Girth of -free extremal graphs
✍ Scribed by E. Abajo; C. Balbuena; A. Diánez
- Book ID
- 113564784
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 267 KB
- Volume
- 160
- Category
- Article
- ISSN
- 0166-218X
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📜 SIMILAR VOLUMES
The odd girth of a graph \(G\) gives the length of a shortest odd cycle in \(G\). Let \(f(k, g)\) denote the smallest \(n\) such that there exists a \(k\)-regular graph of order \(n\) and odd girth \(g\). It is known that \(f(k, g) \geqslant k g / 2\) and that \(f(k, g)=k g / 2\) if \(k\) is even. T
Let n ≥ 3 be a positive integer, and let G be a simple graph of order v containing no cycles of length smaller than n + 1 and having the greatest possible number of edges (an extremal graph). Does G contain an n + 1-cycle? In this paper we establish some properties of extremal graphs and present sev