Name
Abstract | ||
|---|---|---|
Let G be a finite group of order n and S (possibly, contains the identity element) be a subset of G. The Bi-Cayley graph BC(G, S) of G is a bipartite graph with vertex set G x {0,1} and edge set {{(g, 0), (gs, 1)}vertical bar g is an element of G, s is an element of S}. Let p (0 < p < 1) be a fixed number. We define B = {X = BC(G, S), S subset of G} as a sample space and, assign a probability measure by requiring P-r(X) = p(k)q(n-k), for X = BC(G, S) with vertical bar S vertical bar = k. Here it is shown that the probability of the set of Bi-Cayley graph of G with diameter 3 approaches 1 as the order n of G approaches infinity. |
Year | Venue | Keywords |
|---|---|---|
2013 | ARS COMBINATORIA | Bi-Cayley graph,Random,Diameter |
Field | DocType | Volume |
Discrete mathematics,Combinatorics,Cayley graph,Mathematics | Journal | 111 |
ISSN | Citations | PageRank |
0381-7032 | 0 | 0.34 |
References | Authors | |
0 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xingchao Deng | 1 | 1 | 1.11 |
| Jixiang Meng | 2 | 353 | 55.62 |