Work

Ločno disjunktne hamiltonske poti v kartezičnih produktih usmerjenih ciklov

Year: 2025

Type: article

Abstract: We show that if C1 and C2 are directed cycles (of length at least two), then the Cartesian product C1 □ C2 has two arc-disjoint hamiltonian paths. (This answers a question asked by J. A. Gallian in 1985.) The same conclusion also holds for the Cartesian product of any four or more directed cycles (of length at least two), but some cases remain open for the Cartesian product of three directed cycles. We also discuss the existence of arc-disjoint hamiltonian paths in 2-generated Cayley digraphs on (finite or infinite) abelian groups.

Source: Repository of the University of Primorsk (University of Primorska)

Authors: Darijani, Iren, Miraftab, Babak, Morris, Dave Witte

Institutions: Memorial University of Newfoundland, Carleton University

Language: English

Topic: Advanced Graph Theory Research

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: University of Lethbridge, Natural Sciences and Engineering Research Council of Canada

Award: G279537525

OpenAlex ID: W7115362528

FWCI:

Cites:

Cited by:

Related to: