Title of article :
Hamiltonicity of Topological Grid Graphs
Author/Authors :
Zamfirescu, Christina Hunter College and Graduate Center - Department of Computer Science, USA , Zamfirescu, Tudor Universitat Dortmund - Fachbereich Mathematik, Germany
Abstract :
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
Keywords :
3 , connectedness , grid graph , hamiltonian graph , shortness coefficient , topological grid graph
Journal title :
Journal of J.UCS (Journal of Universal Computer Science)
Journal title :
Journal of J.UCS (Journal of Universal Computer Science)
