๐”– Bobbio Scriptorium
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New results about the bondage number of a graph

โœ Scribed by Ulrich Teschner


Book ID
108316039
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
502 KB
Volume
171
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES


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 bondage number of a graph
โœ Yue-Li Wang ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 162 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 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).

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.