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On the bondage number of a graph

โœ Scribed by Yue-Li Wang


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
162 KB
Volume
159
Category
Article
ISSN
0012-365X

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โœฆ Synopsis


The bondage number b(G) of a graph G is the minimum cardinality of a set of edges of G whose removal from G makes the domination number of G increase. There are several papers discussed the upper bound of b(G). In this paper, we shall give an improved upper bound of b(G).


๐Ÿ“œ SIMILAR VOLUMES


Bounds on the bondage number of a graph
โœ Bert L. Hartnell; Douglas F. Rall ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

A counterexample to a conjecture on the
โœ Ulrich Teschner ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 113 KB

The bondage number h(G) of a nonempty graph G was first introduced by Fink, Jacobson, Kinch and Roberts in [3]. They generalized a former approach to domination-critical graphs, In their publication they conjectured that b(G)<d(G)+ 1 for any nonempty graph G.

The bondage number of a graph
โœ John Frederick Fink; Michael S. Jacobson; Lael F. Kinch; John Roberts ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 654 KB
On the geodetic number of a graph
โœ Gary Chartrand; Frank Harary; Ping Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 308 KB
On the Cop Number of a Graph
โœ A. Berarducci; B. Intrigila ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 608 KB
On the separation number of a graph
โœ Zevi Miller; Dan Pritikin ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 781 KB

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,