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The Hyperspace Graph of Connected Subgraphs and C(X)
by
Likin C. Simon Romero
Rochester Institute of Technology
A natural analogous of the concept of hyperpace of sets can be defined in abstract graph theory.
In particular, given a connected graph, a new the graph is defined by the set of all connected subgraphs.
This new graph is called the Hyperspace Graph of Connected Subgraphs. Some relations between between C(X) and such graph are going to be presented.
Date received: January 21, 2006
Copyright © 2006 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 # caqs-09.