Bipartizing matchings and Sabidussi's compatibility conjecture (Q1349078)
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scientific article; zbMATH DE number 1743013
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bipartizing matchings and Sabidussi's compatibility conjecture |
scientific article; zbMATH DE number 1743013 |
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Bipartizing matchings and Sabidussi's compatibility conjecture (English)
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21 May 2002
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In a cubic graph \(G\), with dominating cycle \(C\), a matching \(M\) is called bipartizing if \(M \cap E(C) = \emptyset\), \(M\) covers all of \(V(G)-V(C)\), and \(G-M\) is homeomorphic to a cubic bipartite graph. The author shows that if \(G\) has two disjoint bipartizing matchings, then \(G\) has a cycle double cover \(S\) with \(C \in S\).
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cycle double cover
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compatible
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Eulerian graph
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