p-competition numbers
β Scribed by Suh-ryung Kim; Terry A. McKee; F.R. McMorris; Fred S. Roberts
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 431 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
It is known to be a hard problem to compute the competition number k(G) of a graph G in general. Park and Sano (in press) [16] gave the exact values of the competition numbers of Hamming graphs H(n, q) if 1 β€ n β€ 3 or 1 β€ q β€ 2. In this paper, we give an explicit formula for the competition numbers
It is known, that for U/~IIOS~ all /z-vertex simple graphs one needs S!(,j' '(log") ' ' ) extra vertices to obtain them as a double competition graph of a digraph. In this note a construction 15 given to shou that 2,~" ' are always sufficient.
If D is an acyclic digraph, its competition graph is an undirected graph with the same vertex set and an edge between vertices x and y if there is a vertex a so that (x, a) and (y, a) are both arcs of D. If G is any graph, G together with sufficiently many isolated vertices is a competition graph, a
We show that in the Blum-Shub-Smale model of computation, over the p-adic numbers Q p ; the class NC Q p is strictly contained in the class P Q p : That is, there exist sets of p-adic numbers which can be recognized in sequential polynomial time, but which cannot be recognized in polylogarithmic par