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The bondage number of a graph

✍ Scribed by John Frederick Fink; Michael S. Jacobson; Lael F. Kinch; John Roberts


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
654 KB
Volume
86
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On the bondage number of a graph
✍ Yue-Li Wang πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 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
✍ 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

A counterexample to a conjecture on the
✍ Ulrich Teschner πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 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 discipline number of a graph
✍ V. ChvΓ‘tal; W. Cook πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 481 KB
The hull number of a graph
✍ Martin G Everett; Stephen B Seidman πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 379 KB

A set of points S of a graph is convex if any geodesic joining two points of S lies entirely within S. The convex hull of a set T of points is the smallest convex set that contains T. The hull number (h) of a graph is the cardinality of the smallest set of points whose convex hull is the entire grap

The star chromatic number of a graph
✍ H. L. Abbott; B. Zhou πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 469 KB πŸ‘ 2 views

## Abstract We study a generalization of the notion of the chromatic number of a graph in which the colors assigned to adjacent vertices are required to be, in a certain sense, far apart. Β© 1993 John Wiley & Sons, Inc.