Results 1 to 10 of about 462 (185)
A complete theoretical framework for inferring horizontal gene transfers using partial order sets. [PDF]
PLoS ONE, 2023 We present a method for detecting horizontal gene transfer (HGT) using partial orders (posets). The method requires a poset for each species/gene pair, where we have a set of species S, and a set of genes G.
Nahla A Belal, Lenwood S Heath
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The Category of $S$-Fuzzy Posets [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we define and consider, the category {\bf FPos}-$S$ of all $S$-fuzzy posets and action-preserving monotone maps between them. $S$-fuzzy poset congruences which play an important role in studying thecategorical properties of $S$-fuzzy ...
Leila Shahbaz
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A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS [PDF]
Journal of Algebraic Systems, 2020 In this paper, we investigate po-purity using finitely presented S-posets, and give some equivalent conditions under which an S-poset is absolutely po-pure.
R. Khosravi, M. Roueentan
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Finite Eulerian posets which are binomial or Sheffer [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 In this paper we study finite Eulerian posets which are binomial or Sheffer. These important classes of posets are related to the theory of generating functions and to geometry.
Hoda Bidkhori
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Four Variations on Graded Posets [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We explore the enumeration of some natural classes of graded posets, including $(2 + 2)$-avoiding graded posets, $(3 + 1)$-avoiding graded posets, $(2 + 2)$- and $(3 + 1)$-avoiding graded posets, and the set of all graded posets.
Yan X Zhang
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Semi-pointed partition posets [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We present here a family of posets which generalizes both partition and pointed partition posets. After a short description of these new posets, we show that they are Cohen-Macaulay, compute their Moebius numbers and their characteristic polynomials ...
Bérénice Delcroix-Oger
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$0$-ideals in $0$-distributive posets [PDF]
Mathematica Bohemica, 2016 The concept of a $0$-ideal in $0$-distributive posets is introduced. Several properties of $0$-ideals in $0$-distributive posets are established. Further, the interrelationships between $0$-ideals and $\alpha$-ideals in $0$-distributive posets are ...
Khalid A. Mokbel
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Double homotopy Cohen-Macaulayness for the poset of injective words and the classical NC-partition lattice [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 In this paper we study topological properties of the poset of injective words and the lattice of classical non-crossing partitions. Specifically, it is shown that after the removal of the bottom and top elements (if existent) these posets are doubly ...
Myrto Kallipoliti, Martina Kubitzke
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Structure and enumeration of $(3+1)$-free posets (extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 A poset is $(3+1)$-free if it does not contain the disjoint union of chains of length 3 and 1 as an induced subposet. These posets are the subject of the $(3+1)$-free conjecture of Stanley and Stembridge.
Mathieu Guay-Paquet +2 more
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On Orbits of Order Ideals of Minuscule Posets [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 An action on order ideals of posets considered by Fon-Der-Flaass is analyzed in the case of posets arising from minuscule representations of complex simple Lie algebras.
David B. Rush, Xiaolin Shi
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