Special issue linear algebraic methods in combinatorics/graph theorydoi:10.1016/0024-3795(80)90092-0ELSEVIERLinear Algebra and its Applications
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...
Mathematics - Combinatorics05-0005Axx05ExxA survey written for the upcoming "Handbook of Enumerative Combinatorics".doi:10.1201/b18255-3Ardila, FedericoEprint ArxivF. Ardila, Algebraic and geometric methods in enumerative combinatorics. Handbook of Enumerative Combinatorics, ed. M. Bona, Chapman and...
Independently and using different methods, the author defined a notion of Heisenberg crystal for higher level Fock spaces [9], that turns out to coincide with Losev’s crystal. An explicit formula was also given in another particular case, using level-rank duality. Like the Uq′(sle^)-...
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...
(NPco-NP characterization), total dual integrality, polymatroids, and submodular flows. With boosting of the separation-optimization equivalence [31] via the ellipsoid method, these LP-based polyhedral methods (a.k.a.polyhedral combinatorics) are now understood as a basic paradigm in combinatorial ...
More specifically, we show that if f is a vector valued harmonic Maass form of weight 1/2 whose principal part is defined over a number field K, and whose shadow lies in the space of unary theta functions, then all coefficients of the holomorphic part of f lie in K. This contrasts a...
Coverage Areas: Although the list is not prescriptive, Journal of Algebraic Statistics intends to focus on advances in the following sub-domains: Computational Theory Computer Science Ring and Module theory Group theory Semigroup theory Linear Algebra, Algebraic combinatorics Algebraic graph theory, Homo...
Coverage Areas: Although the list is not prescriptive, Journal of Algebraic Statistics intends to focus on advances in the following sub-domains: Computational Theory Computer Science Ring and Module theory Group theory Semigroup theory Linear Algebra, Algebraic combinatorics Algebraic graph theory, Homo...
e. Jiří Matoušek, Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry, Springer, 2003. f. Tomasz Kaczynski, Konstantin Mischaikow, Marian Mrozek, Computational Homology, Springer, 2004. g. J. Peter May, A Concise Course in Algebraic Topology, ...