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2005 Spring Topology and Dynamics Conference
March 17-19, 2005
Berry College
Mount Berry, Georgia, USA

Organizers
Eric McDowell, Todd Timberlake, John Graham

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The hyperspace graph
by
Likin Simon
West Virginia University

An extension of the idea of hyperspace to Graph Theory is defined. Given a connected graph, the hyperspace graph is defined in which its vertices represent all the non-empty connected subgraphs of the original graph.

Some relations between the hyperspace graph and hyperspace of continua of a finite graph will be shown.

Date received: February 28, 2005

Copyright © 2005 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 Conferences Inc. Document # capc-60.