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Hoshur, R., Vumar, E. (2012). Hamilton-connected properties in cartesian product. Transactions on Combinatorics, 1(3), 11-19. doi: 10.22108/toc.2012.1871
Rushengul Hoshur; Elkin Vumar. "Hamilton-connected properties in cartesian product". Transactions on Combinatorics, 1, 3, 2012, 11-19. doi: 10.22108/toc.2012.1871
Hoshur, R., Vumar, E. (2012). 'Hamilton-connected properties in cartesian product', Transactions on Combinatorics, 1(3), pp. 11-19. doi: 10.22108/toc.2012.1871
Hoshur, R., Vumar, E. Hamilton-connected properties in cartesian product. Transactions on Combinatorics, 2012; 1(3): 11-19. doi: 10.22108/toc.2012.1871

Hamilton-connected properties in cartesian product

Article 3, Volume 1, Issue 3, September 2012, Page 11-19  XML PDF (445.04 K)
Document Type: Research Paper
DOI: 10.22108/toc.2012.1871
Authors
Rushengul Hoshur; Elkin Vumar email
College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China
Abstract
In this paper‎, ‎we investigate a problem of finding natural condition‎ ‎to assure the product of two graphs to be hamilton-connected‎. ‎We present some‎ ‎sufficient and necessary conditions for $G\Box H$ being hamilton-connected when $G$ is a‎ ‎hamilton-connected graph and $H$ is a tree or $G$ is a hamiltonian‎ ‎graph and $H$ is $K_2$‎.
Keywords
Cartesian product; Hamilton-connectedness; Hamilton cycle; Hamilton path
Main Subjects
05C38 Paths and cycles; 05C45 Eulerian and Hamiltonian graphs
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