Monotonicity of permanents of doubly stochastic matrices

DOI10.1080/03081087808817241zbMath0408.15016OpenAlexW2089880012MaRDI QIDQ4195080

Henryk Minc, Shmuel Friedland

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1080/03081087808817241

zbMATH Keywords

Monotonicity of Permanents of Doubly Stochastic Matrices

Mathematics Subject Classification ID

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

Related Items

The monotonicity of and the Đoković conjectures on permanents of doubly stochastic matrices ⋮ On the Monotonicity of the Permanent ⋮ Monotonicity Conjecture on Permanents of Doubly Stochastic Matrices ⋮ Monotonicity of permanents of direct sums of doubly stochastic matrices ⋮ On a conjecture by D. Z. Dokovic ⋮ Monotonicity of permanents of certain doubly stochastic circulant matrices ⋮ Permanents of convex combinations of doubly stochastic matrices ⋮ The monotonicity of the permanent function ⋮ Basic Soules matrices and their applications ⋮ The permanent of a class of matrices associated with a finite group ⋮ Notes on permanents of doubly stochastic matrices ⋮ An update on Minc's survey of open problems involving permanents ⋮ Concerning the question of monotonicity of the permanent on the doubly stochastic matrices^† ⋮ On a conjecture of R. F. Scott (1881) ⋮ Combinatorial analysis. (Matrix problems, choice theory) ⋮ Tree and forest weights and their application to nonuniform random graphs ⋮ The Holens-Đoković conjecture on permanents fails!

Cites Work

• Growth transformations for functions on manifolds
• On the minimum of the permanent of a doubly stochastic matrix
• Permanents