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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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Vertex-disjoint cycles through specified vertices
by
Tao Jiang
Michigan Technological University
Coauthors: Yoshiyasu Ishigami (University of Electro-Communications, Tokyo, Japan)

Fixing a positive integer k, we give a sharp sufficient condition on minimum degree for a graph G to contain, for any k vertices in G, k vertex-disjoint cycles, each of which contains exactly one of the k specified vertices. This is joint work with Yoshiyasu Ishigami.

Date received: April 18, 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-36.