Results 11 to 20 of about 589,042 (217)
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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On Some Properties of Signed Cayley Graph Sn
Mathematics, 2022 We define the signed Cayley graph on Cayley graph Xn denoted by Sn, and study several properties such as balancing, clusterability and sign-compatibility of the signed Cayley graph Sn.
Deepa Sinha +2 more
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Electronic Notes in Discrete Mathematics, 2016 Abstract Let R be a commutative ring with two binary operators addition (+) and multiplication (.). Then Z n is a ring of integers modulo n, where n is a positive integer. A Absorption Cayley graph denoted by Ω ( Z n ) is a graph whose vertex set is Z n , the integer modulo n and edge set E = { a b ...
Deepa Sinha, Deepakshi Sharma
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Color Energy Of A Unitary Cayley Graph [PDF]
Discussiones Mathematicae Graph Theory, 2014 Let G be a vertex colored graph. The minimum number χ(G) of colors needed for coloring of a graph G is called the chromatic number. Recently, Adiga et al.
Adiga Chandrashekar +2 more
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Consistent Quadratic Phase Formation in 3D Fast Spin Echo Using Frequency-Modulated RF Pulses. [PDF]
Magn Reson MedABSTRACT Purpose Frequency‐modulated (FM) RF pulses achieve broadband excitation with low RF peak power, which is required in MRI with inhomogeneous magnetic fields. However, the quadratic phase generated with FM pulses makes it difficult to use them in fast spin echo (FSE), because even and odd refocused echoes have different spatial phase profiles ...
Kobayashi N, Garwood M.
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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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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.
M. H. Shahzamanian +2 more
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Cayley and Tutte polytopes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 Cayley polytopes were defined recently as convex hulls of Cayley compositions introduced by Cayley in 1857. In this paper we resolve Braun's conjecture, which expresses the volume of Cayley polytopes in terms of the number of connected graphs.
Matjaž Konvalinka, Igor Pak
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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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COMPUTING THE EIGENVALUES OF CAYLEY GRAPHS OF ORDER p2q [PDF]
Journal of Algebraic Systems, 2020 A graph is called symmetric if its full automorphism group acts transitively on the set of arcs. The Cayley graph $Gamma=Cay(G,S)$ on group $G$ is said to be normal symmetric if $N_A(R(G))=R(G)rtimes Aut(G,S)$ acts transitively on the set of arcs of ...
M. Ghorbani +2 more
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