The Holens-Đoković conjecture on permanents fails!

DOI10.1016/S0024-3795(98)10177-5zbMath0941.15003OpenAlexW2016026456WikidataQ122947478 ScholiaQ122947478MaRDI QIDQ1301285

Ian M. Wanless

Publication date: 17 February 2000

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(98)10177-5

zbMATH Keywords

permanentdoubly stochastic matrixsubpermanentvan der Waerden's conjectureDokovićian matrixDokovićian polynomialgraph theoretic approachHolens-Doković conjectureTverberg's conjecture

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Stochastic matrices (15B51)

Related Items (6)

Some Conjectures on Permanents of Doubly Stochastic Matrices ⋮ An interpretation of the Dittert conjecture in terms of semi-matchings ⋮ Matchings in vertex-transitive bipartite graphs ⋮ An update on Minc's survey of open problems involving permanents ⋮ A positivity property of the dimer entropy of graphs ⋮ Counting Matchings and Tree-Like Walks in Regular Graphs

Cites Work

• Unnamed Item
• Unnamed Item
• On a conjecture by D. Z. Dokovic
• Monotonicity of permanents of certain doubly stochastic circulant matrices
• Monotonicity of permanents of certain doubly stochastic matrices
• Hermite polynomials and a duality relation for matchings polynomials
• On permanents and the zeros of rook polynomials
• Theory of monomer-dimer systems
• On the convex combinations of matrices and the sum of subpermanents
• Monotonicity Conjecture on Permanents of Doubly Stochastic Matrices
• Monotonicity of permanents of direct sums of doubly stochastic matrices
• Monotonicity of permanents of doubly stochastic matrices
• On some permanental conjectures
• Theory of permanents 1978–1981
• Permanents
• Asymptotic enumeration of Latin rectangles

This page was built for publication: The Holens-Đoković conjecture on permanents fails!