Results 31 to 40 of about 102,841 (275)
The Rook Monoid is Lexicographically Shellable
, 2019 We prove that the Bruhat-Chevalley-Renner order on the rook monoid is EL-shellable.
Can, Mahir Bilen
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Discrete Mathematics, 1973 AbstractThe level code representation of the simplest ballot problem (weak lead lattice paths from (0, 0) to (n, n) is the set of sequences (b1,…, bn) defined by b1 = 1, bi −1 ≤ bi ≤ i, 2 ≤ i ≤n. Each sequence is monotone non-decreasing, has a specification (c1, c2,…, cn) with ci the number of sequence elements equal to i (hence c1 + c2…+ cn = n), and ...
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Understanding Rook Endgames [PDF]
ICGA Journal, 2017 A discussion and modest extension of the analysis of the Rook Endgame, the subject of 'Understanding Rook Endgames' by Műller and Konoval.
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Biodiversity and Prevalence of Parasites of Rook (Corvus frugilegus) in Iran [PDF]
Iranian Journal of Parasitology, 2007 Background: Rooks are distributed all over Iran and no information is available in the literature on their parasitic infections. Methods: One hundred twenty five rooks were examined at post-mortem for parasitic infections.
A Eslami +4 more
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ZoodiversityBased on regular surveys of the distribution of rookeries and the number of nesting birds of Corvus frugilegus Linnaeus, 1758 carried out in 2002–2020 using the TRIM (TRends & Indices for Monitoring data), the trajectory of change in the rook population ...
O. O. Brezghunova, O. I. Sinna
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Elliptic rook and file numbers [PDF]
, 2016 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.
Schlosser, Michael J., Yoo, Meesue
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Rook theory III. Rook polynomials and the chromatic structure of graphs
Journal of Combinatorial Theory, Series B, 1978 AbstractThis paper studies the relationship between the rook vector of a general board and the chromatic structure of an associated set of graphs. We prove that every rook vector is a chromatic vector. We give algebraic relations between the factorial polynomials of two boards and their union and sum, and the chromatic polynomials of two graphs and ...
Jay R. Goldman +2 more
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Mutant NPM1 in Acute Myeloid Leukemia Initiation and Maintenance
Aging and Cancer, EarlyView.NPM1 mutations drive acute myeloid leukemia by acting as neomorphic transcriptional regulators that cooperate with Menin–MLL and XPO1 to sustain HOX/MEIS1 expression and block differentiation. Targeting these mutant‐specific transcriptional dependencies provides a rational therapeutic strategy for NPM1‐mutated AML.
Yanan Jiang +3 more
wiley +1 more source
Combinatorics of diagrams of permutations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 There are numerous combinatorial objects associated to a Grassmannian permutation $w_λ$ that index cells of the totally nonnegative Grassmannian. We study some of these objects (rook placements, acyclic orientations, various restricted fillings) and ...
Joel Brewster Lewis, Alejandro Morales
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The Brieva-Rook Localization of the Microscopic Nucleon-Nucleus Potential
, 2009 The nonlocality of the microscopic nucleon-nucleus optical potential is commonly localized by the Brieva-Rook approximation. The validity of the localization is tested for the proton+$^{90}$Zr scattering at the incident energies from 65 MeV to 800 MeV ...
Amos K +7 more
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