Shareshian wachs
WebbWe combine these tools to present two recent applications developed by Shareshian and Wachs. The first application is a quasisymmetric … Webb4 SHARESHIAN AND WACHS (1) Our conjecture that the generalized q-Eulerian polynomials are unimodal (Conjecture 3.3). This would follow from Theorem 1.1 and the hard Lefschetz theorem applied to Tymoczko’s repre-sentation on the cohomology of the Hessenberg variety. (2) Tymoczko’s problem of nding a decomposition of her repre-
Shareshian wachs
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Webb19 maj 2014 · An explicit combinatorial formula, conjectured by Shareshian and Wachs, expressing the chromatic quasisymmetric function of the incomparability graph of a … Webb14 dec. 2016 · Chromatic quasisymmetric functions of labeled graphs were defined by Shareshian and Wachs as a refinement of Stanley's chromatic symmetric functions. In …
Webb6 jan. 2024 · A second proof of the Shareshian--Wachs conjecture, by way of a new Hopf algebra. Mathieu Guay-Paquet; Mathematics. 2016; This is a set of working notes which … WebbIn 2010 Chung-Graham-Knuth proved an interesting symmetric identity for the Eulerian numbers and asked for a q-analog version. Using the q-Eulerian polynomials introduced by Shareshian-Wachs we find such a q-identity. Moreover, we provide a bijective proof that we further generalize to prove other symmetric qidentities using a combinatorial model due …
Webb3 mars 2024 · J. Shareshian, M. L. Wachs, Chromatic quasisymmetric functions and Hessenberg varieties, in: Configuration Spaces, CRM Series, Vol. 14, Ed. Norm., Pisa, … Webb1 sep. 2024 · In this paper, we define the chromatic quasisymmetric function of a directed graph, which agrees with the Shareshian-Wachs definition in the acyclic case. We give …
WebbShareshian and Wachs showed that if G is the incomparability graph of a natural unit interval order then X Gpx,tqis a polynomial with very nice properties. They also made a conjecture on the e-positivity and the e-unimodality of X Gpx,tq.
Webb3 dec. 2008 · John Shareshian, Michelle L. Wachs We introduce a family of quasisymmetric functions called {\em Eulerian quasisymmetric functions}, which specialize to … ctr4201h-7675Webb11 apr. 2024 · In 2015, Brosnan and Chow, and independently Guay-Paquet, proved the Shareshian-Wachs conjecture, which links the Stanley-Stembridge conjecture in combinatorics to the geometry of Hessenberg ... ctr3593s-6262WebbThe enumerative theory of simplicial subdivisions (triangulations) of simplicial complexes was developed by Stanley in order to understand the effect of such subdivisions on the -vector of a simplicial complex. A key r… ctr 300tt2WebbGeneralizations of (1.1) appear in the paper [21] of Shareshian and Wachs. For a poset Pwith unique minimum element ^0, P will denote Pnf^0g. For a prime power q>1 and a positive integer n, the poset of all subspaces of an n-dimensional vector space over the q-element eld F q will be denoted by B n(q). Also, D n will denote the set of all ctr4k th10WebbOur proof uses previous work of Stanley, Gasharov, Shareshian–Wachs, and Brosnan–Chow, as well as results of the second author on the geometry and … ctr34.smp.ne.jp/login.htmlWebbShareshian and Wachs used an involution which is similar to, but not the same as, the involution for e n in their determination of the coefficient ofp n in X(inc(P);x,t). There have been other applications of The Method The height of a poset P, htP, is the number of elements in a longest chain. ctr 42ip partsWebbThrough the links connected to the speakers' names you find titles and abstracts of talks as well as links to their homepages. A full program for the meeting is available here and on the AMS program page.. Click here to obtain further information for speakers and participants concerning abstract submission, location of the meeting, travel, and more. earthstone operating woodlands