Open Access
May 2017 Integer Invariants of an Incidence Matrix Related to Rota's Basis Conjecture
Stephanie Bittner, Joshua Ducey, Xuyi Guo, Minah Oh, Adam Zweber
Missouri J. Math. Sci. 29(1): 27-32 (May 2017). DOI: 10.35834/mjms/1488423699

Abstract

We compute the spectrum and Smith normal form of the incidence matrix of disjoint transversals, a combinatorial object closely related to the $n$-dimensional case of Rota's basis conjecture.

Citation

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Stephanie Bittner. Joshua Ducey. Xuyi Guo. Minah Oh. Adam Zweber. "Integer Invariants of an Incidence Matrix Related to Rota's Basis Conjecture." Missouri J. Math. Sci. 29 (1) 27 - 32, May 2017. https://doi.org/10.35834/mjms/1488423699

Information

Published: May 2017
First available in Project Euclid: 2 March 2017

zbMATH: 1368.05019
MathSciNet: MR3619773
Digital Object Identifier: 10.35834/mjms/1488423699

Subjects:
Primary: 05C05

Keywords: Eigenvalues , Incidence matrix , invariant factors , Rota's basis conjecture , Smith normal form , transversals

Rights: Copyright © 2017 Central Missouri State University, Department of Mathematics and Computer Science

Vol.29 • No. 1 • May 2017
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