𝔖 Bobbio Scriptorium
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p-competition numbers

✍ 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.


πŸ“œ SIMILAR VOLUMES


Chromatic numbers of competition graphs
✍ J.Richard Lundgren; Sarah K. Merz; Craig W. Rasmussen πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 964 KB
The competition numbers of ternary Hammi
✍ Boram Park; Yoshio Sano πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 243 KB

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 ≀ n ≀ 3 or 1 ≀ q ≀ 2. In this paper, we give an explicit formula for the competition numbers

p-competition graphs
✍ Suh-ryung Kim; Terry A. McKee; F.R. McMorris; Fred S. Roberts πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 892 KB
On the double competition number
✍ ZoltΓ‘n FΓΌredi πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 308 KB

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.

Competition numbers of graphs with a sma
✍ Suh-Ryung Kim; Fred S. Roberts πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 722 KB

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

P≠NC over the p-adic numbers
✍ Michael Maller; Jennifer Whitehead πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 130 KB

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