A characterization of acyclic switching classes using forbidden subgraphs


Authors:J. Hage, T. Harju
Contact:WWW: Theoretical Computer Science
Date:March 2000
Download:http://www.liacs.nl/TechRep/2000/tr00-05.ps.gz

Abstract:
We characterize the switching classes that do not contain an acyclic graph. The characterization is by means of a set of forbidden graphs. We prove that in addition to switches of the cycles Cn for n >= 7 there are only finitely many such graphs. In fact, there are no such graphs with more than 9 vertices. We give a representative of each of the 24 classes.

Submitted to Eur. Jnl. Comb.


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