So one basic approach in combinatorics is to investigate combinatorial objects by using linear algebraic parameters (ranks over various fields, spectrum, Smith normal forms, etc.) of their corresponding matrices. In this talk, we will look at some successful examples of this approach; some examples...
F. Ardila, Algebraic and Geometric Methods in Enumerative Combinatorics, arXiv:1409.2562v2, 2014, 144 pages (also Chapter 1 in [22]).F. Ardila, Algebraic and geometric methods in enumerative combinatorics, in: M. Bona (Ed.), Handbook of Enumerative Combinatorics, in: Discrete Math. and ...
2025 Journal of Algebraic Combinatorics doi: 10.1007/s10801-025-01399-2 The paper develops elementary linear algebra methods to compute the determinants of the tensor symmetrizations of quadratic and Hermitian forms over fields of good characteristic. Explicit results are given for the partitions (n)...
Algebraic CombinatoricsThe use of techniques from algebra, topology, and geometry in the solution of combinatorial problems, or the use of combinatorial methods to attack problems in these areas (Billera et al. 1999, p. ix). See alsoCombinatorics ...
Journal of Algebraic Combinatorics is a prime resource for papers where combinatorics and algebra significantly intertwine. Provides a single forum for ...
With combinatorics on words and automata theory, the reader is introduced to two areas of theoretical computer science where semigroups play a fundamental role.The last chapter is devoted to combinatorial group theory and its connections to automata. Contents:Algebraic structuresCryptographyNumber ...
The journal publishes papers in which combinatorics and algebra interact in a significant and interesting fashion. This interaction might occur through the study of combinatorial structures using algebraic methods, or the application of combinatorial methods to algebraic problems. Journal Of Algebraic Combin...
Godsil, C.D.: GRRs for nonsolvable groups, Algebraic methods in graph theory. Colloq. Math. Soc. János Bolyai, pp. 221–239. Amsterdam, New York (1981) Godsil, C.D.: On the full automorphism group of a graph. Combinatorica 1(3), 243–256 (1981) Article MathSciNet Google Scholar...
The journal publishes papers in which combinatorics and algebra interact in a significant and interesting fashion. This interaction might occur through the study of combinatorial structures using algebraic methods, or the application of combinatorial methods to algebraic problems. 《代数组合学杂志》为代数组...
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