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Graph able to be partitioned into multiple independent sets
multipartite graph is a graph that is complete k-partite for some k. The Turán graphs are the special case of complete multipartite graphs in which the
Multipartite_graph
sets of vertices in a tree decomposition. balanced A bipartite or multipartite graph is balanced if each two subsets of its vertex partition have sizes
Glossary_of_graph_theory
Graph with oriented edges
complete graph with the edges replaced by pairs of inverse arcs). It follows that a complete digraph is symmetric. Semicomplete multipartite digraphs
Directed_graph
Bipartite graph where each node of 1st set is linked to all nodes of 2nd set
matching from a complete bipartite graph Complete multipartite graph, a generalization of complete bipartite graphs to more than two sets of vertices Biclique
Complete_bipartite_graph
Balanced complete multipartite graph
The Turán graph, denoted by T ( n , r ) {\displaystyle T(n,r)} , is a complete multipartite graph; it is formed by partitioning a set of n {\displaystyle
Turán_graph
Graph with at most one crossing per edge
many graphs. A complete classification of the 1-planar complete graphs, complete bipartite graphs, and more generally complete multipartite graphs is known
1-planar_graph
Graph property
{\displaystyle G,} unless G {\displaystyle G} is a cycle graph or a complete multipartite graph. If G {\displaystyle G} is strongly regular, then n ≤ 4
Distance-regular_graph
Methodic assignment of colors to elements of a graph
signed graphs and gain graphs. Critical graph Graph coloring game Graph homomorphism Hajós construction Mathematics of Sudoku Multipartite graph Uniquely
Graph_coloring
Graph divided into two independent sets
bipartite graph whose vertices can be ordered so that the vertex neighborhoods are contiguous Multipartite graph, a generalization of bipartite graphs to more
Bipartite_graph
Extremal graph theory bound on clique-free graph edges
Many of the proofs involve reducing to the case where the graph is a complete multipartite graph, and showing that the number of edges is maximized when
Turán's_theorem
Concept in graph theory
regular graphs. These include the disjoint union of one or more equal-sized complete graphs, and their complements, the complete multipartite graphs with
Strongly_regular_graph
Abstract mathematical system of two types of objects and a relation between them
\bigcup _{i<j}P_{i}\times P_{j}.} The Levi graph for these structures is defined as a multipartite graph with vertices corresponding to each type being
Incidence_structure
Graph made from disjoint union of complete graphs
graphs. They are the complement graphs of the complete multipartite graphs and the 2-leaf powers. The cluster graphs are transitively closed, and every
Cluster_graph
Concept in quantum computing
also detect genuine multipartite entanglement close to graph states. Here, the graph state itself has to be genuine multipartite entangled, that is, it
Graph_state
Python library for graphs and networks
NetworkX is a Python library for studying graphs and networks. NetworkX is free software released under the BSD-new license. NetworkX began development
NetworkX
of graph theory, the sphericity of a graph is a graph invariant defined to be the smallest dimension of Euclidean space required to realize the graph as
Sphericity_(graph_theory)
Generalization of linear assignment problem from two to multiple dimensions
describing the problem using graph theory: The multidimensional assignment problem consists of finding, in a weighted multipartite graph, a matching of a given
Multidimensional assignment problem
Multidimensional_assignment_problem
Graph coloring variant in graph theory
_{0}(G)\leq \chi _{\rho }(G)\leq \alpha _{0}(G)+1} For complete multipartite graphs and wheel graphs G {\displaystyle G} : χ ρ ( G ) = α 0 ( G ) + 1 {\displaystyle
Packing_coloring
Upper bound on a graph's Shannon capacity
In graph theory, the Lovász number of a graph is a real number that is an upper bound on the Shannon capacity of the graph. It is also known as Lovász
Lovász_number
theorem) as well as the complete bipartite graphs and complete multipartite graphs. The simplest example of a graph that is not well-colored is a four-vertex
Well-colored_graph
Graph layout on multiple half-planes
the graph are very unbalanced, with b > a(a − 1), the book thickness of Ka,b is exactly a. For the Turán graph T(kr,r) (a complete multipartite graph Kk
Book_embedding
Regular polytope dual to the hypercube in any number of dimensions
complete multipartite graphs, βp 2 make Kp,p for complete bipartite graph, βp 3 make Kp,p,p for complete tripartite graphs βp n creates Kpn or Turán graphs T
Cross-polytope
Quantum state
genuine multipartite entangled. Now the bound approaches 1/2 for large N {\displaystyle N} , which makes experiments for detecting genuine multipartite entanglement
Dicke_state
Graph invariant defined from axis-parallel unit cubes
K_{p(2)}} denotes the complete multipartite graph with p {\displaystyle p} parts of cardinal 2 {\displaystyle 2} . For a graph G {\displaystyle G} on n {\displaystyle
Cubicity
{\displaystyle K_{3,3,1,1}} -family is generated from the complete multipartite graph K 3 , 3 , 1 , 1 {\displaystyle K_{3,3,1,1}} through repeated application
Heawood_family
Form taken by the network of interconnections of a circuit
linear graph", IEEE Transactions on Circuit Theory, vol.16, iss.3, pp. 323–330, August 1969. MacMahon, Percy A., "Yoke-chains and multipartite compositions
Circuit_topology_(electrical)
Direct sum of uniform matroids
