Given a finite graph G=( V, E), what is the minimum number c(G) of incidence tests which are needed in the worst case to identify an unknown edge e\*EE? The number c(G) was first studied by Aigner and Triesch (1988), where it was shown that for almost all graphs in the random graph model where d(n)
An upper bound for the complexity of transformation semigroups
β Scribed by Stuart W Margolis; Bret Tilson
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 759 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
The distance between two vertices of a polytope is the minimum number of edges in a path joining them. The diameter of a polytope is the greatest distance between two vertices of the polytope. We show that if P is a d-dimensional polytope with n facets, then the diameter of P is at most $ $-3(,r -d
Let G be a simple graph of order n and minimum degree $. The independent domination number i(G) is defined to be the minimum cardinality among all maximal independent sets of vertices of G. In this paper, we show that i(G) n+2$&2 -n$. Thus a conjecture of Favaron is settled in the affirmative.