Abstract
A striking result of Bouc gives the decomposition of the representation of the symmetric group on the homology of the matching complex into irreducibles that are self-conjugate. We show how the combinatorial Laplacian can be used to give an elegant proof of this result. We also show that the spectrum of the Laplacian is integral.
Original language | English (US) |
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Pages (from-to) | 1-11 |
Number of pages | 11 |
Journal | Electronic Journal of Combinatorics |
Volume | 9 |
Issue number | 1 R |
DOIs | |
State | Published - 2002 |
ASJC Scopus subject areas
- Theoretical Computer Science
- Geometry and Topology
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics
- Applied Mathematics