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Title: Route systems on graphs (English)
Author: Changat, Manoj
Author: Mulder, Henry Martyn
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 126
Issue: 3
Year: 2001
Pages: 607-612
Summary lang: English
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Category: math
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Summary: The well known types of routes in graphs and directed graphs, such as walks, trails, paths, and induced paths, are characterized using axioms on vertex sequences. Thus non-graphic characterizations of the various types of routes are obtained. (English)
Keyword: trail
Keyword: route system
Keyword: path
MSC: 05C12
MSC: 05C38
idZBL: Zbl 0977.05069
idMR: MR1970263
DOI: 10.21136/MB.2001.134203
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Date available: 2009-09-24T21:54:52Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/134203
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Reference: [1] L. Nebeský: Route systems and bipartite graphs.Czechoslovak Math. J. 41 (1991), 260–264. MR 1105440
Reference: [2] L. Nebeský: Route systems of a connected graph.Math. Bohem. 119 (1994), 407–414. MR 1316593
Reference: [3] L. Nebeský: Characterization of the set of all shortest paths in a connected graph.Math. Bohem. 119 (1994), 15–20. MR 1303548
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