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Integrable Combinatorics [PDF]
Proceedings of the International Congress of Mathematicians (ICM 2018), 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 +4 more sources
Advanced Materials, 2020 Artificial scent screening systems (known as electronic noses, E‐noses) have been researched extensively. A portable, automatic, and accurate, real‐time E‐nose requires both robust cross‐reactive sensing and fingerprint pattern recognition.
Lingling Guo, Ting Wang, Zhonghua Wu
exaly +2 more sources
A case for combinatorics: A research commentary
Journal of Mathematical Behavior, 2020 In this commentary, we make a case for the explicit inclusion of combinatorial topics in mathematics curricula, where it is currently essentially absent. We suggest ways in which researchers might inform the field’s understanding of combinatorics and its
Elise Lockwood, Erik Tillema
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Smith Normal Form in Combinatorics [PDF]
Journal of Combinatorial Theory, 2015 This paper surveys some combinatorial aspects of Smith normal form, and more generally, diagonal form. The discussion includes general algebraic properties and interpretations of Smith normal form, critical groups of graphs, and Smith normal form of ...
Stanley, Richard P.
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Bicycle or Unicycle?, 2018 We explore lattice structures on integer binary relations ...
Peter Keevash +2 more
semanticscholar +2 more sources
On BMRN*-colouring of planar digraphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2021 In a recent work, Bensmail, Blanc, Cohen, Havet and Rocha, motivated by applications for TDMA scheduling problems, have introduced the notion of BMRN*-colouring of digraphs, which is a type of arc-colouring with particular colouring constraints.
Julien Bensmail, Foivos Fioravantes
doaj +1 more source
Oberwolfach Reports, 2023 The Department of Mathematics at Harvey Mudd College will host its 8t annual Mathematics Conference on Saturday, October 7, 2006. Keynote speakers will discuss new developments and applications of enumerative combinatorics. Faculty, postdoctoral fellows
Mireille Bousquet-Mélou +3 more
semanticscholar +1 more source
The generalized 3-connectivity of Cartesian product graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 Graph ...
Hengzhe Li, Xueliang Li, Yuefang Sun
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Enumeration of bilaterally symmetric 3-noncrossing partitions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 Schützenberger's theorem for the ordinary RSK correspondence naturally extends to Chen et. al's correspondence for matchings and partitions. Thus the counting of bilaterally symmetric $k$-noncrossing partitions naturally arises as an analogue for ...
Guoce Xin, Terence Y. J. Zhang
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Transactions of the American Mathematical Society, 2006 In this paper we extend the block combinatorics partition theorems of Hindman and Milliken in the setting of the recursive system of the block Schreier families (B^xi) consisting of families defined for every countable ordinal xi. Results contain (a) a block partition Ramsey theorem for every countable ordinal xi (Hindman's theorem corresponding to xi ...
Farmaki, V., Negrepontis, S.
openaire +4 more sources