Results 51 to 60 of about 8,766 (207)

Distance signless Laplacian eigenvalues, diameter, and clique number [PDF]

open access: yesDiscrete Mathematics Letters, 2022
Saleem Khan, Shariefuddin Pirzada
doaj   +1 more source

Characteristics of Complexity: Clique Number of a Polytope Graph and Rectangle Covering Number

open access: yesМоделирование и анализ информационных систем, 2014
In the 1980s V.A. Bondarenko found that the clique number of the graph of a polytope in many cases corresponds to the actual complexity of the optimization problem on the vertices of the polytope.
A. N. Maksimenko
doaj   +1 more source

Ramsey numbers of cubes versus cliques [PDF]

open access: yesCombinatorica, 2014
26 ...
Conlon, David   +3 more
openaire   +5 more sources

Ramsey Numbers of Connected Clique Matchings

open access: yesThe Electronic Journal of Combinatorics, 2017
We determine the Ramsey number of a connected clique matching. That is, we show that if $G$ is a $2$-edge-coloured complete graph on $(r^2-r-1)n-r+1$ vertices, then there is a monochromatic connected subgraph containing $n$ disjoint copies of $K_r$, and that this number of vertices cannot be reduced.
openaire   +4 more sources

Clique roots of K4-free chordal graphs

open access: yesElectronic Journal of Graph Theory and Applications, 2019
The clique polynomial C(G, x) of a finite, simple and undirected graph G = (V, E) is defined as the ordinary generating function of the number of complete subgraphs of G. A real root of C(G, x) is called a clique root of the graph G.
Hossein Teimoori Faal
doaj   +1 more source

Intersection graphs associated with semigroup acts [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2019
< p>The intersection graph $\\mathbb{Int}(A)$ of an $S$-act $A$ over a semigroup $S$ is an undirected simple graph whose vertices are non-trivial subacts of $A$, and two distinct vertices are adjacent if and only if they have a non-empty intersection. In
Abdolhossein Delfan   +2 more
doaj   +1 more source

Hypergraph Ramsey numbers: Triangles versus cliques

open access: yesJournal of Combinatorial Theory, Series A, 2013
Abstract A celebrated result in Ramsey Theory states that the order of magnitude of the triangle-complete graph Ramsey numbers R ( 3 , t ) is t 2 / log t . In this paper, we consider an analogue of this problem for uniform hypergraphs. A triangle is a hypergraph consisting of edges e , f , g such that | e ∩
Alexandr Kostochka   +2 more
openaire   +1 more source

The Use of an Exact Algorithm within a Tabu Search Maximum Clique Algorithm

open access: yesAlgorithms, 2020
Let G=(V,E) be an undirected graph with vertex set V and edge set E. A clique C of G is a subset of the vertices of V with every pair of vertices of C adjacent. A maximum clique is a clique with the maximum number of vertices. A tabu search algorithm for
Derek H. Smith   +2 more
doaj   +1 more source

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