Hamiltonicity of Topological Grid Graphs

: 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. Key Words: grid graph, topological grid graph, hamiltonian graph, shortness coefficient, 3-connectedness Category: G.2.2

• Type: Journal
• Year: 2007
• Where: JUCS
• Authors: Christina Zamfirescu, Tudor Zamfirescu
• Keywords: 3-connected Topological Grid, JUCS 2007, Shortness Coefficient, Topological Grid Graph