Intertwining connectivities for vertex-minors and pivot-minors
| Autor: | Lee, Duksang, Oum, Sang-il |
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| Rok vydání: | 2021 |
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| Zdroj: | SIAM J. Discrete Math., 37(1):304-314, March 2023 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1137/22M1485073 |
| Popis: | We show that for pairs $(Q,R)$ and $(S,T)$ of disjoint subsets of vertices of a graph $G$, if $G$ is sufficiently large, then there exists a vertex $v$ in $V(G)-(Q\cup R\cup S\cup T)$ such that there are two ways to reduce $G$ by a vertex-minor operation that removes $v$ while preserving the connectivity between $Q$ and $R$ and the connectivity between $S$ and $T$. Our theorem implies an analogous theorem of Chen and Whittle (2014) for matroids restricted to binary matroids. Comment: 10 pages |
| Databáze: | arXiv |
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