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A Generalization of Baudet's Conjecture (Van Der Waerden's Theorem)

✍ Scribed by Peter G. Anderson

Book ID
124092029
Publisher
Mathematical Association of America
Year
1976
Tongue
English
Weight
367 KB
Volume
83
Category
Article
ISSN
0002-9890

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πŸ“œ SIMILAR VOLUMES

Elementary proof for a Van der Waerden's
Elementary proof for a Van der Waerden's conjecture and related theorems
✍ B. Gyires πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 606 KB

A well-known conjecture of Van der Waerden says that for the permanent Per A of an n x n doubly stochastic matrix A we have (3.0), with equality if and only if all entries of the matrix A equal to n -1. In 1977 [1], the author proved that if A is an n Γ— n doubly stochastic matrix, and p > 0, q > 0,

Contribution to van der Waerden's conjec
Contribution to van der Waerden's conjecture
✍ B. Gyires πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 261 KB

In this paper, we give two different elementary proofs for the inequality which states that the permanent of doubly stochastic matrices is greater than or equal to (n!/n~). This inequality was proved earlier by the author, and independently by Egorychev and Falikman.