Classification of path-recursive graphs
β Scribed by Melody K. Panttaja
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 73 KB
- Volume
- 295
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
The concept of a line graph is generalized to that of a path graph. The path graph f,(G) of a graph G is obtained by representing the paths Pk in G by vertices and joining two vertices whenever the corresponding paths f k in G form a path f k + , or a cycle C,. f,-graphs are characterized and invest
## Abstract Results of LovΓ‘sz (1972) and Padberg (1974) imply that partitionable graphs contain all the potential counterexamples to Berge's famous Strong Perfect Graph Conjecture. A recursive method of generating partitionable graphs was suggested by ChvΓ‘tal, Graham, Perold, and Whitesides (1979).
In this paper, we study the existence of cycles of all lengths in the recursive circulant graphs, and we show a necessary and sufficient condition for the graph being pancyclic and bipancyclic.
## Abstract The Hamiltonian path graph __H(G)__ of a graph __G__ is that graph having the same vertex set as __G__ and in which two vertices __u__ and __v__ are adjacent if and only if __G__ contains a Hamiltonian __uβv__ path. A characterization of Hamiltonian graphs isomorphic to their Hamiltonia