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The number of 4-cycles in triangle-free oriented graphs

✍ Scribed by Shinsei Tazawa; Chiê Nara; John W. Moon


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
290 KB
Volume
143
Category
Article
ISSN
0012-365X

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The chvátal-erdo˝s condition for cycles
✍ Dingjun Lou 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 235 KB

It is proved that if G is a triangle-free graph with v vertices whose independence number does not exceed its connectivity then G has cycles of every length n for 4: /2 or G is a 5-cyde. This was conjectured by Amar, Fournier and Germa. All graphs considered are finite, undirected and simple. A gra