Minimally k-connected graphs of low order and maximal size
β Scribed by Cai Mao-cheng
- Book ID
- 107748386
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 563 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
A triangle-free graph is maximal if the addition of any edge creates a triangle. For n ~> 5, we show there is an n-node m-edge maximal triangle-free graph if and only if it is complete bipartite or 2n-5<<.m<<.L(n-1)2/4J+l. A diameter 2 graph is minimal if the deletion of any edge increases the diame
## Abstract Let __cl__(__G__) denote RyjΓ‘Δek's closure of a clawβfree graph __G__. In this article, we prove the following result. Let __G__ be a 4βconnected clawβfree graph. Assume that __G__[__N__~__G__~(__T__)] is cyclically 3βconnected if __T__ is a maximal __K__~3~ in __G__ which is also maxim