Approximating Cayley Diagrams Versus Cayley Graphs
نویسندگان
چکیده
منابع مشابه
Cayley graphs and coset diagrams
Let G be a finite group, and X a subset of G. The Cayley graph of G with respect to X , written Cay(G,X) has two different definitions in the literature. The vertex set of this graph is the group G. In one definition, there is an arc from g to xg for all g ∈ G and x ∈ X ; in the other definition, for the same pairs (g,x), there is an arc from g to gx. Cayley graphs are generalised by coset grap...
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It is, however, not clear how to choose the generators to produce special graphs. We know many topologies and their generators, but many more may be constructed in the future, having better properties (in terms of diameter, nodal degree and connectivity) than for instance the hypercube. I will present several graphs which connect rings using the generator g 1 and some additional generators.
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These notes are to help with the Homework. Not everything is as mathematically precise as one would find in a textbook. 1. Groups The information in this section is well know and can be found in most introductory books on group theory. See for example [4], [6], or [3]. 1.1. Basic Examples of Groups. Definition 1. A group is a nonempty set G with a binary operation ∗ which satisfies the followin...
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ژورنال
عنوان ژورنال: Combinatorics, Probability and Computing
سال: 2012
ISSN: 0963-5483,1469-2163
DOI: 10.1017/s0963548311000733