Published November 28, 2007
| Version v1
Journal article
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Hamiltonicity of Topological Grid Graphs
Authors/Creators
- 1. City University of New York, New York, United States of America
- 2. Universität Dortmund, Dortmund, Germany
Description
In this paper we study connectivity and hamiltonicity properties of the topological grid graphs, which are a natural type of planar graphs associated with finite subgraphs of the usual square lattice graph of the plane. The main results are as follows. The shortness coefficient of the family of all topological grid graphs is at most 16/17. Every 3-connected topological grid graph is hamiltonian.