Burosch, G., I. Have1 and J.-M. Laborde, Distance monotone graphs and a new characterization of hypercubes, Discrete Mathematics 110 (1992) 9-16.
Edge-colourings characterizing a class of Cayley graphs and a new characterization of hypercubes
β Scribed by Marco Buratti
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 244 KB
- Volume
- 161
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A graph is Hilbertian if for any three vertices u, v and w, the interval I(u, u) contains a unique nearest vertex p from w. We show that a graph is median if and only if it is Hilbertian.
One of the first characterizations of interval graphs, given by Lekkerkerker and Boland (1962), uses the concept of an asteroidal triple. In this paper we give a similar characterization on the proper interval graphs using the akin concept of an astral triple.
We give a characterization of a hierarchy of graph classes with no long holes in which each class excludes some long antiholes. At one end of the hierarchy is the class of graphs with no long holes. At the other end is the class of weakly triangulated graphs. The characterization has the flavor of t
## Abstract Let __m__ and __n__ be nonnegative integers. Denote by __P__(__m,n__) the set of all triangleβfree graphs __G__ such that for any independent __m__βsubset __M__ and any __n__βsubset __N__ of __V__(__G__) with __M__ β© __N__ = Γ, there exists a unique vertex of __G__ that is adjacent to e