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Binomial edge ideals with pure resolutions [PDF]
Collectanea Mathematica, 2014 10 pages, 8 figures, To appear in Collectanea ...
Kiani, Dariush, Madani, Sara Saeedi
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Classification of unmixed parity binomial edge ideals of cactus and chordal graphs [PDF]
Journal of Algebraic CombinatoricsIn this article, we characterize all unmixed and Cohen-Macaulay parity binomial edge ideals of cactus and chordal graphs in terms of the structural properties of the graph.
Deblina Dey +2 more
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Sequentially Cohen-Macaulay binomial edge ideals [PDF]
We prove that wheels and block graphs have sequentially Cohen-Macaulay binomial edge ideals. Moreover, we provide a construction of new families of sequentially Cohen-Macaulay graphs by cones.
Ernesto Lax +2 more
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Connected domination in graphs and v-numbers of binomial edge ideals [PDF]
Collectanea Mathematica, 2023 The v-number of a graded ideal is an algebraic invariant introduced by Cooper et al., and originally motivated by problems in algebraic coding theory.
Delio Jaramillo-Velez, Lisa Seccia
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The regularity of binomial edge ideals of graphs [PDF]
AUT Journal of Mathematics and Computing, 2020 In this paper, we study the Castelnuovo-Mumford regularity and the graded Betti numbers of the binomial edge ideals of some classes of graphs. Our special attention is devoted to a conjecture which asserts that the number of maximal cliques of a graph ...
Sara Saeedi Madani, Dariush Kiani
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Generalized binomial edge ideals of bipartite graphs [PDF]
Journal of Algebra, 2023 Connected bipartite graphs whose binomial edge ideals are Cohen--Macaulay have been classified by Bolognini et al. In this paper, we compute the depth, Castelnuovo--Mumford regularity, and dimension of the generalized binomial edge ideals of these graphs.
Yi-Huang Shen, G. Zhu
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Algebraic properties of binomial edge ideals of Levi graphs associated with curve arrangements [PDF]
Journal of Pure and Applied Algebra, 2023 In this article, we study algebraic properties of binomial edge ideals of Levi graphs associated with certain plane curve arrangements. Using combinatorial properties of Levi graphs, we discuss the Cohen-Macaulayness of binomial edge ideals of Levi ...
Rupam Karmakar +2 more
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Binomial Edge Ideals of Graphs [PDF]
The Electronic Journal of Combinatorics, 2012 We characterize all graphs whose binomial edge ideals have a linear resolution. Indeed, we show that complete graphs are the only graphs with this property. We also compute some graded components of the first Betti number of the binomial edge ideal of a graph with respect to the graphical terms.
Kiani, Dariush, Saeedi, Sara
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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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