An improved upper bound for the bondage number of graphs on surfaces
β Scribed by Jia Huang
- Book ID
- 113567699
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 209 KB
- Volume
- 312
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
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
## 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