For a graph G = (V,E) and a vertex v ∈ V , let T(v) be a local trace at v, i.e. T(v) is an Eulerian subgraph of G such that every walk W(v), with start vertex v can be extended to an Eulerian tour in T(v). We prove that every maximum edge-disjoint cycle packing Z* of G induces a maximum trace T(v) at v for every v ∈ V . Moreover, if G is Eulerian then sufficient conditions are given that guarantee that the sets of cycles inducing maximum local traces of G also induce a maximum cycle packing of G.
@article{bwmeta1.element.doi-10_7151_dmgt_1785,
author = {Peter Recht and Eva-Maria Sprengel},
title = {Maximum Cycle Packing in Eulerian Graphs Using Local Traces},
journal = {Discussiones Mathematicae Graph Theory},
volume = {35},
year = {2015},
pages = {121-132},
zbl = {1307.05125},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_7151_dmgt_1785}
}
Peter Recht; Eva-Maria Sprengel. Maximum Cycle Packing in Eulerian Graphs Using Local Traces. Discussiones Mathematicae Graph Theory, Tome 35 (2015) pp. 121-132. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_7151_dmgt_1785/
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