Results 1 to 10 of about 52 (52)
Symmetric edge polytopes and matching generating polynomials [PDF]
, 2021 Symmetric edge polytopes \(\mathcal{A}_G\) of type A are lattice polytopes arising from the root system \(A_n\) and finite simple graphs \(G\). There is a connection between \(\mathcal{A}_G\) and the Kuramoto synchronization model in physics.
Ohsugi, Hidefumi, Tsuchiya, Akiyoshi
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Arquile Varieties – Varieties Consisting of Power Series in a Single Variable
Forum of Mathematics, Sigma, 2021 Spaces of power series solutions $y(\mathrm {t})$ in one variable $\mathrm {t}$ of systems of polynomial, algebraic, analytic or formal equations $f(\mathrm {t},\mathrm {y})=0$ can be viewed as ‘infinite-dimensional’ varieties over ...
Herwig Hauser, Sebastian Woblistin
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Geometric vertex decomposition and liaison
Forum of Mathematics, Sigma, 2021 Geometric vertex decomposition and liaison are two frameworks that have been used to produce similar results about similar families of algebraic varieties. In this paper, we establish an explicit connection between these approaches.
Patricia Klein, Jenna Rajchgot
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On algebraic characterization of SSC of the Jahangir’s graph 𝓙n,m
Open Mathematics, 2018 In this paper, some algebraic and combinatorial characterizations of the spanning simplicial complex Δs(𝓙n,m) of the Jahangir’s graph 𝓙n,m are explored. We show that Δs(𝓙n,m) is pure, present the formula for f-vectors associated to it and hence deduce a ...
Raza Zahid, Kashif Agha, Anwar Imran
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On the first fall degree of summation polynomials
Journal of Mathematical Cryptology, 2019 We improve on the first fall degree bound of polynomial systems that arise from a Weil descent along Semaev’s summation polynomials relevant to the solution of the Elliptic Curve Discrete Logarithm Problem via Gröbner basis algorithms.
Kousidis Stavros, Wiemers Andreas
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Transversal intersection and sum of polynomial ideals
, 2022 In this paper we derive some conditions for transversal intersection of polynomial ideals and present some examples. Finally, as an application of the results proved, we compute the Betti numbers of ideals of the form I1(XY)+J, where X and Y are some ...
Tripathi, Gaurab +2 more
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Increasing subsequences, matrix loci and Viennot shadows
Forum of Mathematics, SigmaLet ${\mathbf {x}}_{n \times n}$ be an $n \times n$ matrix of variables, and let ${\mathbb {F}}[{\mathbf {x}}_{n \times n}]$ be the polynomial ring in these variables over a field ${\mathbb {F}}$ .
Brendon Rhoades
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Dickson Polynomials that are Permutations [PDF]
, 2004 2000 Mathematics Subject Classification: 11T06, 13P10.A theorem of S.D. Cohen gives a characterization for Dickson polynomials of the second kind that permutes the elements of a finite field of cardinality the square of the characteristic.
Cipu, Mihai
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Forum of Mathematics, SigmaThe study of Koszul binomial edge ideals was initiated by V. Ene, J. Herzog, and T. Hibi in 2014, who found necessary conditions for Koszulness. The binomial edge ideal $J_G$ associated to a finite simple graph G is always generated by quadrics ...
Adam LaClair +3 more
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On The (De)Homogenization of Sagbi-Gröbner Bases for Modules
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaThis article explores the behavior of Sagbi-Gröbner bases for modules over polynomial subalgebras under the process of homogenization and dehomogenization.
Kanwal Nazish, Khan Junaid Alam
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