We prove that if G is a connected graph with p vertices and minimum degree greater than max( p/4 -1,3) then G2 is pancyclic. The result is best possible of its kind.
Topological subgraphs of cubic graphs and a theorem of dirac
โ Scribed by Richard Statman
- Publisher
- John Wiley and Sons
- Year
- 1982
- Tongue
- English
- Weight
- 339 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
โฆ Synopsis
Abstract
The topological subgraph relation between cubic graphs is analyzed. The analysis is then applied to generalize a theorem of Dirac.
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