Further results on graph equations for line graphs and n-th power graphs
β Scribed by Jin Akiyama; Hiroshi Era; Geoffrey Exoo
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 913 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Abbott, H.L. and M. Katchalski, Further results on snakes in powers of complete graphs, Discrete Mathematics 91 (1991) 111-120. By a snake in a finite graph G is meant a cycle without chords. Denoted by S(G) the length of a longest snake in G. In this paper we obtain a new lower bound for S(G) in t
In earlier work we showed that if G(m, n) is a bipartite graph with no 4-cycles or 6-cycles, and if m<c 1 n 2 and n<c 2 m 2 , then the number of edges e is O((mn) 2Γ3 ). Here we give a more streamlined proof, obtaining some sharp results; for example, if G has minimum degree at least two then e 3 -