Results 11 to 20 of about 472 (183)
Novel Concepts in Rough Cayley Fuzzy Graphs with Applications
Journal of Mathematics, 2023 Today, fuzzy graphs (FGs) have a variety of applications in other fields of study, including medicine, engineering, and psychology, and for this reason, many researchers around the world are trying to identify their properties and use them in computer ...
Yongsheng Rao +5 more
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Applications of Strongly Regular Cayley Graphs to Codebooks
IEEE Access, 2023 In this paper, we give a construction of strongly regular Cayley graphs on the finite field $\mathbb {F}_{q^{n}}$ . As applications of these strongly regular Cayley graphs, a class of codebooks is presented and proved to be asymptotically optimal with ...
Qiuyan Wang +3 more
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On the Cayley graphs of symmetric group $S_4$ [PDF]
Journal of Mahani Mathematical ResearchLet $S_n$ be the symmetric group of degree $n$. In this paper, we classify non-isomorphic Cayley graphs of $S_4$ of valency 3. Moreover, we verify that there are exactly 10 non-isomorphic Cayley graphs of $S_4$ with valency 3.
Fatemeh Raei
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Classification of Cayley Rose Window Graphs
Theory and Applications of Graphs, 2021 Rose window graphs are a family of tetravalent graphs, introduced by Steve Wilson. Following it, Kovacs, Kutnar and Marusic classified the edge-transitive rose window graphs and Dobson, Kovacs and Miklavic characterized the vertex transitive rose window ...
Angsuman Das, Arnab Mandal
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Moore mixed graphs from Cayley graphs
Electronic Journal of Graph Theory and Applications, 2023 A Moore (r, z, k)-mixed graph G has every vertex with undirected degree r, directed in- and out-degree z, diameter k, and number of vertices (or order) attaining the corresponding Moore bound M(r, z, k) for mixed graphs. When the order of G is close to M(
Cristina Dalfo, Miquel Àngel Fiol
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Quantum simulation of Cayley-tree Ising Hamiltonians with three-dimensional Rydberg atoms
Physical Review Research, 2021 Significant efforts are being directed toward developing a quantum simulator capable of solving combinatorial optimization problems. The challenges are Hamiltonian programming in terms of high-dimensional qubit connectivities and large-scale ...
Yunheung Song +4 more
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A note on $1$-factorizability of quartic supersolvable Cayley graphs [PDF]
Transactions on Combinatorics, 2018 Alspach et al. conjectured that every quartic Cayley graph on an even solvable group is $1$-factorizable. In this paper, we verify this conjecture for quartic Cayley graphs on supersolvable groups of even order.
Milad Ahanjideh, Ali Iranmanesh
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On covers of graphs by Cayley graphs [PDF]
European Journal of Combinatorics, 2017 We prove that every vertex transitive, planar, 1-ended, graph covers every graph whose balls of radius r are isomorphic to the ball of radius r in G for a sufficiently large r. We ask whether this is a general property of finitely presented Cayley graphs, as well as further related questions.
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Spectra of twists of Cayley and Cayley sum graphs
Advances in Applied Mathematics, 2022 Let $G$ be a finite group with $|G|\geq 4$ and $S$ be a subset of $G$. Given an automorphism $σ$ of $G$, the twisted Cayley graph $C(G, S)^σ$ (resp. the twisted Cayley sum graph $C_Σ(G, S)^σ$) is defined as the graph having $G$ as its set of vertices and the adjacent vertices of a vertex $g\in G$ are of the form $σ(gs)$ (resp.
Arindam Biswas 0003, Jyoti Prakash Saha
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Domination in Cayley graphs: A survey
AKCE International Journal of Graphs and Combinatorics, 2019 Let Ω be a symmetric generating set of a finite group Γ. Assume that (Γ,Ω)be such that Γ=〈Ω〉and Ω satisfies the two conditions C1: the identity element e∉Ω and C2: if a∈Ω, then a−1∈Ω. Given (Γ,Ω)satisfying C1and C2, define a Cayley graph G=Cay(Γ,Ω)with V(
T. Tamizh Chelvam, M. Sivagami
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