Results 41 to 50 of about 3,063 (228)

Bijections and homomorphisms

open access: yesSemigroup Forum, 1984
Conditions on a map \(f:L\to M\) from a lattice L to a lattice M are considered under which f is a homomorphism of lattices in the case when f is a bijection. The main result of the paper is the following Theorem 4. Let L and M be lattices and let f:\(L\to M\) be a bijection.
Johnson, J., Moss, K.
openaire   +2 more sources

Iterating the RSK bijection

open access: yesInvolve, a Journal of Mathematics, 2021
We investigate the dynamics of the well-known RSK bijection on permutations when iterated on various reading words of the recording tableau. In the setting of the ordinary (row) reading word, we show that there is exactly one fixed point per partition shape, and that it is always reached within two steps from any starting permutation.
Jacob Hocevar   +3 more
openaire   +3 more sources

Continuity of the Mackey–Higson bijection [PDF]

open access: yesPacific Journal of Mathematics, 2021
12 pages, to appear in the Pacific Journal of ...
Afgoustidis, Alexandre   +1 more
openaire   +3 more sources

The active bijection for graphs

open access: yesAdvances in Applied Mathematics, 2019
62 pages, 10 figures, many ...
Gioan, Emeric, Las Vergnas, Michel
openaire   +5 more sources

Bijective Proofs of Partition Identities of MacMahon, Andrews, and Subbarao [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2014
We revisit a classic partition theorem due to MacMahon that relates partitions with all parts repeated at least once and partitions with parts congruent to $2,3,4,6 \pmod{6}$, together with a generalization by Andrews and two others by Subbarao.
Shishuo Fu, James Sellers
doaj   +1 more source

On bijections between monotone rooted trees and the comb basis [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2015
Let $A$ be an $n$-element set. Let $\mathscr{L} ie_2(A)$ be the multilinear part of the free Lie algebra on $A$ with a pair of compatible Lie brackets, and $\mathscr{L} ie_2(A, i)$ the subspace of $\mathscr{L} ie_2(A)$ generated by all the monomials in $\
Fu Liu
doaj   +1 more source

Object grammars and bijections

open access: yesTheoretical Computer Science, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jean-Marc Fédou, I. Dutour
openaire   +2 more sources

A further correspondence between $(bc,\bar{b})$-parking functions and $(bc,\bar{b})$-forests [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2009
For a fixed sequence of $n$ positive integers $(a,\bar{b}) := (a, b, b,\ldots, b)$, an $(a,\bar{b})$-parking function of length $n$ is a sequence $(p_1, p_2, \ldots, p_n)$ of positive integers whose nondecreasing rearrangement $q_1 \leq q_2 \leq \cdots ...
Heesung Shin, Jiang Zeng
doaj   +1 more source

Arc-Coloured Permutations [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2013
The equidistribution of many crossing and nesting statistics exists in several combinatorial objects like matchings, set partitions, permutations, and embedded labelled graphs.
Lily Yen
doaj   +1 more source

A bijection between permutations and a subclass of TSSCPPs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2013
We define a subclass of totally symmetric self-complementary plane partitions (TSSCPPs) which we show is in direct bijection with permutation matrices. This bijection maps the inversion number of the permutation, the position of the 1 in the last column,
Jessica Striker
doaj   +1 more source

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