Results 71 to 80 of about 18,169 (133)
European Journal of Applied SciencesIn this paper, a new class of digraphs, namely, Cayley coset digraphs associated with a group , a subgroup and a subset of is introduced and it is shown that it is vertex transitive. Further the conditions under which this digraph is connected, complete and has loops and parallel edges are obtained.
Sujatha Suram, Madhavi Levaku
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Large butterfly Cayley graphs and digraphs [PDF]
Discrete Mathematics, 2017 We present families of large undirected and directed Cayley graphs whose construction is related to butterfly networks. One approach yields, for every large $k$ and for values of $d$ taken from a large interval, the largest known Cayley graphs and digraphs of diameter $k$ and degree $d$.
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On automorphisms of Cayley-digraphs of abelian groups
Discrete Mathematics, 2003 Suppose \(G\) is a finite additive abelian group, then fix some subset \(B\) of \(G\), such that for the identity element \(0\) of \(G\), \(0\not\in B\). The Cayley-digraph of \(G\) with respect to \(B\) is defined as the digraph \(\Gamma(G,B)\), which has vertex set \(G\) and for any pair of elements \(x,y\) of \(G\) there is an edge from \(x\) to \(y\
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When the arc-colored line digraph of a cayley colored digraph is again a cayley colored digraph
Let D6(G) be the Cayley colored ügraph of a finite group G generated by A. The arc-colored line digraph of a Cayley colored digraph ie obtained by appropriately coloring the arcs of its line digraph.
Fiol Mora, Maria Lluïsa +2 more
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Infinite Hamiltonian paths in Cayley digraphs
Discrete Mathematics, 1985 Let Cay(S:H) be the Cayley digraph of the generators S in the group H. A one-way infinite Hamiltonian path in the digraph G is a listing of all the vertices \([v_ i: 1\leq ...
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Cayley four-form Φ on an eight-dimensional manifold M is a real differential form of a special algebraic type, which determines a Riemannian metric on M as well as a unit real Weyl spinor.
Krasnov, Kirill
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On the path homology of Cayley digraphs and covering digraphs
Journal of AlgebraWe develop a theory of covering digraphs, similar to the theory of covering spaces. By applying this theory to Cayley digraphs, we build a "bridge" between GLMY-theory and group homology theory, which helps to reduce path homology calculations to group homology computations.
Shaobo Di +3 more
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Suborbit Structure of Permutation p-Groups and an Application to Cayley Digraph Isomorphism
, 2004 Let P be a transitive permutation group of order pm, p an odd prime, containing a regular cyclic subgroup. The main result of this paper is a determination of the suborbits of P.
Shaofei Du, Brian Alspach
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Two kookaburras on a branch [picture] /
, 1893 Title from accession record.; Inscriptions: signed and dated lower right. "Australian birds; published by W. Aldenhoven. No.
Cayley, Neville, 1854-1903.
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