Results 81 to 90 of about 8,766 (207)

Maximum Cliques in Graphs with Small Intersection Number and Random Intersection Graphs [PDF]

open access: green, 2012
Sotiris Nikoletseas   +2 more
openalex   +1 more source

On bounds for the atom bond sum connectivity index of graphs associated with symmetric numerical semigroups

open access: yesAKCE International Journal of Graphs and Combinatorics
The computation of the clique number of a graph is a fundamental problem in graph theory, which has many applications in computational chemistry, bioinformatics, computer, and social networking.
Ying Wang   +5 more
doaj   +1 more source

Packing Cliques in Graphs with Independence Number 2 [PDF]

open access: yesCombinatorics, Probability and Computing, 2007
Let G be a graph with no three independent vertices. How many edges of G can be packed with edge-disjoint copies of K k ? More specifically, let f k (n, m) be the largest integer t such that, for any graph with n vertices, m edges, and independence number 2, at least t edges can be packed with edge-disjoint copies of K k
openaire   +1 more source

Extremal Sombor Index of Graphs with Cut Edges and Clique Number

open access: yesAxioms
The Sombor index is defined as SO(G)=∑uv∈E(G)d2(u)+d2(v), where d(u) and d(v) represent the number of edges in the graph G connected to the vertices u and v, respectively.
Mihrigul Wali, Raxida Guji
doaj   +1 more source

Sufficient Conditions for Maximally Edge-Connected and Super-Edge-Connected Graphs Depending on The Clique Number

open access: yesDiscussiones Mathematicae Graph Theory, 2019
Let G be a connected graph with minimum degree δ and edge-connectivity λ. A graph is maximally edge-connected if λ = δ, and it is super-edgeconnected if every minimum edge-cut is trivial; that is, if every minimum edge-cut consists of edges incident with
Volkmann Lutz
doaj   +1 more source

Clique number of the square of a line graph [PDF]

open access: green, 2015
Małgorzata Śleszyńska-Nowak
openalex   +1 more source

0036 | Clique Number in Neutrosophic Graphs

open access: yes, 2022
In this book, some notions are introduced about Independence in Neutrosophic Graphs. Three chapters are devised as Common Notions , Modified Notions and Extended Notions . Three manuscripts are cited as the references of these chapters which are my 53rd, 54th, and 55th manuscripts.
openaire   +1 more source

Treewidth versus clique number: induced minors

open access: yes
We prove that a hereditary class of graphs is $(\mathsf{tw}, ω)$-bounded if and only if the induced minors of the graphs from the class form a $(\mathsf{tw}, ω)$-bounded class.
Hilaire, Claire   +3 more
openaire   +2 more sources

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