Results 41 to 50 of about 176 (112)
, 2012 2010 Mathematics Subject Classification: Primary 05C25. Secondary 20K01, 05C45.Let Cay(G;S) denote the Cayley graph on a finite group G with connection set S. We extend two results about the existence of cycles in Cay(G;S) from cyclic groups to arbitrary
Parmenter, M. M.
core
Two gluing methods for string C-group representations of the symmetric groups [PDF]
The study of string C-group representations of rank at least \(n/2\) for the symmetric group \(S_n\) has gained a lot of attention in the last fifteen years. In a recent paper, Cameron et al.
Mulpas, Jessica, Leemans, Dimitri
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Journal of Mathematics, Volume 2026, Issue 1, 2026.Let R be a commutative completely primary finite ring with an identity 1 ≠ 0 and a unique maximal ideal Z(R) such that (Z(R))5 = (0) and (Z(R))4 ≠ (0). Let Γ(R) denote the zero‐divisor graph whose vertex set V(Γ(R)) = Z(R)∗ consists of all nonzero zero‐divisors of R, where two distinct vertices u, v ∈ V(Γ(R)) are adjacent if and only if uv = 0. In this
Ndago F. Omondi +2 more
wiley +1 more source
Classification of Filiform Lie Algebras up to dimension 7 Over Finite Fields
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 This paper tries to develop a recent research which consists in using Discrete Mathematics as a tool in the study of the problem of the classification of Lie algebras in general, dealing in this case with filiform Lie algebras up to dimension 7 over ...
Falcón Óscar J. +4 more
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On 7-valent symmetric graphs of order 2pq and 11-valent symmetric graphs of order 4pq
Open Mathematics, 2022 A graph is said to be symmetric if its automorphism group is transitive on its arcs. This article is one of a series of articles devoted to characterizing prime-valent arc-transitive graphs of square-free order or twice square-free order. In this article,
Ling Bo, Lan Ting, Ding Suyun
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On the Presentation and Cayley Graph of the Bruck–Reilly Idealization Semigroup
Journal of Mathematics, Volume 2026, Issue 1, 2026.Transferring constructions between different algebraic structures often reveals deep connections and enables the application of techniques from one theory to another. The idealization of the module over a ring, introduced by Nagata in 1962, has been a powerful tool in commutative algebra for decades.
Suha Wazzan +3 more
wiley +1 more source
The join of split graphs whose completely regular endomorphisms form a monoid
Open Mathematics, 2017 In this paper, completely regular endomorphisms of the join of split graphs are investigated. We give conditions under which all completely regular endomorphisms of the join of two split graphs form a monoid.
Hou Hailong, Song Yanhua, Gu Rui
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On the sandpile model of modified wheels II
Open Mathematics, 2020 We investigate the abelian sandpile group on modified wheels Wˆn{\hat{W}}_{n} by using a variant of the dollar game as described in [N. L. Biggs, Chip-Firing and the critical group of a graph, J. Algebr. Comb. 9 (1999), 25–45].
Raza Zahid +3 more
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, 2013 Classification AMS : 05 - Combinatorics for finite fields/05C - Graphs theory for applications of graphs/05C25 - Graphs and groups 05 - Combinatorics for finite fields/05C - Graphs theory for applications of graphs/05C69 - Dominating sets, independent ...
Lantner, Roland, Lebert, Didier
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Journal of Mathematics, Volume 2026, Issue 1, 2026.Among various graph products, the corona product continues to inspire novel research. Subdivision graphs play a key role in understanding graph behaviour under edge modifications. The estimation of Wiener index under various graph operations is of considerable importance and has attracted substantial attention in chemical graph theory.
Vimal M. +4 more
wiley +1 more source