We consider the following graph labeling problem, introduced by Leung et al. (3. Y-T. Leung, 0. Vornberger, and J. D. Witthoff, On some variants of the bandwidth minimization problem. SIAM J. Comput. 13 (1984) 650-667). Let G be a graph of order n, and f a bijection from the separation number of G,
The vertex separation number of a graph equals its path-width
β Scribed by Nancy G. Kinnersley
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 497 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract The path number of a graph __G__, denoted __p(G)__, is the minimum number of edgeβdisjoint paths covering the edges of __G.__ LovΓ‘sz has proved that if __G__ has __u__ odd vertices and __g__ even vertices, then __p(G)__ β€ 1/2 __u__ + __g__ β 1 β€ __n__ β 1, where __n__ is the total numbe
It is proved in this note that the Grundy number, r(G), and the ochromatic number, xo(G), are the same for any graph G. An n-coloring of a graph G = ( V , E ) is a f u n c t i o n f f r o m V onto N = { I , 2 , . . . , n } such that, whenever vertices id and u are adjacent, then f ( u ) f f(u). An
Let f (v, e, Ξ») denote the maximum number of proper vertex colorings of a graph with v vertices and e edges in Ξ» colors. In this paper we present some new upper bounds for f (v, e, Ξ»). In particular, a new notion of pseudoproper colorings of a graph is given, which allows us to significantly improve
## Abstract For a graphb __F__ without isolated vertices, let __M__(__F__; __n__) denote the minimum number of monochromatic copies of __F__ in any 2βcoloring of the edges of __K__~__n__~. Burr and Rosta conjectured that when __F__ has order __t__, size __u__, and __a__ automorphisms. Independent