field of graph theory, a bipartite graph (or bigraph) is a graph whose vertices can be divided into two disjoint and independent sets
Bipartite_graph
On bipartite matching and vertex cover
In the mathematical area of graph theory, Kőnig's theorem, proved by Dénes Kőnig (1931), describes an equivalence between the maximum matching problem
Kőnig's theorem (graph theory)
Kőnig's_theorem_(graph_theory)
Flow graph invented by Claude Shannon
A signal-flow graph or signal-flowgraph (SFG), invented by Claude Shannon, but often called a Mason graph after Samuel Jefferson Mason who coined the
Signal-flow_graph
Partition of a graph's nodes into 2 disjoint subsets
In graph theory, a cut is a partition of the vertices of a graph into two disjoint subsets. Any cut determines a cut-set, the set of edges that have one
Cut_(graph_theory)
Directed graph representing overlaps between sequences of symbols
In graph theory, an n-dimensional De Bruijn graph of m symbols is a directed graph representing overlaps between sequences of symbols. It has mn vertices
De_Bruijn_graph
Undirected graph named after S. S. Shrikhande
mathematical field of graph theory, the Shrikhande graph is a graph discovered by S. S. Shrikhande in 1959. It is a strongly regular graph with 16 vertices
Shrikhande_graph
Family of cubic graphs formed from regular and star polygons
Petersen graph and generalize one of the ways of constructing the Petersen graph. The generalized Petersen graph family was introduced in 1950 by H. S. M.
Generalized_Petersen_graph
Graph with all vertices of degree 3
of graph theory, a cubic graph is a graph in which all vertices have degree three. In other words, a cubic graph is a 3-regular graph. Cubic graphs are
Cubic_graph
Whether one vertex can be reached from another in a graph
In graph theory, reachability refers to the ability to get from one vertex to another within a graph. A vertex s {\displaystyle s} can reach a vertex t
Reachability
Graph where all long cycles have a chord
In the mathematical area of graph theory, a chordal graph is one in which all cycles of four or more vertices have a chord, which is an edge that is not
Chordal_graph
Square matrix used to represent a graph or network
In graph theory and computer science, an adjacency matrix is a square matrix used to represent a finite graph. The elements of the matrix indicate whether
Adjacency_matrix
Conjecture: A graph G with Δ ( G ) > n / 3 {\displaystyle \Delta (G)>n/3} is class 2 if and only if it has an overfull subgraph S such that Δ ( G ) = Δ ( S ) {\displaystyle
Overfull_graph
Subgraph with contracted edges
In graph theory, an undirected graph H is called a minor of the undirected graph G if H can be formed from G by deleting edges and vertices and by contracting
Graph_minor
Abstract data type in computer science
science, a graph is an abstract data type that is meant to implement the undirected graph and directed graph concepts from the field of graph theory within
Graph_(abstract_data_type)
Subdivision of vertices into disjoint sets
In mathematics, a graph partition is the reduction of a graph to a smaller graph by partitioning its set of nodes into mutually exclusive groups. Edges
Graph_partition
Balanced complete multipartite graph
{n^{2}}{2}}\right\rfloor } . The graph has s {\displaystyle s} subsets of size q + 1 {\displaystyle q+1} , and r − s {\displaystyle r-s} subsets of size q {\displaystyle
Turán_graph
Geometric graph with unit edge lengths
In mathematics, particularly geometric graph theory, a unit distance graph is a graph formed from a collection of points in the Euclidean plane by connecting
Unit_distance_graph
Undirected, connected, and acyclic graph
In graph theory, a tree is an undirected graph in which every pair of distinct vertices is connected by exactly one path, or equivalently, a connected
Tree_(graph_theory)
Graph defined from a set of points in the Euclidean plane
In mathematics and computational geometry, the Gabriel graph of a set S {\displaystyle S} of points in the Euclidean plane expresses one notion of proximity
Gabriel_graph
Data query language developed by Facebook
or modified. A GraphQL server can process a client query using data from separate sources and present the results in a unified graph. The language is
GraphQL
Visualization of node-link graphs
Graph drawing is an area of mathematics and computer science combining methods from geometric graph theory and information visualization to derive two-dimensional
Graph_drawing
Trail in which only the first and last vertices are equal
In graph theory, a cycle in a graph is a non-empty trail in which only the first and last vertices are equal. A directed cycle in a directed graph is
Cycle_(graph_theory)
Number of vertices with unambiguous distances
In graph theory, the metric dimension of a graph G is the minimum cardinality of a subset S of vertices such that all other vertices are uniquely determined
Metric dimension (graph theory)
Metric_dimension_(graph_theory)
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
Cartesian product of complete graphs
Let S be a set of q elements and d a positive integer. The Hamming graph H(d,q) has vertex set Sd, the set of ordered d-tuples of elements of S, or sequences
Hamming_graph
Logical formulation of graph properties
sentence S {\displaystyle S} may be true for some graphs, and false for others; a graph G {\displaystyle G} is said to model S {\displaystyle S} , written
