Affiliation:
1. School of Mathematics Monash University Melbourne Australia
2. Institute of Theoretical Informatics Karlsruhe Institute of Technology Karlsruhe Germany
Abstract
AbstractA squaregraph is a plane graph in which each internal face is a 4‐cycle and each internal vertex has degree at least 4. This paper proves that every squaregraph is isomorphic to a subgraph of the semistrong product of an outerplanar graph and a path. We generalise this result for infinite squaregraphs, and show that this is best possible in the sense that “outerplanar graph” cannot be replaced by “forest”.
Funder
Australian Research Council
Subject
Geometry and Topology,Discrete Mathematics and Combinatorics
Cited by
3 articles.
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