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  • Flexibility and Movability ... Flexibility and Movability in Cayley Graphs
    Biswas, Arindam Annals of combinatorics, 03/2022, Volume: 26, Issue: 1
    Journal Article
    Peer reviewed
    Open access

    Let Γ = ( V , E ) be a (non-trivial) finite graph with λ : E → R + an edge labeling of Γ . Let ρ : V → R 2 be a map which preserves the edge labeling, i.e., ‖ ρ ( u ) - ρ ( v ) ‖ 2 = λ ( ( u , v ) ) ...
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42.
  • Orthogonal colourings of Ca... Orthogonal colourings of Cayley graphs
    Janssen, Jeannette; MacKeigan, Kyle Discrete mathematics, November 2020, 2020-11-00, Volume: 343, Issue: 11
    Journal Article
    Peer reviewed
    Open access

    Two colourings of a graph are orthogonal if they have the property that when two vertices are coloured with the same colour in one colouring, then those vertices receive distinct colours in the other ...
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43.
  • An infinite class of Neumai... An infinite class of Neumaier graphs and non-existence results
    Abiad, Aida; Castryck, Wouter; De Boeck, Maarten ... Journal of combinatorial theory. Series A, January 2023, 2023-01-00, Volume: 193
    Journal Article
    Peer reviewed
    Open access

    A Neumaier graph is a non-complete edge-regular graph containing a regular clique. A Neumaier graph that is not strongly regular is called a strictly Neumaier graph. In this work we present a new ...
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44.
  • The spanning cyclability of... The spanning cyclability of Cayley graphs generated by transposition trees
    Qiao, Hongwei; Sabir, Eminjan; Meng, Jixiang Discrete Applied Mathematics, 03/2023, Volume: 328
    Journal Article
    Peer reviewed

    Embedding cycles into a network topology is crucial for the network simulation. In particular, embedding Hamiltonian cycles is a major requirement for designing good interconnection networks. A graph ...
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45.
  • Integral equienergetic non-... Integral equienergetic non-isospectral unitary Cayley graphs
    Podestá, Ricardo A.; Videla, Denis E. Linear algebra and its applications, 03/2021, Volume: 612
    Journal Article
    Peer reviewed
    Open access

    We prove that the Cayley graphs X(G,S) and X+(G,S) are equienergetic for any abelian group G and any symmetric subset S. We then focus on the family of unitary Cayley graphs GR=X(R,R⁎), where R is a ...
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47.
  • A finite simple group is CC... A finite simple group is CCA if and only if it has no element of order four
    Morgan, Luke; Morris, Joy; Verret, Gabriel Journal of algebra, 03/2021, Volume: 569
    Journal Article
    Peer reviewed
    Open access

    A Cayley graph for a group G is CCA if every automorphism of the graph that preserves the edge-orbits under the regular representation of G is an element of the normaliser of G. A group G is then ...
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48.
  • On Cayley graphs over gener... On Cayley graphs over generalized dicyclic groups
    Behajaina, Angelot; Legrand, François Linear algebra and its applications, 06/2022, Volume: 642
    Journal Article
    Peer reviewed
    Open access

    Recently, several works by a number of authors have studied integrality, distance integrality, and distance powers of Cayley graphs over some finite groups, such as dicyclic groups and (generalized) ...
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49.
  • The endomorphism monoids an... The endomorphism monoids and automorphism groups of Cayley graphs of semigroups
    Khosravi, Behnam Semigroup forum, 08/2017, Volume: 95, Issue: 1
    Journal Article
    Peer reviewed

    In this note, we introduce the notions of color-permutable automorphisms and color-permutable vertex-transitive Cayley graphs of semigroups. As a main result, for a finite monoid S and a generating ...
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  • Cubic non-normal Cayley gra... Cubic non-normal Cayley graphs of order 4p2
    Zhou, Jin-Xin; Li, Yan-Tao Discrete mathematics, 07/2012, Volume: 312, Issue: 12-13
    Journal Article
    Peer reviewed
    Open access

    A Cayley graph Cay(G,S) on a group G is said to be normal if the right regular representation R(G) of G is normal in the full automorphism group of Cay(G,S). In this paper all connected cubic ...
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