Minimum graphs with complete k-closure
β Scribed by L. Clark; R.C. Entringer; D.E. Jackson
- Book ID
- 107748334
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 662 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
We consider in this paper graphs which remain hamiltonian after the removal of k edges (k-edge hamiltonian) or k vertices (k-hamiltonian). These classes of graphs arise from reliability considerations in network design. In a previous paper, W. W. Wong and C. K. Wong presented families of minimum k-h
## Abstract We define the complete closure number cc(__G__) of a graph __G__ of order __n__ as the greatest integer __k__ β€ __2n__ β __3__ such that the __k__th BondyβChvΓ‘tal closure Cl~__k__~(__G__) is complete, and give some necessary or sufficient conditions for a graph to have cc(__G__) = __k__