07-04

Complexity of the Hamiltonian Cycle Problem in Triangular Grid Graphs

by Gordon, V.S.; Orlovich, Y.L.; Werner, F.

 

Preprint series: 07-04, Preprints

The paper is published: Discrete Mathematics, Vol. 308, No. 24, 2008, 6166 - 6188 as a part of the paper with the title `Hamiltonian properties of triangular grid graphs\'.

MSC:
05C38 Paths and cycles, See also {90B10}
05C45 Eulerian and Hamiltonian graphs
68Q25 Analysis of algorithms and problem complexity

 

Abstract: A triangular grid graph is a finite induced subgraph of the infinite graph associated with the two-dimensional triangular grid. We show that the problem Hamiltonian Cycle is NP-complete for triangular grid graphs, while a hamiltonian cycle in a connected, locally connected triangular grid graph can be found in polynomial time.

Keywords: Hamiltonian cyle problem, Triangular grid graphs, Complexity


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Letzte Änderung: 01.03.2018 - Ansprechpartner:

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