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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 decomposition threshold for bipartite graphs with minimum degree one
by
Raphael Yuster
Department of Mathematics - University of Haifa at Oranim, Israel.

Let H be a fixed bipartite graph with minimum degree one. It is shown that If G is any graph with n vertices and minimum degree at least 0.5n(1+on(1)) and e(H) divides e(G), then G can be decomposed into e(G)/e(H) edge-disjoint copies of H. The result is asymptotically sharp.

Date received: April 19, 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-43.