Logic_of_graphs
Two closely related models for generating random graphs
the mathematical field of graph theory, the Erdős–Rényi models are two closely related models for generating random graphs and the evolution of a random
Erdős–Rényi_model
Set of edges without common vertices
In the mathematical discipline of graph theory, a matching or independent edge set in an undirected graph is a set of edges without common vertices. In
Matching_(graph_theory)
Graph generated by a random process
In mathematics, random graph is the general term to refer to probability distributions over graphs. Random graphs may be described simply by a probability
Random_graph
Statement in mathematical combinatorics
colouring of the complete graph on R(r, s) vertices contains a blue clique on r vertices or a red clique on s vertices. (Here R(r, s) signifies an integer
Ramsey's_theorem
Graph drawing with vertices in horizontal layers
Layered graph drawing or hierarchical graph drawing is a type of graph drawing in which the vertices of a directed graph are drawn in horizontal rows or
Layered_graph_drawing
Trail in a graph that visits each edge once
In graph theory, an Eulerian trail (or Eulerian path) is a trail in a finite graph that visits every edge exactly once (allowing for revisiting vertices)
Eulerian_path
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
Representation of a mathematical function
In mathematics, the graph of a function f {\displaystyle f} is the set of ordered pairs ( x , y ) {\displaystyle (x,y)} , where f ( x ) = y . {\displaystyle
Graph_of_a_function
Sierpiński graphs (or Sierpiński networks) are a family of graphs defined by two parameters n {\displaystyle n} and k {\displaystyle k} , denoted S ( n , k
Sierpiński_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
Assignment of labels to elements of a graph
discipline of graph theory, a graph labeling is the assignment of labels, traditionally represented by integers, to edges and/or vertices of a graph. Formally
Graph_labeling
Cryptocurrency
The Graph is an open-source, decentralized protocol that powers the indexing and querying of blockchain data. It enables developers to build scalable
The_Graph
Bipartite graph where each node of 1st set is linked to all nodes of 2nd set
In the mathematical field of graph theory, a complete bipartite graph or biclique is a special kind of bipartite graph where every vertex of the first
Complete_bipartite_graph
Intersection graph for intervals on the real number line
intersection graph of the intervals. Interval graphs are chordal graphs and perfect graphs. They can be recognized in linear time, and an optimal graph coloring
Interval_graph
Node ordering for directed acyclic graphs
computer science, a topological sort or topological ordering of a directed graph is a linear ordering of its vertices such that for every directed edge (u
Topological_sorting
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
Adjacent subset of an undirected graph
In graph theory, a clique (/ˈkliːk/ or /ˈklɪk/) is a subset of vertices of an undirected graph such that every two distinct vertices in the clique are
Clique_(graph_theory)
Finiteness of sets of forbidden graph minors
graph theory, the Robertson–Seymour theorem (also called the graph minors theorem) states that the undirected graphs, partially ordered by the graph minor
Robertson–Seymour_theorem
Bijection between the vertex set of two graphs
In graph theory, an isomorphism of graphs G and H is a bijection between the vertex sets of G and H f : V ( G ) → V ( H ) {\displaystyle f\colon V(G)\to
Graph_isomorphism
Writing paper with a grid
Graph paper, coordinate paper, grid paper, or squared paper is writing paper that is printed with fine lines making up a regular grid. It is available
Graph_paper
Sequence of edges which join a sequence of vertices on a given graph
In graph theory, a path in a graph is a finite or infinite sequence of edges which joins a sequence of vertices which, by most definitions, are all distinct
Path_(graph_theory)
Class of undirected graphs defined from systems of sets
mathematics, Johnson graphs are a special class of undirected graphs defined from systems of sets. The vertices of the Johnson graph J ( n , k ) {\displaystyle
Johnson_graph
the line graph L(K8) of the complete graph K8. Each of these three graphs may be obtained by graph switching from L(K8). That is, a subset S of the vertices
Chang_graphs
chromatic index χ s t ′ ( G ) {\displaystyle \chi '_{st}(G)} of the corona product of a path graph with cycle, wheel, helm and gear graphs are known. Corona
Corona_product
Graph able to be partitioned into multiple independent sets
In graph theory, a part of mathematics, a k-partite graph is a graph whose vertices are (or can be) partitioned into k different independent sets. Equivalently
Multipartite_graph
Graph representing structure of another graph's cliques
In graph theory, a clique graph of an undirected graph G is another graph K(G) that represents the structure of cliques in G. Clique graphs were discussed
Clique_graph
Maximal subgraph whose vertices can reach each other
In graph theory, a component of an undirected graph is a connected subgraph that is not part of any larger connected subgraph. The components of any graph
Component_(graph_theory)
precedence graph, also named conflict graph and serializability graph, is used in the context of concurrency control in databases. It is the directed graph representing
