Results 21 to 30 of about 213,086 (270)
Licci binomial edge ideals [PDF]
Journal of Combinatorial Theory, Series A, 2020 We give a complete characterization of graphs whose binomial edge ideal is licci. An important tool is a new general upper bound for the regularity of binomial edge ideals.
Ene V., Rinaldo G., Terai N.
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Depth and Stanley Depth of the Edge Ideals of r-Fold Bristled Graphs of Some Graphs
Mathematics, 2023 In this paper, we find values of depth, Stanley depth, and projective dimension of the quotient rings of the edge ideals associated with r-fold bristled graphs of ladder graphs, circular ladder graphs, some king’s graphs, and circular king’s graphs.
Ying Wang +5 more
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Generalized multiplicities of edge ideals [PDF]
, 2017 We explore connections between the generalized multiplicities of square-free monomial ideals and the combinatorial structure of the underlying hypergraphs using methods of commutative algebra and polyhedral geometry.
Alilooee, Ali +2 more
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Ideal based hypergraph of a commutative ring
AKCE International Journal of Graphs and Combinatorics, 2021 Let R be a commutative ring and k an integer strictly greater than 2. The k-maximal ideal hypergraph to R with vertex set the set of all k-maximal ideals in R and for distinct ideals I1, in the set is an edge of if and only if and the sum of any elements
V. C. Amritha, K. Selvakumar
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Matchings and squarefree powers of edge ideals [PDF]
Journal of Combinatorial Theory, Series A, 2022 21 pages, 6 ...
Erey, Nursel +3 more
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Splittings of monomial ideals [PDF]
, 2008 We provide some new conditions under which the graded Betti numbers of a monomial ideal can be computed in terms of the graded Betti numbers of smaller ideals, thus complementing Eliahou and Kervaire's splitting approach.
Francisco, Christopher A. +2 more
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On the binomial edge ideals of block graphs
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 We find a class of block graphs whose binomial edge ideals have minimal regularity. As a consequence, we characterize the trees whose binomial edge ideals have minimal regularity.
Chaudhry Faryal +2 more
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On the hilbert series of binomial edge ideals of generalized trees [PDF]
Transactions on Combinatorics, 2017 In this paper we introduce the concept of generalized trees and compute the Hilbert series of their binomial edge ideals.
Mahdis Saeedi, Farhad Rahmati
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Religious Dimensions in Transhumanist and Posthumanist Philosophies of Science
Conatus - Journal of Philosophy, 2021 The article discusses transhumanism and posthumanism as marginal trajectories of the modern philosophy of science, which, however, distinctly influence the mainstream narrative of science and societal relations.
Evaldas Juozelis
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Parity binomial edge ideals [PDF]
Journal of Algebraic Combinatorics, 2015 21 pages, 3 figures, v2: minor problem in proof of Lemma 2.4 corrected, construction of Gr\"obner basis in Section 3 corrected, Example 5.1 replaced by Remark 5.1, final version as in Journal of Algebraic Combinatorics, v3: footnote to Lemma 3.8 ...
Kahle, Thomas +2 more
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