The maximum number of equal non-zero subdeterminants
โ Scribed by Marvin Marcus; Henryk Minc
- Book ID
- 112501801
- Publisher
- Springer
- Year
- 1960
- Tongue
- English
- Weight
- 252 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let A : (aij) be an m x n matrix. There is a natural way to associate a poset PA with A. Let xt,... ,xm and Yl,... ,Yn be disjoint sets of m and n elements, respectively, and define x~ < y/if and only if aij ยข 0. A jump in a linear extension of PA iS a pair of consecutive elements which are incompar
for every I \_C E with #I = i. In this note, we show that a map f is well-layered if and only if for every I C J C E with #(J\I) ~ 3 and with f(I) โข -oo or I = 0 and for every a E J\I, there exists some b E J\(I U {a}) with f(I U {a}) -F f(g\{a}) <\_ f(I U {b}) + f(Z\{b}), and if in addition f(I) =