Geodesic
Route systems on graphs
Mathematica Bohemica, Tome 126 (2001) no. 3, pp. 607-612.

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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.
DOI : 10.21136/MB.2001.134203
Classification : 05C12, 05C38
Keywords: trail; route system; path 
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Changat, Manoj; Mulder, Henry Martyn. Route systems on graphs. Mathematica Bohemica, Tome 126 (2001) no. 3, pp. 607-612. doi : 10.21136/MB.2001.134203. http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.134203/

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