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On Generalizations of Matching-covered Graphs

✍ Scribed by Zoltán Szigeti


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
184 KB
Volume
22
Category
Article
ISSN
0195-6698

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Matching Covered Graphs and Subdivisions
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## Abstract In graph theory, the related problems of deciding when a set of vertices or a set of edges constitutes a maximum matching or a minimum covering have been extensively studied. In this paper we generalize these ideas by defining total matchings and total coverings, and show that these set

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## Abstract In this paper, we focus our attention on join‐covered graphs, that is, ±1‐weighted graphs, without negative circuits, in which every edge lies in a zero‐weight circuit. Join covered graphs are a natural generalization of matching‐covered graphs. Many important properties of matching cov