4.7 Article

Finding Hamiltonian cycles of truncated rectangular grid graphs in linear time

Journal

APPLIED MATHEMATICS AND COMPUTATION
Volume 436, Issue -, Pages -

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2022.127513

Keywords

Hamiltonian cycle problem; Solid grid graph; Truncated rectangular grid graphs; Linear-time algorithm

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This paper solves the problem for a special class of solid grid graphs, i.e. truncated rectangular grid graphs, in linear time.
The Hamiltonian cycle problem is an important problem in graph theory. For solid grid graphs, an O(n(4))-time algorithm has been given. In this paper, we solve the problem for a special class of solid grid graphs, i.e. truncated rectangular grid graphs, in linear time. (c) 2022 Elsevier Inc. All rights reserved.

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