1-factor Covers of Regular Graphs
نویسندگان
چکیده
We consider minimal 1-factor covers of regular multigraphs, focusing on those that are 1-factorizations. In particular, we classify cubic graphs such that every minimal 1-factor cover is also a 1-factorization, and also classify simple regular bipartite graphs with this property. For r > 3, we show that there are finitely many simple r-regular graphs such that every minimal 1-factor cover is also a 1-factorization.
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ورودعنوان ژورنال:
- Discrete Applied Mathematics
دوره 159 شماره
صفحات -
تاریخ انتشار 2011