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Horizons in Combinatorics/16th Shanks Lecture Series
May 21-24, 2001
Vanderbilt University
Nashville, TN, USA

Organizers
Paul Edelman, Mark Ellingham, Jonathan Farley, Mike Plummer, Jerry Spinrad

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The maximum number of edges in a diameter 2-critical graph
by
Tiang Poomsa-ard
Khon Kaen University, Khon Kaen, Thailand

A graph is diameter 2-critical if the graph has diameter 2 and the deletion of any edge increases its diameter. We prove that if G is a diameter 2-critical graph on n vertices and e edges, then e <= \lfloor\frac14n2\rfloor.

Date received: April 10, 2001


Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # cags-17.