Výsledky vyhledávání - "[math.math-co] mathematics [math]/combinatorics [math.co]"

Non-representable hyperbolic matroids Autor Amini, Nima, Branden, Petter

“…The generalized Lax conjecture asserts that each hyperbolicity cone is a linear slice of the cone of positive semidefinite matrices. Hyperbolic polynomials…”
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Combinatorial description of the cohomology of the affine flag variety Autor Lee, Seung Jin

“…We construct the affine version of the Fomin-Kirillov algebra, called the affine FK algebra, to investigatethe combinatorics of affine Schubert calculus for…”
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The Delta Conjecture Autor Haglund, James, Remmel, Jeffrey B., Wilson, Andrew Timothy

“…We conjecture two combinatorial interpretations for the symmetric function ∆eken, where ∆f is an eigenoperator for the modified Macdonald polynomials defined…”
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The colored symmetric and exterior algebras Autor Gonzalez D'Leon, Rafael S.

“…In this extended abstract we present colored generalizations of the symmetric algebra and its Koszul dual, the exterior algebra. The symmetric group Sn acts on…”
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A bijection for nonorientable general maps Autor Bettinelli, Jérémie

“…We give a different presentation of a recent bijection due to Chapuy and Dołe ̨ga for nonorientable bipartite quadrangulations and we extend it to the case of…”
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Total positivity for the Lagrangian Grassmannian Autor Karpman, Rachel

“…The positroid decomposition of the Grassmannian refines the well-known Schubert decomposition, and has a rich combinatorial structure. There are a number of…”
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Dual Immaculate Quasisymmetric Functions Expand Positively into Young Quasisymmetric Schur Functions Autor Allen, Edward, Hallam, Joshua, Mason, Sarah

“…We describe a combinatorial formula for the coefficients when the dual immaculate quasisymmetric func- tions are decomposed into Young quasisymmetric Schur…”
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A two-sided analogue of the Coxeter complex Autor Petersen, T. Kyle

“…For any Coxeter system (W, S) of rank n, we introduce an abstract boolean complex (simplicial poset) of dimension 2n − 1 which contains the Coxeter complex as…”
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Parabolic double cosets in Coxeter groups Autor Billey, Sara, Konvalinka, Matjaz, Petersen, T. Kyle, Slofstra, William, Tenner, Bridget

“…Parabolic subgroups WI of Coxeter systems (W,S) and their ordinary and double cosets W/WI and WI\W/WJ appear in many contexts in combinatorics and Lie theory,…”
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Rational Dyck Paths in the Non Relatively Prime Case Autor Gorsky, Eugene, Mazin, Mikhail, Vazirani, Monica

“…We study the relationship between rational slope Dyck paths and invariant subsets in Z, extending the work of the first two authors in the relatively prime…”
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Matrix-Ball Construction of affine Robinson-Schensted correspondence Autor Chmutov, Michael, Pylyavskyy, Pavlo, Yudovina, Elena

“…In his study of Kazhdan-Lusztig cells in affine type A, Shi has introduced an affine analog of Robinson- Schensted correspondence. We generalize the…”
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On the Boolean dimension of a graph and other related parameters Autor Pouzet, Maurice, Si Kaddour, Hamza, Thatte, Bhalchandra

“…We present the Boolean dimension of a graph, we relate it with the notions of inner, geometric and symplectic dimensions, and with the rank and minrank of a…”
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Asymptotics of polygons in restricted geometries subject to a force Autor Beaton, Nicholas, Eng, Jeremy, Soteros, Christine

“…We consider self-avoiding polygons in a restricted geometry, namely an infinite L × M tube in Z3. These polygons are subjected to a force f, parallel to the…”
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A non-partitionable Cohen–Macaulay simplicial complex Autor Duval, Art M., Goeckner, Bennet, Klivans, Caroline J., Martin, Jeremy

“…A long-standing conjecture of Stanley states that every Cohen–Macaulay simplicial complex is partition- able. We disprove the conjecture by constructing an…”
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Maximal green sequences for arbitrary triangulations of marked surfaces (Extended Abstract) Autor Mills, Matthew R.

“…In general, the existence of a maximal green sequence is not mutation invariant. In this paper we show that it is in fact mutation invariant for cluster…”
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Plane partitions and the combinatorics of some families of reduced Kronecker coefficients Autor Colmenarejo, Laura

“…We compute the generating function of some families of reduced Kronecker coefficients. We give a combi- natorial interpretation for these coefficients in terms…”
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Brick polytopes, lattices and Hopf algebras Autor Pilaud, Vincent

“…Generalizing the connection between the classes of the sylvester congruence and the binary trees, we show that the classes of the congruence of the weak order…”
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Counting connected graphs with large excess Autor De Panafieu, Élie

“…We enumerate the connected graphs that contain a linear number of edges with respect to the number of vertices. So far, only the first term of the asymptotics…”
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Non-ambiguous trees: new results and generalization Autor Aval, Jean-Christophe, Boussicault, Adrien, Delcroix-Oger, Bérénice, Hivert, Florent, Laborde-Zubieta, Patxi

“…We present a new definition of non-ambiguous trees (NATs) as labelled binary trees. We thus get a differ- ential equation whose solution can be described…”
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Monodromy and K-theory of Schubert curves via generalized jeu de taquin Autor Gillespie, Maria Monks, Levinson, Jake

“…We establish a combinatorial connection between the real geometry and the K-theory of complex Schubert curves Spλ‚q, which are one-dimensional Schubert…”
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