Results 21 to 30 of about 116,873 (193)
Discrete Mathematics & Theoretical Computer Science, 2012 We present an equivariant bijection between two actions—promotion and rowmotion—on order ideals in certain posets. This bijection simultaneously generalizes a result of R.
Jessica Striker, Nathan Williams
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On the SEL Egyptian fraction expansion for real numbers
AIMS Mathematics, 2022 In the authors' earlier work, the SEL Egyptian fraction expansion for any real number was constructed and characterizations of rational numbers by using such expansion were established.
Mayurachat Janthawee +1 more
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International Electronic Journal of Algebra, 2016 Given a finite acyclic quiver Q with path algebra kQ, Ingalls and Thomas have exhibited a bijection between the set of Morita equivalence classes of support-tilting modules and the set of thick subcategories of mod kQ and they have collected a large number of further bijections with these sets.
Obaid, M. A. A. +3 more
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Bijective Proofs of Partition Identities of MacMahon, Andrews, and Subbarao [PDF]
Discrete 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
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An explicit bijection between semistandard tableaux and non-elliptic sl_3 webs [PDF]
, 2012 The sl_3 spider is a diagrammatic category used to study the representation theory of the quantum group U_q(sl_3). The morphisms in this category are generated by a basis of non-elliptic webs.
Russell, Heather M.
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On bijections between monotone rooted trees and the comb basis [PDF]
Discrete 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
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Bijectively related spaces. I. Manifolds [PDF]
Pacific Journal of Mathematics, 1984 Two Hausdorff spaces X and Y are bijectively related if there exist continuous bijections \(f: X\to Y\) and \(g: Y\to X\). The authors show that there exist non-homeomorphic connected bijectively related n-manifolds for each \(n\geq 2\). Starting from this fact, they mention many properties with respect to reversibility for connected manifolds.
Doyle, P. H., Hocking, J. G.
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A further correspondence between $(bc,\bar{b})$-parking functions and $(bc,\bar{b})$-forests [PDF]
Discrete 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
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Symmetric functions: a bijective identity [PDF]
Proceedings of the American Mathematical Society, 1988 We give a bijective proof of a classical identity which we have named the cyclotomic identity.
Metropolis, N., Rota, Gian-Carlo
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Arc-Coloured Permutations [PDF]
Discrete 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
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