Group path covering and -labelings of diameter two graphs
β Scribed by Feng Wang; Wensong Lin
- Book ID
- 113663289
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 182 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Given a graph Ξ an abelian group __G__, and a labeling of the vertices of Ξ with elements of __G__, necessary and sufficient conditions are stated for the existence of a labeling of the edges in which the label of each vertex equals the product of the labels of its incident edges. Such
Results regarding the pebbling number of various graphs are presented. We say a graph is of Class 0 if its pebbling number equals the number of its vertices. For diameter d we conjecture that every graph of sufficient connectivity is of Class 0. We verify the conjecture for d = 2 by characterizing t
## Abstract A graph __H__ is __collapsible__ if for every subset X β __V(H), H__ has a spanning connected subgraph whose set of oddβdegree vertices is X. In any graph __G__ there is a unique collection of maximal collapsible subgraphs, and when all of them are contracted, the resulting contraction