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Preface: Geometric and algebraic combinatorics [PDF]
Designs, Codes and Cryptography, 2012 The present issue of Designs, Codes and Cryptography is devoted to the theme “Geometric and Algebraic Combinatorics”. A central concept in this research area is the Association Scheme. On one hand it can be a tool for a better understanding of combinatorial objects, such as error correcting codes, block designs, point-line incidence geometries, and ...
Edwin R. van Dam, Willem H. Haemers
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Matroid relaxations and Kazhdan-Lusztig non-degeneracy [PDF]
, 2022 In this paper we study the interplay between the operation of circuit-hyperplane relaxation and the Kazhdan--Lusztig theory of matroids. We obtain a family of polynomials, not depending on the matroids but only on their ranks, that relate the Kazhdan ...
Ferroni, Luis, +3 more
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Geometric and Algebraic Combinatorics [PDF]
, 2015 The 2015 Oberwolfach meeting “Geometric and Algebraic Combinatorics” was organized by Gil Kalai (Jerusalem), Isabella Novik (Seattle), Francisco Santos (Santander), and Volkmar Welker (Marburg).
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Dissimilarity Vectors of Trees and Their Tropical Linear Spaces (Extended Abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We study the combinatorics of weighted trees from the point of view of tropical algebraic geometry and tropical linear spaces. The set of dissimilarity vectors of weighted trees is contained in the tropical Grassmannian, so we describe here the tropical ...
Benjamin Iriarte Giraldo
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Well quasi-order in combinatorics : embeddings and homomorphisms [PDF]
, 2015 The notion of well quasi-order (wqo) from the theory of ordered sets often arises naturally in contexts where one deals with infinite collections of structures which can somehow be compared, and it then represents a useful discriminator between ‘tame ...
Ruskuc, Nik +3 more
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Arc Spaces and Rogers-Ramanujan Identities [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Arc spaces have been introduced in algebraic geometry as a tool to study singularities but they show strong connections with combinatorics as well. Exploiting these relations we obtain a new approach to the classical Rogers-Ramanujan Identities.
Clemens Bruschek +2 more
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Toric degenerations of Grassmannians from matching fields [PDF]
, 2019 We study the algebraic combinatorics of monomial degenerations of Plücker forms which is governed by matching fields in the sense of Sturmfels and Zelevinsky.
Mohammadi, Fatemeh +2 more
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International Journal of Mathematical Combinatorics, Vol.3 [PDF]
, 2009 The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 460 pages approx.
Mao, Linfan (Editor-in-Chief)
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Geometric, Algebraic, and Topological Combinatorics [PDF]
, 2023 The 2023 Oberwolfach meeting "Geometric, Algebraic, and Topological Combinatorics'' was organized by Gil Kalai (Jerusalem), Isabella Novik (Seattle), Francisco Santos (Santander), and Volkmar Welker (Marburg).
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Combinatorics of the Free Baxter Algebra [PDF]
The Electronic Journal of Combinatorics, 2006 We study the free (associative, non-commutative) Baxter algebra on one generator. The first explicit description of this object is due to Ebrahimi-Fard and Guo. We provide an alternative description in terms of a certain class of trees, which form a linear basis for this algebra.
Marcelo Aguiar, Walter Moreira
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