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Results tagged with matching-theory
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user 43954
For questions about matchings in graph theory. A matching on a graph is a set of edges such that no two edges share a common vertex.
10
votes
0
answers
620
views
A rainbow perfect matching in an edge-colored graph with spanning color classes
This question is a sequel of my last question and is eventually motivated by recent advances in quantum physics. Given an even number $n\ge 6$ and a positive integer $k<n$, Claim from the linked quest …
- 5,409
3
votes
Accepted
Relationship between minimum vertex cover and matching width
Your suspicion is correct. The following hypergraph $H$ provides a negative answer to your question. Let $V=\{0,1,\dots, 11\}$. Then $V=V_0\cup V_1\cup V_2$, where $V_0=\{0,1,2,3\}$, $V_1=\{4,5,6,7\}$ …
- 5,409