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Lattice structure of Grassmann-Tamari orders [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The Tamari order is a central object in algebraic combinatorics and many other areas. Defined as the transitive closure of an associativity law, the Tamari order possesses a surprisingly rich structure: it is a congruence-uniform lattice.
Thomas McConville
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Enumeration of three term arithmetic progressions in fixed density sets [PDF]
, 2014 Additive combinatorics is built around the famous theorem by Szemer\'edi which asserts existence of arithmetic progressions of any length among the integers. There exist several different proofs of the theorem based on very different techniques.
Sjöland, Erik
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Some remarks on multiplicity codes
, 2014 Multiplicity codes are algebraic error-correcting codes generalizing classical polynomial evaluation codes, and are based on evaluating polynomials and their derivatives.
Kopparty, Swastik
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Attractiveness of the Haar measure for linear cellular automata on Markov subgroups [PDF]
, 2006 For the action of an algebraic cellular automaton on a Markov subgroup, we show that the Ces\`{a}ro mean of the iterates of a Markov measure converges to the Haar measure.
Maass, Alejandro +3 more
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Triangular arrangements on the projective plane [PDF]
Épijournal de Géométrie Algébrique, 2023 In this work we study line arrangements consisting in lines passing through three non-aligned points. We call them triangular arrangements. We prove that any combinatorics of a triangular arrangement is always realized by a Roots-of-Unity-Arrangement ...
Simone Marchesi, Jean Vallès
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Algebraic properties of word equations
, 2014 The question about maximal size of independent system of word equations is one of the most striking problems in combinatorics on words. Recently, Aleksi Saarela has introduced a new approach to the problem that is based on linear-algebraic properties of ...
Holub, Štěpán, Žemlička, Jan
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Structure and Combinatorics on Right Groups
MathematicsRight groups form an important bridge between group theory and semigroup theory, combining the algebraic symmetry of groups with the one-sided structure of right zero semigroups.
Aftab Hussain Shah +2 more
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Some extensions of Alon's Nullstellensatz [PDF]
, 2011 Alon's combinatorial Nullstellensatz, and in particular the resulting nonvanishing criterion is one of the most powerful algebraic tools in combinatorics, with many important applications.
Kós, Géza +2 more
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A Formal Account of Structuring Motor Actions With Sensory Prediction for a Naive Agent
Frontiers in Robotics and AI, 2020 For naive robots to become truly autonomous, they need a means of developing their perceptive capabilities instead of relying on hand crafted models.
Jean-Merwan Godon +2 more
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Problems in Algebraic Combinatorics
The Electronic Journal of Combinatorics, 1995 This is a list of open problems, mainly in graph theory and all with an algebraic flavour. Except for 6.1, 7.1 and 12.2 they are either folklore, or are stolen from other people.
openaire +3 more sources