## Abstract A graph __G__ is 3βdomination critical if its domination number Ξ³ is 3 and the addition of any edge decreases Ξ³ by 1. Let __G__ be a 3βconnected 3βdomination critical graph of order __n__. In this paper, we show that there is a path of length at least __n__β2 between any two distinct ve
The codiameter of a 2-connected graph
β Scribed by Pei Wang; Xuezheng Lv
- Book ID
- 108113792
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 193 KB
- Volume
- 308
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
Given a connected graph G, denote by V the family of all the spanning trees of G. Define an adjacency relation in V as follows: the spanning trees t and t$ are said to be adjacent if for some vertex u # V, t&u is connected and coincides with t$&u. The resultant graph G is called the leaf graph of G.
Let G be a 2-edge connected graph with a t least 5 vertices. For any given vertices a, b, c, and din G with a # b, there exists in G3 a hamiltonian path with endpoints a and b avoiding the edge cd, and there exists in G3 U {cd} a hamiltonian path with endpoints a and b and containing the edge cd. Al