Results 51 to 60 of about 26,723 (134)
The interactive sum choice number of graphs [PDF]
, 2017 We introduce a variant of the well-studied sum choice number of graphs, which we call the interactive sum choice number. In this variant, we request colours to be added to the vertices' colour-lists one at a time, and so we are able to make use of ...
Bonamy, Marthe, Meeks, Kitty
core +3 more sources
Discrete Mathematics & Theoretical Computer Science, 2020 We conjecture two combinatorial interpretations for the symmetric function ∆eken, where ∆f is an eigenoperator for the modified Macdonald polynomials defined by Bergeron, Garsia, Haiman, and Tesler.
James Haglund +2 more
doaj +1 more source
A dual approach to structure constants for K-theory of Grassmannians [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 The problem of computing products of Schubert classes in the cohomology ring can be formulated as theproblem of expanding skew Schur polynomial into the basis of ordinary Schur polynomials. We reformulate theproblem of computing the structure constants
Huilan Li, Jennifer Morse, Pat Shields
doaj +1 more source
Combinatorics on Bounded Free Motzkin Paths and its Applications [PDF]
Electronic Journal of Combinatorics, 2022 In this paper, we construct a bijection from a set of bounded free Motzkin paths to a set of bounded Motzkin prefixes that induces a bijection from a set of bounded free Dyck paths to a set of bounded Dyck prefixes.
Hyunsoo Cho +3 more
semanticscholar +1 more source
McKay Centralizer Algebras [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 For a finite subgroup G of the special unitary group SU2, we study the centralizer algebra Zk(G) = EndG(V⊗k) of G acting on the k-fold tensor product of its defining representation V = C2.
Georgia Benkart, Tom Halverson
doaj +1 more source
Parabolic double cosets in Coxeter groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 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, including the geometry and topology of generalized flag varieties and the symmetry groups of ...
Sara Billey +4 more
doaj +1 more source
Quiver combinatorics and triangulations of cyclic polytopes
Algebraic Combinatorics, 2023 Motivated by higher homological algebra, we associate quivers to triangulations of even-dimensional cyclic polytopes and prove two results showing what information about the triangulation is encoded in the quiver.
Nicholas J. Williams
semanticscholar +1 more source
Fully packed loop configurations : polynomiality and nested arches [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 This extended abstract proves that the number of fully packed loop configurations whose link pattern consists of two noncrossing matchings separated by m nested arches is a polynomial in m.
Florian Aigner
doaj +1 more source
A combinatorial approach to Macdonald q, t-symmetry via the Carlitz bijection [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We investigate the combinatorics of the symmetry relation H μ(x; q, t) = H μ∗ (x; t, q) on the transformed Macdonald polynomials, from the point of view of the combinatorial formula of Haglund, Haiman, and Loehr in terms of the inv and maj statistics on ...
Maria Monks Gillespie
doaj +1 more source
Integrable Combinatorics [PDF]
, 2012 We review various combinatorial problems with underlying classical or quantum integrable structures. (Plenary talk given at the International Congress of Mathematical Physics, Aalborg, Denmark, August 10, 2012.)Comment: 21 pages, 16 figures, proceedings ...
Di Francesco, Philippe
core +1 more source