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Incidence matrices for matchings
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Abstract
LetM(n) denote the set of all matchings of the complete graph Kn. Set t =[ ]. For 0 ≤ k < l ≤ t−k ≤ t, letM(k, l) denote the incidence matrix of the cardinality k matchings (the rows) vs. the cardinality l matchings (the columns). We show that M(k, l) has full row rank
Title: Incidence matrices for matchings
Description:
Abstract
LetM(n) denote the set of all matchings of the complete graph Kn.
Set t =[ ].
For 0 ≤ k < l ≤ t−k ≤ t, letM(k, l) denote the incidence matrix of the cardinality k matchings (the rows) vs.
the cardinality l matchings (the columns).
We show that M(k, l) has full row rank.
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