Alternating sign property of the perfect matching derangement graph

It was conjectured in the monograph [9] by Godsil and Meagher and in the article [10] by Lindzey that the perfect matching derangement graph M2n possesses the alternating sign property, that is, for any integer partition λ=(λ1,…,λr)⊢n, the sign of the eigenvalue ηλ of M2n is given by sign(ηλ)=(−1)n−...

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Bibliographic Details
Main Authors: Koh, Samuel Zhi Kang, Ku, Cheng Yeaw, Wong, Kok Bin
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2023
Subjects:
Online Access:https://hdl.handle.net/10356/164642
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Institution: Nanyang Technological University
Language: English