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On the monotone hook hafnian conjecture

Abstract : We investigate a conjecture of Haglund that asserts that certain graph polynomials have only real roots. We prove a multivariate generalization of this conjecture for the special case of threshold graphs.
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Mirkó Visontai. On the monotone hook hafnian conjecture. 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.927-934. ⟨hal-01215063⟩

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