forms a matroid if and only if G {\displaystyle G} is a complete multipartite graph, and in this case the resulting matroid is a partition matroid. The
Partition_matroid
Entangled state of qubits
thinking of cluster states is as a particular instance of graph states, where the underlying graph is a connected subset of a d-dimensional lattice. Cluster
Cluster_state
Deviations from local realism
nonlocality refers to the phenomenon by which the measurement statistics of a multipartite quantum system do not allow an interpretation with local hidden variables
Quantum_nonlocality
Property of objects inherited by all their subobjects
forests, planar, complete, complete multipartite etc. Sometimes the term "hereditary" has been defined with reference to graph minors; then it may be called
Hereditary_property
Independent set in a graph
Haxell, Penny; Szabó, Tibor (2012). "Bounded transversals in multipartite graphs". Journal of Graph Theory. 70 (3): 318–331. doi:10.1002/jgt.20618. ISSN 1097-0118
Rainbow-independent_set
American mathematician (1949–2022)
Rodger, C. A. (June 1992). "The chromatic index of complete multipartite graphs". Journal of Graph Theory. 16 (2): 159–163. doi:10.1002/jgt.3190160207. Retrieved
Dean_G._Hoffman
weak perfect graph theorem. See Cornuéjols & Reed (1993) for the case in which the co-disconnected side of the partition is multipartite, and Roussel
Skew_partition
Conditional independence of exchangeable observations
Parrilo, Pablo A.; Spedalieri, Federico M. (2005-01-01). "Detecting multipartite entanglement". Physical Review A. 71 (3) 032333. arXiv:quant-ph/0407143
De_Finetti's_theorem
Graphical language for quantum processes
Coecke, Bob; Kissinger, Aleks (2010). "The Compositional Structure of Multipartite Quantum Entanglement". Automata, Languages and Programming. Lecture Notes
ZX-calculus
Italian mathematician (1906–1985)
Parrilo, Pablo A.; Spedalieri, Federico M. (1 January 2005). "Detecting multipartite entanglement". Physical Review A. 71 (3) 032333. arXiv:quant-ph/0407143
Bruno_de_Finetti
Networks with multiple kinds of relations
The term "fully multidimensional" has also been used to refer to a multipartite edge-labeled multigraph. Multidimensional networks have also recently
Multidimensional_network
Society, No. 119, American Mathematical Society, 1972. Gessel, Ira. Multipartite P-partitions and inner products of skew Schur functions, Combinatorics
Quasisymmetric_function
Species of bacterium
muelleri, in return, produces more complex substrates. Cicadas have a multipartite symbiostic system including vertically-transmitted "Ca. Karelsulcia"
Karelsulcia_muelleri
MULTIPARTITE GRAPH
MULTIPARTITE GRAPH
Surname or Lastname
German (also Gräff), Dutch, and Jewish (Ashkenazic)
German (also Gräff), Dutch, and Jewish (Ashkenazic) : variant of Graf.English : metonymic occupational name for a clerk or scribe, from Anglo-Norman French grafe ‘quill’, ‘pen’ (a derivative of grafer ‘to write’, Late Latin grafare, from Greek graphein).
Boy/Male
Spanish American Italian Latin
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
Boy/Male
Italian Spanish
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
Boy/Male
Italian Spanish
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
Boy/Male
Italian Spanish
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
MULTIPARTITE GRAPH
MULTIPARTITE GRAPH
Surname or Lastname
English
English : variant spelling of Male.
Boy/Male
Indian, Punjabi, Sikh
The One Absorbed in the Lord
Boy/Male
Arabic, British, English, Muslim
Victorious; Happy; Fortunate
Boy/Male
Tamil
Gods grace, Gods blessing
Girl/Female
Arabic, Muslim
Adorning the Crown
Girl/Female
Hindu, Indian
God Gift
Female
Hebrew
Variant spelling of Hebrew Bina, BINAH means "intelligence, wisdom."Â
Girl/Female
Hindu
Suswetha means good white. su means good and Swetha means white
Girl/Female
Indian, Telugu
Glowing
Girl/Female
Biblical
House of the tooth, or of ivory, or of sleep.
MULTIPARTITE GRAPH
MULTIPARTITE GRAPH
MULTIPARTITE GRAPH
MULTIPARTITE GRAPH
MULTIPARTITE GRAPH
n.
A crucible; as, a graphite pot; a melting pot.
n.
Hence, any graphic or vivid delineation or description of a person; as, a portrait in words.
n.
See Graphoscope.
n.
A pen-shaped pointing device used to specify the cursor position on a graphics tablet.
n.
Anything which represents graphically a succession of events, states, or acts; as, an historical map.
n.
The quality or state of being graphic.
a.
Alt. of Graphical
a.
Having the faculty of, or characterized by, clear and impressive description; vivid; as, a graphic writer.
a.
Alt. of Graphitoidal
n.
Alt. of Graphicalness
a.
Expressing the type, structure, relations, and reactions of a compound; graphic; -- said of formulae. See under Formula.
n.
A mineral, a telluride of gold and silver, of a steel-gray, silver-white, or brass-yellow color. It often occurs in implanted crystals resembling written characters, and hence is called graphic tellurium.
a.
Divided into many parts; having several parts.
n.
An instrument for measuring, and recording graphically, the pressure of the blood in any of the blood vessels of a living animal; -- called also kymographion.
n.
A chart or graphic representation of the average distribution of rain over the surface of the earth.
adv.
In a graphic manner; vividly.
a.
Resembling graphite or plumbago.
n.
An instrument for recording graphically the variations of temperature, or the indications of a thermometer.
n.
An instrument which, when applied over an artery, indicates graphically the movements or character of the pulse. See Sphygmogram.
a.
Pertaining to, containing, derived from, or resembling, graphite.