Zobrazeno 1 - 10
of 132
pro vyhledávání: '"McConville, Thomas"'
Autor:
McConville, Thomas, Mühle, Henri
We introduce two simplicial complexes, the noncrossing matching complex and the noncrossing bipartite complex. Both complexes are intimately related to the bubble lattice introduced in our earlier article "Bubble Lattices I: Structure" (arXiv:2202.02
Externí odkaz:
http://arxiv.org/abs/2208.13683
Autor:
McConville, Thomas, Mühle, Henri
Publikováno v:
Algebra Universalis 85:12 (2024)
C. Greene introduced the shuffle lattice as an idealized model for DNA mutation and discovered remarkable combinatorial and enumerative properties of this structure. We attempt an explanation of these properties from a lattice-theoretic point of view
Externí odkaz:
http://arxiv.org/abs/2202.02874
We give a simple proof of a major index determinant formula in the symmetric group discovered by Krattenthaler and first proved by Thibon using noncommutative symmetric functions. We do so by proving a factorization of an element in the group ring of
Externí odkaz:
http://arxiv.org/abs/2102.13005
Let alpha = (a,b,...) be a composition. Consider the associated poset F(alpha), called a fence, whose covering relations are x_1 < x_2 < ... < x_{a+1} > x_{a+2} > ... > x_{a+b+1} < x_{a+b+2} < ... . We study the associated distributive lattice L(alph
Externí odkaz:
http://arxiv.org/abs/2008.13232
Autor:
Jiradilok, Pakawut, McConville, Thomas
We prove a conjecture by Diaz-Lopez et al. that bounds the roots of descent polynomials. To do so, we prove an algebraic inequality, which we refer to as the "Slice and Push Inequality." This inequality compares expressions that come from Naruse's ho
Externí odkaz:
http://arxiv.org/abs/1910.14631
Publikováno v:
Discrete Comput. Geom., 67(1):166-202, 2022
We extend the facial weak order from finite Coxeter groups to central hyperplane arrangements. The facial weak order extends the poset of regions of a hyperplane arrangement to all its faces. We provide four non-trivially equivalent definitions of th
Externí odkaz:
http://arxiv.org/abs/1910.03511
We consider the closure space on the set of strings of a gentle algebra of finite representation type. Palu, Pilaud, and Plamondon proved that the collection of all biclosed sets of strings forms a lattice, and moreover, that this lattice is congruen
Externí odkaz:
http://arxiv.org/abs/1808.10346
Autor:
Barnard, Emily, McConville, Thomas
The Malvenuto-Reutenauer algebra is a well-studied combinatorial Hopf algebra with a basis indexed by permutations. This algebra contains a wide variety of interesting sub Hopf algebras, in particular the Hopf algebra of plane binary trees introduced
Externí odkaz:
http://arxiv.org/abs/1808.05670
A cellular string of a polytope is a sequence of faces stacked on top of each other in a given direction. The poset of cellular strings, ordered by refinement, is known to be homotopy equivalent to a sphere. The subposet of coherent cellular strings
Externí odkaz:
http://arxiv.org/abs/1801.09140
Autor:
Wong Fok Lung, Tania, Charytonowicz, Daniel, Beaumont, Kristin G., Shah, Shivang S., Sridhar, Shwetha H., Gorrie, Claire L., Mu, Andre, Hofstaedter, Casey E., Varisco, David, McConville, Thomas H., Drikic, Marija, Fowler, Brandon, Urso, Andreacarola, Shi, Wei, Fucich, Dario, Annavajhala, Medini K., Khan, Ibrahim N., Oussenko, Irina, Francoeur, Nancy, Smith, Melissa L., Stockwell, Brent R., Lewis, Ian A., Hachani, Abderrahman, Upadhyay Baskota, Swikrity, Uhlemann, Anne-Catrin, Ahn, Danielle, Ernst, Robert K., Howden, Benjamin P., Sebra, Robert, Prince, Alice
Publikováno v:
In Cell Metabolism 3 May 2022 34(5):761-774
