Let n and k be positive integers satisfying k + 1 s n s 3k -1, and G a simple graph of order n and size e(G) with at most k edge-disjoint paths connecting any two adjacent vertices. In this paper we prove that e(G) s l(n + k)\*/8], and give complete characterizations of the extremal graphs and the e
✦ LIBER ✦
On graphs with at most four line-disjoint paths connecting any two vertices
✍ Scribed by John L Leonard
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 507 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0095-8956
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## Abstract Let __ex__~2~(__n, K__) be the maximum number of edges in a 2‐colorable __K__‐free 3‐graph (where __K__={123, 124, 134} ). The 2‐chromatic Turán density of __K__ is \documentclass{article}\footskip=0pc\pagestyle{empty}\begin{document}$\pi\_{2}({K}\_{4}^-) =lim\_{{n}\to \infty} {ex}\_{2}