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Sharp Bounds on the Diameter of a Graph

Published online by Cambridge University Press:  20 November 2018

W. F. Smyth
W. F. Smyth*
Affiliation:
Department of Computer Science & Systems Mcmaster University Hamilton, Ontario, Canada, L8S 4K1
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Abstract

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Let Dn.m, be the diameter of a connected undirected graph on n ≥2 vertices and n - 1 ≤ m ≤ s(n) edges, where s(n) = n(n — l)/2. Then Dn.s(n) = 1, and for ms(n) it is shown that

The bounds on Dn.m, are sharp.

Keywords

Primary 05C35Secondary 68R10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 1 , 01 March 1987 , pp. 72 - 74
Copyright
Copyright © Canadian Mathematical Society 01

References

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