منابع مشابه
Cayley graphs - Cayley nets
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.
متن کاملVector Space semi-Cayley Graphs
The original aim of this paper is to construct a graph associated to a vector space. By inspiration of the classical definition for the Cayley graph related to a group we define Cayley graph of a vector space. The vector space Cayley graph ${rm Cay(mathcal{V},S)}$ is a graph with the vertex set the whole vectors of the vector space $mathcal{V}$ and two vectors $v_1,v_2$ join by an edge whenever...
متن کاملOn two-dimensional Cayley graphs
A subset W of the vertices of a graph G is a resolving set for G when for each pair of distinct vertices u,v in V (G) there exists w in W such that d(u,w)≠d(v,w). The cardinality of a minimum resolving set for G is the metric dimension of G. This concept has applications in many diverse areas including network discovery, robot navigation, image processing, combinatorial search and optimization....
متن کاملCayley Graphs
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: Journal of Topology and Analysis
سال: 2020
ISSN: 1793-5253,1793-7167
DOI: 10.1142/s1793525321500096