Results 11 to 20 of about 3,991 (224)
Nonrepetitive colorings of lexicographic product of graphs [PDF]
Special issue PRIMA ...
Balázs Keszegh +2 more
doaj +1 more source
Two New Classes of Codebooks Asymptotically Achieving the Welch Bound
Exponential sums over Galois rings have many applications in coding theory, cryptography and algebraic combinatorics. In this article, we employ additive characters and multiplicative characters over Galois rings to present two classes of codebooks, and ...
Shimin Sun, Li Han, Yang Yan, Yao Yao
doaj +1 more source
Avoider-enforcer star games [PDF]
Combinatorics
Andrzej Grzesik +5 more
doaj +1 more source
Rational smoothness and affine Schubert varieties of type A [PDF]
The study of Schubert varieties in G/B has led to numerous advances in algebraic combinatorics and algebraic geometry. These varieties are indexed by elements of the corresponding Weyl group, an affine Weyl group, or one of their parabolic quotients ...
Sara Billey, Andrew Crites
doaj +1 more source
Schur-positivity via products of grid classes [PDF]
Characterizing sets of permutations whose associated quasisymmetric function is symmetric and Schur- positive is a long-standing problem in algebraic combinatorics. In this paper we present a general method to construct Schur-positive sets and multisets,
Sergi Elizalde, Yuval Roichman
doaj +1 more source
On the Combinatorics of Gentle Algebras [PDF]
AbstractFor $A$ a gentle algebra, and $X$ and $Y$ string modules, we construct a combinatorial basis for $\operatorname{Hom}(X,\unicode[STIX]{x1D70F}Y)$. We use this to describe support $\unicode[STIX]{x1D70F}$-tilting modules for $A$. We give a combinatorial realization of maps in both directions realizing the bijection between support $\unicode[STIX]{
Brüstle, Thomas +4 more
openaire +3 more sources
Hopf algebra of permutation pattern functions [PDF]
We study permutation patterns from an algebraic combinatorics point of view. Using analogues of the classical shuffle and infiltration products for word, we define two new Hopf algebras of permutations related to the notion of permutation pattern.
Yannic Vargas
doaj +1 more source
Poset topology and homological invariants of algebras arising in algebraic combinatorics [PDF]
We present a beautiful interplay between combinatorial topology and homological algebra for a class of monoids that arise naturally in algebraic combinatorics. We explore several applications of this interplay.
Stuart Margolis +2 more
doaj +1 more source
Cut Vertices in Random Planar Maps [PDF]
The main goal of this paper is to determine the asymptotic behavior of the number X n of cut-vertices in random planar maps with n edges. It is shown that X n / n ¿ c in probability (for some explicit c > 0 ).
Benedikt Stufler +6 more
core +1 more source
A Divided Difference Operator [PDF]
We construct a divided difference operator using GKM theory. This generalizes the classical divided difference operator for the cohomology of the complete flag variety.
Nicholas Teff
doaj +1 more source

