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ONTHEBRUALDI-LIUCONJECTUREFORTHEEVENPERMANENT ELA

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ELA

ON THE BRUALDI-LIU CONJECTURE FOR THE EVEN PERMANENT

IAN M. WANLESS

Abstract. Counterexamples are given to Brualdi and Liu’s conjectured even permanent ana- logue of the van der Waerden-Egorychev-Falikman Theorem.

Key words. Even permanent, Doubly stochastic, Permutation matrix.

AMS subject classifications.15A15.

Received by the editors 1 January 2007. Accepted for publication 5 June 2008. Handling Editor:

Richard A. Brualdi.

School of Mathematical Sciences, Monash University, Vic 3800 Australia ([email protected]). Research supported by ARC grant DP0662946.

Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume 17, pp. 284-286, June 2008

http://math.technion.ac.il/iic/ela

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