## 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
Diameter of the conjunction of two finite graphs
β Scribed by Roger H. Lamprey
- Publisher
- John Wiley and Sons
- Year
- 1978
- Tongue
- English
- Weight
- 227 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0364-9024
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π SIMILAR VOLUMES
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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
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We consider the diameter of a random graph G n p for various ranges of p close to the phase transition point for connectivity. For a disconnected graph G, we use the convention that the diameter of G is the maximum diameter of its connected components. We show that almost surely the diameter of rand
## Abstract We generalize the concept of the diameter of a graph __G__ = (__N, A__) to allow for location of points not on the nodes. It is shown that there exists a finite set of candidate points which determine this __generalized diameter.__ Given the matrix of shortest paths, an __o__ (|__A__|^2