منابع مشابه
Rook Theory and Hypergeometric Series
The number of ways of placing k non-attacking rooks on a Ferrers board is expressed as a hypergeometric series, of a type originally studied by Karlsson and Minton. Known transformation identities for series of this type translate into new theorems about rook polynomials.
متن کاملElliptic Rook and File Numbers
Utilizing elliptic weights, we construct an elliptic analogue of rook numbers for Ferrers boards. Our elliptic rook numbers generalize Garsia and Remmel’s q-rook numbers by two additional independent parameters a and b, and a nome p. The elliptic rook numbers are shown to satisfy an elliptic extension of a factorization theorem which in the classical case was established by Goldman, Joichi and ...
متن کاملBlockage Detection in Pawn Endgames
In this article 4 we introduce a blockage-detection method, which manages to detect a large set of blockage positions in pawn endgames, with practically no additional overhead. By examining different elements of the pawn structure, the method checks whether the Pawns form a blockage which prevents the King from penetrating into the opponent’s camp. It then checks several criteria to find out wh...
متن کاملParasite local adaptation: Red Queen versus Suicide King
Parasites are generally expected to be locally adapted to their hosts, but the basis of this prediction involves two distinct areas of research: coevolutionary studies of infectivity and epidemiological studies of optimal virulence. The distinction between infectivity and virulence is sometimes blurred but is crucial to our understanding of parasite local adaptation. Recent theoretical and empi...
متن کاملRook Theory and t-Cores
If t is a positive integer, then a partition of a non-negative integer n is a t−core if none of the hook numbers of the associated Ferrers-Young diagram is a multiple of t. These partitions arise in the representation theory of finite groups and also in the theory of class numbers. We prove that if t = 2, 3, or 4, then two different t−cores are rook equivalent if and only if they are conjugates...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ICGA Journal
سال: 1992
ISSN: 2468-2438,1389-6911
DOI: 10.3233/icg-1992-15205