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41.
  • On Some Properties of Addition Signed Cayley Graph
    Obaidullah Wardak; Ayushi Dhama; Deepa Sinha Mathematics (Basel), 09/2022, Volume: 10, Issue: 19
    Journal Article
    Peer reviewed
    Open access

    We define an addition signed Cayley graph on a unitary addition Cayley graph Gn represented by Σ n∧ , and study several properties such as balancing, clusterability and sign compatibility of the ...
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42.
  • A family of \(2\)-groups an... A family of \(2\)-groups and an associated family of semisymmetric, locally \(2\)-arc-transitive graphs
    Hawtin, Daniel R; Praeger, Cheryl E; Zhou, Jin-Xin Glasnik matematički, 12/2023, Volume: 58, Issue: 2
    Journal Article, Paper
    Peer reviewed
    Open access

    A mixed dihedral group is a group \(H\) with two disjoint subgroups \(X\) and \(Y\), each elementary abelian of order \(2^n\), such that \(H\) is generated by \(X\cup Y\), and \(H/H'\cong X\times ...
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43.
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44.
  • Generic length functions on... Generic length functions on countable groups
    Jarnevic, A.; Osin, D.; Oyakawa, K. Journal of algebra, 12/2023, Volume: 635
    Journal Article
    Peer reviewed
    Open access

    Let L(G) denote the space of integer-valued length functions on a countable group G endowed with the topology of pointwise convergence. Assuming that G does not satisfy any non-trivial mixed ...
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45.
  • On the subgraphs of Cayley ... On the subgraphs of Cayley sum graphs
    Zhang, Jun-Yang; Yang, Yue-Yue Discrete mathematics, August 2023, 2023-08-00, Volume: 346, Issue: 8
    Journal Article
    Peer reviewed

    The Cayley sum graph CS(G,A) of an abelian group G with a square-free subset A of G as the connection set is the graph with vertex set G and two vertices x and y being adjacent if and only if x+y∈A. ...
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46.
  • A classification of tetrava... A classification of tetravalent connected vertex-transitive bi-dicirculants
    Cao, Jianji; Kwon, Young Soo; Zhang, Mimi Discrete mathematics, October 2023, 2023-10-00, Volume: 346, Issue: 10
    Journal Article
    Peer reviewed

    A graph is said to be a bi-Cayley graph over a group H if it admits H as a group of automorphisms acting semiregularly on its vertex-set with two orbits of equal size. A bi-Cayley graph over a ...
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47.
  • The edge fault-tolerant two... The edge fault-tolerant two-disjoint path covers of Cayley graphs generated by a transposition tree
    Qiao, Hongwei; Meng, Jixiang; Sabir, Eminjan Discrete Applied Mathematics, 10/2024, Volume: 356
    Journal Article
    Peer reviewed

    Given a graph G, let S and T be two disjoint vertex subsets of equal size k in G. A many-to-many k-disjoint path cover of G joining S and T is a set of k vertex-disjoint paths between S and T that ...
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48.
  • Hitting time, resistance di... Hitting time, resistance distance and Kirchhoff index of Cayley graphs over dicyclic and semi-dihedral groups
    Yang, Jing; Wu, Yongjiang; Feng, Lihua ... Applied mathematics and computation, 07/2023, Volume: 448
    Journal Article
    Peer reviewed

    •This paper derived the closed-form formulae for the hitting time, resistance distance and Kirchhoff index of the Cayley graphs over dicyclic and semi-dihedral groups. The main tool we used involves ...
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49.
  • On unitary Cayley graphs of... On unitary Cayley graphs of matrix rings
    Chen, Bocong; Huang, Jing Discrete mathematics, January 2022, 2022-01-00, Volume: 345, Issue: 1
    Journal Article
    Peer reviewed
    Open access

    Let Fq be a finite field of order q and let R be a finite commutative local ring which is not a field. Recently, three (resp. four) distinct eigenvalues of the unitary Cayley graph CMn(Fq) (resp. ...
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50.
  • On the distance eigenvalues... On the distance eigenvalues of Cayley graphs
    Majid Arezoomand پژوهش‌های ریاضی, 06/2022, Volume: 8, Issue: 2
    Journal Article
    Peer reviewed
    Open access

    In this paper, graphs are undirected and loop-free and groups are finite. By Cn, Kn and Km,n we mean the cycle graph with n vertices, the complete graph with n vertices and the complete bipartite ...
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