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A sufficient condition guaranteeing large cycles in graphs

โœ Scribed by Ladislav Stacho


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
263 KB
Volume
169
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES


A sufficient condition for all short cyc
โœ Stephan Brandt ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 279 KB

Generalizing a result of HSiggkvist et al. (1981), we prove that every non-bipartite graph of order n with more than (n -1)\*/4 + 1 edges contains cycles of every length between 3 and the length of a longest cycle.

Large cycles in graphs
โœ J.A. Bondy ๐Ÿ“‚ Article ๐Ÿ“… 1971 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 485 KB

Abstrtct. The paper i~ concerned with the existence of cycles of specified length in finite undirected graphs and with the question of how this depends on the numbers of vertit.ยขs and edges ~ ulje graph, In particular, a conjecture ofP. Erdiss that every graph of order n and size at least ](n 2-5n ยข