Geodesic
Combinatorial Laplacian of the matching complex
The electronic journal of combinatorics, Tome 9 (2002)
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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.
DOI : 10.37236/1634
Classification : 05E10, 05E05, 20C30, 55U10
Mots-clés : representation of the symmetric group, matching complex, combinatorial Laplacian 
@article{10_37236_1634,
     author = {Xun Dong and Michelle L. Wachs},
     title = {Combinatorial {Laplacian} of the matching complex},
     journal = {The electronic journal of combinatorics},
     year = {2002},
     volume = {9},
     doi = {10.37236/1634},
     zbl = {0985.05052},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1634/}
}
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%A Xun Dong
%A Michelle L. Wachs
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Xun Dong; Michelle L. Wachs. Combinatorial Laplacian of the matching complex. The electronic journal of combinatorics, Tome 9 (2002). doi: 10.37236/1634

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