Results 31 to 40 of about 8,766 (207)

Clique numbers of graphs

open access: yesDiscrete Mathematics, 1986
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Erdös, Paul, Erné, Marcel
openaire   +1 more source

Algorithmic Aspects of Some Variations of Clique Transversal and Clique Independent Sets on Graphs

open access: yesAlgorithms, 2021
This paper studies the maximum-clique independence problem and some variations of the clique transversal problem such as the {k}-clique, maximum-clique, minus clique, signed clique, and k-fold clique transversal problems from algorithmic aspects for k ...
Chuan-Min Lee
doaj   +1 more source

Chromatic and clique numbers of a class of perfect graphs [PDF]

open access: yesTransactions on Combinatorics, 2015
Let p be a prime number and n be a positive integer. The graph G p (n) is a graph with vertex set [n]=1,2,ldots,n , in which there is an arc from u to v if and only if uneqv and pnmidu+v . In this paper it is shown that G p (n) is a perfect
Mohammad Reza Fander
doaj  

An optimization algorithm for maximum quasi-clique problem based on information feedback model [PDF]

open access: yesPeerJ Computer Science
The maximum clique problem in graph theory is a well-known challenge that involves identifying the complete subgraph with the highest number of nodes in a given graph, which is a problem that is hard for nondeterministic polynomial time (NP-hard problem).
Shuhong Liu   +4 more
doaj   +2 more sources

The Clique Number and The Chromatics Number Of The Coprime Graph for The Generalized Quarternion Group

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika), 2023
Graph theory can give a representation of abstract mathematical systems such as groups or rings. We have many graph representations for a group, in this study we use the coprime graph representation for a generalized quaternion group to find the ...
Marena Rahayu Gayatri   +5 more
doaj   +1 more source

Zero-sum partition theorems for graphs

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1994
Let q=pn be a power of an odd prime p. We show that the vertices of every graph G can be partitioned into t(q) classes V(G)=⋃t=1t(q)Vi such that the number of edges in any induced subgraph 〈Vi〉 is divisible by q, where t(q)≤32(q−1)−(2(q−1)−1)124+98, and ...
Y. Caro, I. Krasikov, Y. Roditty
doaj   +1 more source

A Transformation Which Preserves the Clique Number

open access: yesJournal of Combinatorial Theory, Series B, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gerber, Michael U., Hertz, Alain
openaire   +1 more source

Getting new algorithmic results by extending distance-hereditary graphs via split composition [PDF]

open access: yesPeerJ Computer Science, 2021
In this paper, we consider the graph class denoted as Gen(∗;P3,C3,C5). It contains all graphs that can be generated by the split composition operation using path P3, cycle C3, and any cycle C5 as components.
Serafino Cicerone, Gabriele Di Stefano
doaj   +2 more sources

Automorphisms and Distinguishing Numbers of Geometric Cliques [PDF]

open access: yesDiscrete & Computational Geometry, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Albertson, Michael O., Boutin, Debra L.
openaire   +2 more sources

Community Detection in Complex Network Based on Triangle Clique Attractors [PDF]

open access: yesJisuanji gongcheng, 2016
Aiming at the problem that complex network community detection process is complex and time complexity is high,according to the numerical relationship of triangle clique between nodes,a community detection algorithm is designed based on triangle clique ...
CAI Biao,TUO Xianguo,SANG Qiang,YANG Kaixue,LIU Lizhao
doaj   +1 more source

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