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Displaying similar documents to “Note on the gammoids arising from undirected graphs”

On Path-Pairability in the Cartesian Product of Graphs

Gábor Mészáros (2016)

Discussiones Mathematicae Graph Theory

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We study the inheritance of path-pairability in the Cartesian product of graphs and prove additive and multiplicative inheritance patterns of path-pairability, depending on the number of vertices in the Cartesian product. We present path-pairable graph families that improve the known upper bound on the minimal maximum degree of a path-pairable graph. Further results and open questions about path-pairability are also presented.

Route systems on graphs

Manoj Changat, Henry Martyn Mulder (2001)

Mathematica Bohemica

Similarity:

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.