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Extremal graphs of diameter 3

Published online by Cambridge University Press:  09 April 2009

L. Caccetta
L. Caccetta
Affiliation:
Department of Mathematics University of WaterlooOntario, N2L 3G1, Canada
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Abstract

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This paper is concerned with graphs of order n and diameter at most 3 having the property that by deleting any s or fewer vertices (edges) the resulting subgraphs (partial graphs) have duameter at most. λ. A graph satisfying the above constraints and having minimum number of edges is said to be extramal. A characterization of extremal graphs is presented for the case s = 1.

Subject classification (Amer. Math. Soc. (MOS) 1970): 05 C 35.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 28 , Issue 1 , August 1979 , pp. 67 - 81
Copyright
Copyright © Australian Mathematical Society 1979

References

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