Results 21 to 30 of about 619 (166)
Gallery Posets of Supersolvable Arrangements [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We introduce a poset structure on the reduced galleries in a supersolvable arrangement of hyperplanes. In particular, for Coxeter groups of type A or B, we construct a poset of reduced words for the longest element whose Hasse diagram is the graph of ...
Thomas McConville
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On q-integrals over order polytopes (extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 A q-integral over an order polytope coming from a poset is interpreted as a generating function of linear extensions of the poset. As an application, theq-beta integral and aq-analog of Dirichlet’s integral are computed. A combinatorial interpretation of
Jang Soo Kim
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A note about almost uniform convergence on D-poset of intuitionistic fuzzy sets [PDF]
Notes on IFSThe aim of this contribution is studying the almost uniform convergence on D-poset of intuitionistic fuzzy sets. We prove the connection between almost everywhere convergence of random variables in Kolmogorov probability space and almost uniform ...
Katarína Čunderlíková
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Intervals as Domain Constructor
Trends in Computational and Applied Mathematics, 2001 In this work we use an inteval constructor on posets which when applied to a poset D gives a new poset whose elements are intervals of D.
R. Callejas Bedregal +1 more
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The Electronic Journal of Combinatorics, 2005 Macaulay posets are posets for which there is an analogue of the classical Kruskal-Katona theorem for finite sets. These posets are of great importance in many branches of combinatorics and have numerous applications. We survey mostly new and also some old results on Macaulay posets, where the intention is to present them as pieces of a general theory.
Bezrukov, Sergei L., Leck, Uwe
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Uniquely Complemented Posets [PDF]
Order, 2017 It is known that every complemented distributive poset is uniquely complemented, and that the converse statement (that uniquely complemented posets are distributive) fails even for lattices. This paper provides conditions that force a uniquely complemented poset to be distributive.
Chajda, Ivan +2 more
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The Electronic Journal of Combinatorics, 2019 We define a family of combinatorial objects, which we call Baxter posets. We prove that Baxter posets are counted by the Baxter numbers by showing that they are the adjacency posets of diagonal rectangulations. Given a diagonal rectangulation, we describe the cover relations in the associated Baxter poset.
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Scott convergence and fuzzy Scott topology on L-posets
Open Mathematics, 2017 We firstly generalize the fuzzy way-below relation on an L-poset, and consider its continuity by means of this relation. After that, we introduce a kind of stratified L-generalized convergence structure on an L-poset.
Liu Hongping, Chen Ling
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Homomesy in products of two chains [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 Many cyclic actions $τ$ on a finite set $\mathcal{S}$ ; of combinatorial objects, along with a natural statistic $f$ on $\mathcal{S}$, exhibit ``homomesy'': the average of $f$ over each $τ$-orbit in $\mathcal{S} $ is the same as the average of $f$ over ...
James Propp, Tom Roby
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Journal of the American Mathematical Society, 1988 The author has introduced a class of partially ordered sets, called differential posets, with many remarkable combinatorial and algebraic properties.
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