𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Bounds on the signed domination number of a graph

✍ Scribed by Ruth Haas; Thomas B. Wexler

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
387 KB
Volume
11
Category
Article
ISSN
1571-0653

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Bounds on the -domination number of a gr
Bounds on the -domination number of a graph
✍ Ermelinda DeLaViΓ±a; Wayne Goddard; Michael A. Henning; Ryan Pepper; Emil R. Vaug πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 200 KB

The k-domination number of a graph is the cardinality of a smallest set of vertices such that every vertex not in the set is adjacent to at least k vertices of the set. We prove two bounds on the k-domination number of a graph, inspired by two conjectures of the computer program Graffiti.pc. In part

On the r-domination number of a graph
On the r-domination number of a graph
✍ Jerrold R. Griggs; Joan P. Hutchinson πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 468 KB

For r > 0, let the r-domination number of a graph, d,, be the size of a smallest set of vertices such that every vertex of the graph is within distance r of a vertex in that set. This paper contains proofs that every graph with a spanning tree with at least n/2 leaves has d, s n/(2r); this compares

Upper bounds on the paired-domination nu
Upper bounds on the paired-domination number
✍ Xue-gang Chen; Wai Chee Shiu; Wai Hong Chan πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 199 KB

A set S of vertices in a graph G is a paired-dominating set of G if every vertex of G is adjacent to some vertex in S and the subgraph induced by S contains a perfect matching. The minimum cardinality of a paired-dominating set of G is the paireddomination number of G, denoted by Ξ³ pr (G). In this w

Some upper bounds for the product of the
Some upper bounds for the product of the domination number and the chromatic number of a graph
✍ Jerzy Topp; Lutz Volkmann πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 199 KB

Topp, J. and L. Volkmann, Some upper bounds for the product of the domination number and the chromatic number of a graph, Discrete Mathematics 118 (1993) 2899292. Some new upper bounds for yx are proved, where y is the domination number and x is the chromatic number of a graph. All graphs consider

Bounds on the bondage number of a graph
Bounds on the bondage number of a graph
✍ Bert L. Hartnell; Douglas F. Rall πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 317 KB

The bondage number b(G) of a graph G is the minimum cardinality of a set of edges of G whose removal from G results in a graph with domination number larger than that of G. Several new sharp upper bounds for b(G) are established. In addition, we present an infinite class of graphs each of whose bond