HAMILTONICITY OF CERTAIN CARTESIAN PRODUCTS OF GRAPHS

Authors

  • Tjaša Paj Erker University of Maribor, FME

Keywords:

Hamiltonicity, Cartesian product, path factor

Abstract

A graph is Hamiltonian if it contains a spanning cycle. In this paper, we examine the hamiltonicity of the Cartesian product of a tree with a path. We offer sufficient conditions for the Cartesian product of a tree with a path to be Hamiltonian.

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References

V. Batagelj, T. Pisanski: Hamiltonian cycle in the cartesian product of a tree and a cycle, Discrete Math. 38, 311 – 312, 1982

R. Čada, E. Flandrin, H. Li: Hamiltonicity and pancyclicity of cartesian products of graphs, Discrete Math. 309, 6337 – 6343, 1987

V. Dimakopoulos, L. Palios, A. S. Poulakidas: On the Hamiltonicity of the Cartesian product, Inform. Process. Lett. 96, 49 – 53, 2005

L. Kao, C. Weng: The Relation Between Hamiltonian and 1-Tough Properties of the Cartesian Product Graphs, Graphs Comb., 2020

M. Rosenfeld, D. Barnette: Hamiltonian circuits in certain prisms, Discrete Math. 5, 389394, 1973

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Published

10.08.2023

Issue

Section

Articles

How to Cite

Paj Erker, T. (2023). HAMILTONICITY OF CERTAIN CARTESIAN PRODUCTS OF GRAPHS. Journal of Energy Technology, 15(1). https://journals.um.si/index.php/jet/article/view/3038