A metric on the set of connected simple graphs of given order
β Scribed by KiranR. Bhutani; Bilal Khan
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 176 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0001-9054
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## Abstract We prove that every connected graph __G__ contains a tree __T__ of maximum degree at most __k__ that either spans __G__ or has order at least __k__Ξ΄(__G__) + 1, where Ξ΄(__G__) is the minimum degree of __G.__ This generalizes and unifies earlier results of Bermond [1] and Win [7]. We als
A dominatin# set for a graph G = (V, E) is a subset of vertices V' c\_ V such that for all v β’ V-V' there exists some uβ’ V' for which {v,u} β’E. The domination number of G is the size of its smallest dominating set(s). For a given graph G with minimum size dominating set D, let mz(G, D) denote the nu