Results 1 to 10 of about 74 (63)

Bijections on m-level Rook Placements [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2014
Partition the rows of a board into sets of $m$ rows called levels. An $m$-level rook placement is a subset of squares of the board with no two in the same column or the same level.
Kenneth Barrese, Bruce Sagan
doaj   +1 more source

Patterns in matchings and rook placements [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2013
Extending the notion of pattern avoidance in permutations, we study matchings and set partitions whose arc diagram representation avoids a given configuration of three arcs.
Jonathan Bloom, Sergi Elizalde
doaj   +1 more source

Modified Growth Diagrams, Permutation Pivots, and the BWX Map $\phi^*$ [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2012
In their paper on Wilf-equivalence for singleton classes, Backelin, West, and Xin introduced a transformation $\phi^*$, defined by an iterative process and operating on (all) full rook placements on Ferrers boards. Bousquet-Mélou and Steingrimsson proved
Jonathan Bloom, Dan Saracino
doaj   +1 more source

Type B (p, q)-Stirling Numbers via Signed Restricted Growth Functions and Rook Theory

open access: yesMathematics
Stirling numbers are among the most classical objects in enumerative combinatorics, counting set partitions and permutations. In this paper, we study their (p,q)-analogues in type B from a rook-theoretic point of view. We introduce a type B Ferrers board
Hasan Arslan   +3 more
doaj   +1 more source

Antidepressants for pain management in adults with chronic pain: a network meta-analysis. [PDF]

open access: yesCochrane Database Syst Rev, 2023
Birkinshaw H   +9 more
europepmc   +1 more source

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