Precedence_graph
Graph with a median for each three vertices
In graph theory, a division of mathematics, a median graph is an undirected graph in which every three vertices a {\displaystyle a} , b {\displaystyle
Median_graph
Graphical representation of energy flows in physical systems
A bond graph is a graphical representation of the energy flows though and between physical dynamical systems including those in the electrical, mechanical
Bond_graph
Graph made from disjoint union of complete graphs
In graph theory, a branch of mathematics, a cluster graph is a graph formed from the disjoint union of complete graphs. Equivalently, a graph is a cluster
Cluster_graph
the two-graph. A regular two-graph has the property that every pair of vertices lies in the same number of triples of the two-graph. Two-graphs have been
Two-graph
Generalization of graph theory
hypergraph is a generalization of a graph in which an edge can join any number of vertices. In contrast, in an ordinary graph, an edge connects exactly two
Hypergraph
Method of finding a directed graph's strongly connected components
find the strongly connected components of a directed graph. Aho, Hopcroft and Ullman credit it to S. Rao Kosaraju and Micha Sharir. Kosaraju suggested it
Kosaraju's_algorithm
Length of shortest path between two nodes of a graph
mathematical field of graph theory, the distance between two vertices in a graph is the number of edges in a shortest path (also called a graph geodesic) connecting
Distance_(graph_theory)
Dimensionality reduction of graph-based semantic data objects [machine learning task]
In representation learning, knowledge graph embedding (KGE), also called knowledge representation learning (KRL), or multi-relation learning, is a machine
Knowledge_graph_embedding
Construction in combinatorial group theory
theory, the Schreier coset graph is a graph associated with a group G, a generating set of G, and a subgroup of G. The Schreier graph encodes the abstract structure
Schreier_coset_graph
3-regular graph with 30 vertices and 45 edges
mathematical field of graph theory, the Tutte–Coxeter graph or Tutte eight-cage or Cremona–Richmond graph is a 3-regular graph with 30 vertices and 45
Tutte–Coxeter_graph
Graph whose vertices correspond to combinations of a set of n elements
In graph theory, the Kneser graph K(n, k) (alternatively KGn,k) is the graph whose vertices correspond to the k-element subsets of a set of n elements
Kneser_graph
Optimization technique
As applied in the field of computer vision, graph cut optimization can be employed to efficiently solve a wide variety of low-level computer vision problems
Graph cuts in computer vision and artificial intelligence
Graph_cuts_in_computer_vision_and_artificial_intelligence
Fewest edge crossings in drawing of a graph
graph theory, the crossing number cr(G) of a graph G is the lowest number of edge crossings of a plane drawing of the graph G. For instance, a graph is
Crossing number (graph theory)
Crossing_number_(graph_theory)
Mathematical game played on a graph
Graph pebbling is a mathematical game played on a graph with zero or more pebbles on each of its vertices. 'Game play' is composed of a series of pebbling
Graph_pebbling
Graph which remains connected when k or fewer nodes removed
In graph theory, a connected graph G is said to be k-vertex-connected (or k-connected) if it has more than k vertices and remains connected whenever fewer
Vertex_connectivity
Graph representing intersections between given sets
In graph theory, an intersection graph is a graph that represents the pattern of intersections of a family of sets. Any graph can be represented as an
Intersection_graph
Procedures for constructing new graphs in graph theory
graph from an initial one by a complex change, such as: transpose graph; complement graph; line graph; graph minor; graph rewriting; power of graph;
Graph_operations
Physical simulation to visualize graphs
Force-directed graph drawing algorithms are a class of algorithms for drawing graphs in an aesthetically-pleasing way. Their purpose is to position the
Force-directed_graph_drawing
Describing a family of graphs by excluding certain (sub)graphs
In graph theory, a branch of mathematics, many important families of graphs can be described by a finite set of individual graphs that do not belong to
Forbidden graph characterization
Forbidden_graph_characterization
Intersection graph of a chord diagram
In graph theory, a circle graph is the intersection graph of a chord diagram. That is, it is an undirected graph whose vertices can be associated with
Circle_graph
Intersection graph of unit intervals on the real line
In graph theory, a branch of mathematics, an indifference graph is an undirected graph constructed by assigning a real number to each vertex and connecting
Indifference_graph
Function graph representing factorization
A factor graph is a bipartite graph representing the factorization of a function. In probability theory and its applications, factor graphs are used to
Factor_graph
interval of time on the graph. If this interval is made to be infinitesimally small, such that Δ s {\displaystyle {\Delta s}} becomes d s {\displaystyle {ds}}
Motion_graphs_and_derivatives
S GRAPH
S GRAPH
Male
Irish
Irish form of Latin Nicolaus, NIOCLÃS means "victor of the people."Â
Male
Spanish
 Spanish form of Greek ThÅmas, TOMÃS means "twin." Compare with another form of Tomás.
