Using a variation of Thomassen's admissible triples technique, we give an alternative proof that every strongly 2-arc-connected directed graph with two or more vertices contains a directed cycle that has at least two chords, while at the same time establishing a more general result.
Cycles with a chord are graceful
โ Scribed by C. Delorme; M. Maheo; H. Thuillier; K. M. Koh; H. K. Teo
- Publisher
- John Wiley and Sons
- Year
- 1980
- Tongue
- English
- Weight
- 162 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
โฆ Synopsis
Abstract
In this paper, we prove that every cycle plus a chord is graceful, thus answering a conjecture of R. Bodendiek, H. Schumacher, and H. Wegner.
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