Upper minus total domination in small-degree regular graphs
β Scribed by Hong Yan; Xiaoqi Yang; Erfang Shan
- Book ID
- 108113756
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 266 KB
- Volume
- 307
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
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## Abstract A __balloon__ in a graph __G__ is a maximal 2βedgeβconnected subgraph incident to exactly one cutβedge of __G__. Let __b__(__G__) be the number of balloons, let __c__(__G__) be the number of cutβedges, and let Ξ±β²(__G__) be the maximum size of a matching. Let \documentclass{article}\usep
## Abstract A set __S__ of vertices in a graph __G__ is a total dominating set of __G__ if every vertex of __G__ is adjacent to some vertex in __S__ (other than itself). The maximum cardinality of a minimal total dominating set of __G__ is the upper total domination number of __G__, denoted by Ξ~__