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all records (13)

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141  Articles
1 of 15 pages  |  10  records  |  more records»
Pipe dreams and bumpless pipe dreams for vexillary permutations are each known to be in bijection with certain semistandard tableaux via maps due to Lenart and Weigandt, respectively. Recently, Gao and Huang have defined a bijection between the former two... see more

A di-sk tree is a rooted binary tree whose nodes are labeled by ?\oplus or ?\ominus, and no node has the same label as its right child. The di-sk trees are in natural bijection with separable permutations. We construct a combinatorial bijection on di-sk t... see more

This paper solves an open question of Mortimer and Prellberg asking for an explicit bijection between two families of walks. The first family is formed by what we name triangular walks, which are two-dimensional walks moving in six directions (0°, 60°, 12... see more

This paper solves an open question of Mortimer and Prellberg asking for an explicit bijection between two families of walks. The first family is formed by what we name triangular walks, which are two-dimensional walks moving in six directions (0°, 60°, 12... see more

We present a bijection between permutation matrices and descending plane partitions without special parts, which respects two of the statistics considered by Mills, Robbins and Rumsey, and an additional statistic  considered by Behrend, Di ... see more

We unify and extend previous bijections on plane quadrangulations to bipartite and quasibipartite plane maps. Starting from a bipartite plane map with a distinguished edge and two distinguished corners (in the same face or in two different faces), we buil... see more

We consider bicolored maps, i.e. graphs which are drawn on surfaces, and construct a bijection between (i) oriented maps with arbitary face structure, and (ii) (weighted) non-oriented maps with exactly one face. Above, each non-oriented map is counted wit... see more

The Hecke algebra of the pair (S2n,Bn)(\mathcal{S}_{2n},\mathcal{B}_n), where Bn\mathcal{B}_n is the hyperoctahedral subgroup of S2n\mathcal{S}_{2n}, was introduced by James in 1961. It is a natural analogue of the center of the symmetric group algebra. I... see more

A G-supermagic labeling of a graph G=(V,E) is a bijection from E to a group G of order |E| such that the sum of labels of all edges incident with any vertex x? V is equal to the same element µ ? G. A Z2mn-supermagic labeling of the Cartesian product of tw... see more

1 of 15 pages  |  10  records  |  more records»