Let d k denote the normalized hook immanant corresponding to the partition (k, 1 "-k) of n. P. Heyfron proved the family of immanantal inequalities det A=e71(A) ~<t~2(A)-<< .--.<<d.(A) =perA (1) for all positive semidefinite Hermitian matrices A. Motivated by a conjecture of R. Merris, it was shown
Characteristic inequalities for binary trees
β Scribed by Roberto De Prisc; Giuseppe Persiano
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 562 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0020-0190
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π SIMILAR VOLUMES
For an irreducible character xh of the symmetric group S,#, indexed by the partition A, the immanant function d,, acting on an n X n matrix A = (u,~), is defined as d,(A) = Z:, t s, ,y\*(c~)rI:= la,CCij. Th e associated normalized immanant d, is defined as z\* = d,/x\*(identity) where identity is t
A traditional cost measure for binary search trees is given by weighted path length, which measures the expected cost of a single random search. In this paper, we investigate a generalization, the k-cost, which is suitable for applications involving independent parallel processors each utilizing a c