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Equivalent Forms for a Poset to Be Modular Poset
Discussiones Mathematicae - General Algebra and Applications, 2021 The notion of modular and distributive posets which generalize the corresponding notions from the lattice theory are introduced by J. Larmerova and J. Rachnek.
Sundarayya P., Kishore T. Ravi
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A Poset Classifying Non-Commutative Term Orders [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 We study a poset $\Re$ on the free monoid (X*) on a countable alphabet X.This poset is determined by the fact that its total extensions are precisely the standard term orders on X*.
Jan Snellman
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On the poset of all posets on n elements
Discrete Applied Mathematics, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Richard A Brualdi, William T Trotter
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Open Mathematics, 2006 AbstractThis article extends a paper of Abraham and Bonnet which generalised the famous Hausdorff characterisation of the class of scattered linear orders. They gave an inductively defined hierarchy that characterised the class of scattered posets which do not have infinite incomparability antichains (i.e. have the FAC).
Džamonja Mirna, Thompson Katherine
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Monotone and cone preserving mappings on posets [PDF]
Mathematica Bohemica, 2023 We define several sorts of mappings on a poset like monotone, strictly monotone, upper cone preserving and variants of these. Our aim is to study in which posets some of these mappings coincide.
Ivan Chajda, Helmut Länger
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Matching on poset‐based average rank for multiple treatments to compare many unbalanced groups [PDF]
Statistics in Medicine, 2021 Margherita Silan +2 more
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Journal of Combinatorial Theory, Series A, 2021 In 1995 Stanley introduced the chromatic symmetric function $X_G$ of a graph $G$, whose $e$-positivity and Schur-positivity has been of large interest. In this paper we study the relative $e$-positivity and Schur-positivity between connected graphs on $n$ vertices.
Samantha Dahlberg +2 more
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Examples of Pomonoids of Full Transformations of a Poset
Scientific Journal of King Faisal University: Basic and Applied Sciences, 2022 In this research, the partially ordered monoid (simple pomonoid) full transformations of a poset O(X) is studied, and some related properties are examined.
Bana Al Subaiei
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The $m$-Cover Posets and the Strip-Decomposition of $m$-Dyck Paths [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 In the first part of this article we present a realization of the $m$-Tamari lattice $\mathcal{T}_n^{(m)}$ in terms of $m$-tuples of Dyck paths of height $n$, equipped with componentwise rotation order. For that, we define the $m$-cover poset $\mathcal{P}
Myrto Kallipoliti, Henri Mühle
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Euler flag enumeration of Whitney stratified spaces [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We show the $\mathrm{cd}$-index exists for Whitney stratified manifolds by extending the notion of a graded poset to that of a quasi-graded poset. This is a poset endowed with an order-preserving rank function and a weighted zeta function. This allows us
Richard Ehrenborg +2 more
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