Results 21 to 30 of about 28,901 (265)
AUTOMORPHISMS OF DISTANCE-REGULAR GRAPH WITH INTERSECTION ARRAY {25; 16; 1; 1; 8; 25}
Ural Mathematical Journal, 2017 Makhnev and Samoilenko have found parameters of strongly regular graphs with no more than 1000 vertices, which may be neighborhoods of vertices in antipodal distance-regular graph of diameter 3 and with \(\lambda=\mu\).
Konstantin S. Efimov +1 more
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Fast Symbolic Algorithms for Omega-Regular Games under Strong Transition Fairness [PDF]
TheoretiCS, 2023 We consider fixpoint algorithms for two-player games on graphs with $\omega$-regular winning conditions, where the environment is constrained by a strong transition fairness assumption.
Tamajit Banerjee +4 more
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Directed Strongly Regular Cayley Graphs over Metacyclic Groups of Order 4n
Mathematics, 2019 We construct several new families of directed strongly regular Cayley graphs (DSRCGs) over the metacyclic group M 4 n = 〈 a , b | a n = b 4 = 1 , b − 1 a b = a − 1 〉 , some of which generalize those ...
Tao Cheng, Lihua Feng, Weijun Liu
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A Formal Model for Polarization under Confirmation Bias in Social Networks [PDF]
Logical Methods in Computer Science, 2023 We describe a model for polarization in multi-agent systems based on Esteban and Ray's standard family of polarization measures from economics. Agents evolve by updating their beliefs (opinions) based on an underlying influence graph, as in the standard ...
Mário S. Alvim +4 more
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On Automorphisms of a Distance-Regular Graph with Intersection Array {125,96,1;1,48,125} [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2017 J. Koolen posed the problem of studying distance-regular graphs in which neighborhoods of vertices are strongly regular graphs with the second eigenvalue ≤ t for the given positive integer t.
V.V. Bitkina, A.A. Makhnev
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Linear Codes from Two Weakly Regular Plateaued Balanced Functions
Entropy, 2023 Linear codes with a few weights have been extensively studied due to their wide applications in secret sharing schemes, strongly regular graphs, association schemes, and authentication codes.
Shudi Yang, Tonghui Zhang, Ping Li
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On the construction and comparison of graph irregularity indices [PDF]
Kragujevac Journal of Science, 2017 Irregularity indices are generally used for quantitative characterization of topological structure of non-regular graphs. According to a widely accepted preconception, using a topological invariant (called a graph irregularity index) for that purpose ...
Réti Tamás, Tóth-Laufer Edit
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Automorphism groups of the constituent graphs of integral distance graphs
AKCE International Journal of Graphs and Combinatorics, 2023 In this paper, we consider the automorphism groups of Cayley graphs which are a basis of a complete Boolean algebra of strongly regular graphs, one of such graph is the integral distance graph [Formula: see text] The automorphism groups of the integral ...
O. Habineza, E. Mwambene
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On the structure of compact graphs [PDF]
Opuscula Mathematica, 2017 A simple graph \(G\) is called a compact graph if \(G\) contains no isolated vertices and for each pair \(x\), \(y\) of non-adjacent vertices of \(G\), there is a vertex \(z\) with \(N(x)\cup N(y)\subseteq N(z)\), where \(N(v)\) is the neighborhood of ...
Reza Nikandish, Farzad Shaveisi
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On Strongly Regular Graphs and the Friendship Theorem
MathematicsThis paper presents an alternative proof of the celebrated friendship theorem, originally established by Erdős, Rényi, and Sós in 1966. The proof relies on a closed-form expression for the Lovász ϑ-function of strongly regular graphs, recently derived by
Igal Sason
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