Route systems and bipartite graphs
Ladislav Nebeský (1991)
Czechoslovak Mathematical Journal
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Ladislav Nebeský (1991)
Czechoslovak Mathematical Journal
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Manoj Changat, Henry Martyn Mulder (2001)
Mathematica Bohemica
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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.
Witold Lipski, Wiktor Marek (1977)
Banach Center Publications
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Brandes, Ulrik, Kääb, Vanessa, Löh, Andres, Wagner, Dorothea, Willhalm, Thomas (2000)
Journal of Graph Algorithms and Applications
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Frank Göring (2002)
Discussiones Mathematicae Graph Theory
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A short proof of the classical theorem of Menger concerning the number of disjoint AB-paths of a finite graph for two subsets A and B of its vertex set is given. The main idea of the proof is to contract an edge of the graph.