A graph is called weakly triangulated if it contains no chordless cycle on five or more vertices (also called hole) and no complement of such a cycle (also called antihole). Equivalently, we can define weakly triangulated graphs as antihole-free graphs whose induced cycles are isomorphic either to C
Graphs with a Cycle of Length Divisible by Three
β Scribed by G.T. Chen; A. Saito
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 468 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper, we will prove that every graph (G) with minimum degree (\delta(G) \geqslant 3) contains a cycle of length divisible by three. This was conjectured to be true by Barefoot, Clark, Douthett, and Entringer. 11994 Academic Press, Inc.
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