IdentityMatchingEdgeCount on PerfectMatching
Pairs {2k - 1, 2k}: the edges shared with the matching 12, 34, 56, ....
FindStat's St001997. The identity matching is 12, 34, 56, ....
Called as CombinatorialStat(x, "IdentityMatchingEdgeCount"). The head's page has its examples.
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FindStat St001997
The number of edges in common with the identity matching.
| Object | Value |
|---|---|
[(1,2)] | 1 |
[(1,2),(3,4)] | 2 |
[(1,3),(2,4)] | 0 |
[(1,4),(2,3)] | 0 |
[(1,2),(3,4),(5,6)] | 3 |
[(1,2),(3,5),(4,6)] | 1 |
[(1,2),(3,6),(4,5)] | 1 |
[(1,3),(2,4),(5,6)] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001997 has the rest.