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Unavoidable Configurations in Complete Topological Graphs

✍ Scribed by János Pach; József Solymosi; Géza Tóth


Publisher
Springer
Year
2003
Tongue
English
Weight
132 KB
Volume
30
Category
Article
ISSN
0179-5376

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Unavoidable cycle lengths in graphs
✍ Jacques Verstraete 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 160 KB

## Abstract An old conjecture of Erdős states that there exists an absolute constant __c__ and a set __S__ of density zero such that every graph of average degree at least __c__ contains a cycle of length in __S__. In this paper, we prove this conjecture by showing that every graph of average degre