Results 1 to 10 of about 420,658 (213)
On transitivity and connectedness of Cayley graphs of gyrogroups [PDF]
Heliyon, 2021 In this work, we explore edge direction, transitivity, and connectedness of Cayley graphs of gyrogroups. More specifically, we find conditions for a Cayley graph of a gyrogroup to be undirected, transitive, and connected.
Rasimate Maungchang +3 more
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Roughness in Fuzzy Cayley Graphs [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 Rough set theory is a worth noticing approach for inexact and uncertain system modelling. When rough set theory accompanies with fuzzy set theory, which both are a complementary generalization of set theory, they will be attended by potency in ...
M.H. Shahzamanian, B. Davvaz
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Roughness in Cayley graphs [PDF]
Information Sciences, 2010 In this paper, rough approximations of Cayley graphs are studied and rough edge Cayley graphs are introduced. Furthermore, a new algebraic definition called pseudo-Cayley graphs containing Cayley graphs is proposed. Rough approximation is expanded to pseudo-Cayley graphs.
Bijan Davvaz
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Cubic Cayleygraphs with small diameter. [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 In this paper we apply Polya's Theorem to the problem of enumerating Cayley graphs on permutation groups up to isomorphisms induced by conjugacy in the symmetric group.
Eugene Curtin
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The Electronic Journal of Combinatorics, 2022 We survey some of the known results on eigenvalues of Cayley graphs and their applications, together with related results on eigenvalues of Cayley digraphs and generalizations of Cayley graphs.
Xiaogang Liu, Sanming Zhou
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Graphs Defined on Rings: A Review
Mathematics, 2023 The study on graphs emerging from different algebraic structures such as groups, rings, fields, vector spaces, etc. is a prominent area of research in mathematics, as algebra and graph theory are two mathematical fields that focus on creating and ...
S. Madhumitha, Sudev Naduvath
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Random walks on Cayley graphs of complex reflection groups
Журнал Белорусского государственного университета: Математика, информатика, 2021 Asymptotic properties of random walks on minimal Cayley graphs of complex reflection groups are investigated. The main result of the paper is theorem on fast mixing for random walks on Cayley graphs of complex reflection groups.
Maksim M. Vaskouski
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Hamiltonian Cycles in Cayley Graphs of Gyrogroups
Mathematics, 2022 In this study, we investigate Hamiltonian cycles in the right-Cayley graphs of gyrogroups. More specifically, we give a gyrogroup version of the factor group lemma and show that some right-Cayley graphs of certain gyrogroups are Hamiltonian.
Rasimate Maungchang +3 more
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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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