Results 1 to 10 of about 102,742 (177)
Avoiding maximal parabolic subgroups of S_k [PDF]
Discrete Mathematics & Theoretical Computer Science, 2000 We find an explicit expression for the generating function of the number of permutations in S_n avoiding a subgroup of S_k generated by all but one simple transpositions.
Toufik Mansour, Alek Vainshtein
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Journal of Combinatorial Theory - Series A, 2000 A Ferrers board \((h_1,\dots, h_n)\) is a board which takes the lower \(h_i\) cells of the \(i\)th column of the \(n\times N\) chessboard where \(0\leq h_1\leq\cdots\leq h_n\). The theory of non-taking rooks on Ferrers boards was first developed by \textit{D. Foata} and \textit{M. P. Schützenberger} [Comb. Theory Appl., Colloq. Math. Soc.
Jay Goldman, James Haglund
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On the Spectra of Simplicial Rook Graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 The $\textit{simplicial rook graph}$ $SR(d,n)$ is the graph whose vertices are the lattice points in the $n$th dilate of the standard simplex in $\mathbb{R}^d$, with two vertices adjacent if they differ in exactly two coordinates.
Jeremy L. Martin, Jennifer D. Wagner
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Elliptic rook and file numbers [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 In this work, we construct elliptic analogues of the rook numbers and file numbers by attaching elliptic weights to the cells in a board. We show that our elliptic rook and file numbers satisfy elliptic extensions of corre- sponding factorization ...
Michael J. Schlosser, Meesue Yoo
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Trace Metal Bioaccumulation in Feral Pigeons (Columba livia f. domestica) and Rooks (Corvus frugilegus) Residing in the Urban Environment of Iasi City, Romania [PDF]
ToxicsNowadays, trace metal contamination within urban atmospheres is a significant and concerning global issue. In the present study, two synanthropic bird species, namely, the feral pigeon (Columba livia f.
Diana Iacob +8 more
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The Diffusion of Blockchain as a General Purpose Technology Driving Digital Transformation
Technology Innovation Management Review, 2022 Digital transformation as a process is integrally linked to the creation and diffusion of a set of general purpose technologies (GPTs) that provide both the motive force, as well as the means, for the transformation of existing industries and the ...
Jason Windawi
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Dispersal of Aphanoascus keratinophilus by the rook Corvus frugilegus during breeding in East Poland
Scientific Reports, 2022 The process of dispersal of the potentially disease-causing, geophilic and keratinolytic fungal strain Aphanoascus keratinophilus (the perfect, sexual stage of Chrysosporium keratinophilum) by the rook Corvus frugilegus was studied.
Ignacy Kitowski +3 more
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Zoodiversity, 2023 Since the 1980s, a significant decline in the number of breeding populations of the Rook, Corvus frugilegus Linnaeus, 1758, has been observed in many European countries. In Ukraine, this trend has been observed since the late 1990s.
A. M. Poluda, V. S. Dupak, A. O. Markova
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Wintering Rooks, Corvus frugilegus (Aves, Corvidae) and Their Helminths in Poltava and Kyiv, Ukraine
Zoodiversity, 2023 Observations of wintering rook populations were carried out from late October till early March in 2020–2021 and 2021–2022 in the cities of Poltava and Kyiv.
O. Greben +3 more
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q-Rook placements and Jordan forms of upper-triangular nilpotent matrices [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 The set of $n$ by $n$ upper-triangular nilpotent matrices with entries in a finite field $F_q$ has Jordan canonical forms indexed by partitions $λ \vdash n$. We study a connection between these matrices and non-attacking q-rook placements, which leads to
Martha Yip
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