Incidence matrices for matchings

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

Bibliographic Details
Main Author: Srinivasan Murali K.
Format: Article
Language:English
Published: De Gruyter 2018-07-01
Series:Special Matrices
Subjects:
Online Access:https://doi.org/10.1515/spma-2018-0024