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Non-hamiltonian bicubic graphs

✍ Scribed by John P Georges


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
192 KB
Volume
46
Category
Article
ISSN
0095-8956

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By a theorem of the toughness t(G) of a non-hamiitonian maximal planar graph G is less than or equal to 2. Improving a result of , it is shown that the shortness exponent of the class of maximal planar graphs with toughness greater than or equal to ~ is less than 1.

On the 2-factors of bicubic graphs
✍ W.T. Tutte πŸ“‚ Article πŸ“… 1971 πŸ› Elsevier Science 🌐 English βš– 291 KB

A cubt~ g~aph of 2n vet "th:es and Po components has n + PO linearly independent 2-fact(~ Thus each cycle of the graph can b: expressed as a rood 2 sum of 2-factogs. Only fini~ f~phs are conside~d. The number of vertices of a trivalent graph must be even. If we write it as ~ then the number of edge