Male
Irish
 Irish Gaelic form of Greek ThÅmas, TOMÃS means "twin." Compare with another form of Tomás.
Female
Hungarian
Hungarian form of Roman Latin Felicitas, FELICITÃS means "fortune; good luck."
Female
Irish
Irish Gaelic form of Greek Elisabet, EILÃS means "God is my oath."
Male
Spanish
Portuguese and Spanish form of Greek Andreas, ANDRÉS means "man; warrior."
Male
Spanish
Spanish form of Hebrew Moshe, MOISÉS means "drawn out."
Male
Hungarian
Hungarian form of Greek Nikolaos, MIKLÓS means "victor of the people."Â
Male
Hungarian
Hungarian form of Greek Barnabas, BARNABÃS means "son of exhortation."Â
Male
Hungarian
Hungarian form of Greek Elias, ILLÉS means "the Lord is my God."Â
Male
German
German name derived from Latin Aloisius, ALOÃS means "famous warrior."
Male
Hungarian
Hungarian form of Greek ThÅmas, TAMÃS means "twin." In use by the Romani.
Male
Spanish
Spanish form of Middle Latin Venceslaus, VENCESLÃS means "more glory."Â
Male
Irish
Irish Gaelic form of Latin Lucas, LÚCÃS means "from Lucania."
Male
Greek
(ΘεÏιστής) Greek name THERISTÃS means "mowing month," referring to the month of June.
Male
Spanish
Spanish form of Latin Nicolaus, NICOLÃS means "victor of the people."
Male
Hungarian
Hungarian form of Greek Andreas, ANDRÃS means "man; warrior."
Surname or Lastname
Catalan (Sirés)
Catalan (Sirés) : variant of Cirés, a habitational name from a town in l’Alt Berguedà district, Catalonia.Catalan (Sirès) : variant of Cirès, a habitational name from a town in l’Alta Ribagorça district.English : probably a variant spelling of Syers.
Male
Irish
Irish Gaelic form of Latin Laurentius, LABHRÃS means "of Laurentum."
Female
French
French form of Latin Anna, ANAÃS means "favor; grace."
S GRAPH
S GRAPH
Surname or Lastname
English
English : patronymic from Lamb 2.
Biblical
gift; he that gives
Girl/Female
Muslim/Islamic
Consenting
Girl/Female
Greek
Myrtle.
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Telugu
Stars
Surname or Lastname
English (Somerset and Devon)
English (Somerset and Devon) : apparently a habitational name, although no place of this name is known.
Boy/Male
British, English
From the Wether-sheep Farm
Girl/Female
Indian
Brave
Girl/Female
British, English
Form of Ryley
Girl/Female
Tamil
River Yamuna
S GRAPH
S GRAPH
S GRAPH
S GRAPH
S GRAPH
a.
Curved in two directions, like the letter S, or the Greek /.
n.
The American pinefinch (S. pinus); -- called also pine siskin. See Pinefinch.
v. i.
To pronounce the sibilant letter s imperfectly; to give s and z the sound of th; -- a defect common among children.
n.
One of two or more species of marine food fishes of the genus Stromateus (S. niger, S. argenteus) native of Southern Europe and Asia.
n.
A marine food fish of the genus Scorpaena, as the European hogfish (S. scrofa), and the California species (S. guttata).
n.
Any one of several species of birds of the genus Sitta, as the European species (Sitta Europaea). The white-breasted nuthatch (S. Carolinensis), the red-breasted nuthatch (S. Canadensis), the pygmy nuthatch (S. pygmaea), and others, are American.
n.
A genus of plants comprehending the potato (S. tuberosum), the eggplant (S. melongena, and several hundred other species; nightshade.
n.
A plant of the genus Senecio (S. hieracifolius).
n.
A by-bidder; a decoy for gamblers [Slang, U. S.].
n.
A movement in dancing. See Balance, v. i., S.
a.
Curved somewhat in the form of the letter S.
v. t.
To to/s back and forth; to agitate; to disquiet.
n.
The Greek letter /, /, or / (English S, or s). It originally had the form of the English C.