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Smoothness in Binomial Edge Ideals [PDF]
Mathematics, 2016 In this paper we study some geometric properties of the algebraic set associated to the binomial edge ideal of a graph. We study the singularity and smoothness of the algebraic set associated to the binomial edge ideal of a graph. Some of these algebraic
Hamid Damadi, Farhad Rahmati
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Some algebraic invariants of the edge ideals of perfect [h,d]-ary trees and some unicyclic graphs
AIMS Mathematics, 2023 This article is mainly concerned with computations of some algebraic invariants of quotient rings of edge ideals of perfect [h,d]-ary trees and unicyclic graphs. We compute exact values of depth and Stanley depth and consequently projective dimension for
Tazeen Ayesha, Muhammad Ishaq
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Values and bounds for depth and Stanley depth of some classes of edge ideals
AIMS Mathematics, 2021 In this paper we study depth and Stanley depth of the quotient rings of the edge ideals associated with the corona product of some classes of graphs with arbitrary non-trivial connected graph G.
Naeem Ud Din +2 more
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AIMS Mathematics, 2022 In this paper, we study depth and Stanley depth of the quotient rings of the edge ideals associated to triangular and multi triangular snake and triangular and multi triangular ouroboros snake graphs.
Malik Muhammad Suleman Shahid +3 more
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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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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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When Is a Graded Free Complex Exact?
Mathematics, 2022 Minimal free resolutions of a finitely generated module over a polynomial ring S=k[x], with variables x={x1,…,xn} and a field k have been extensively studied.
David C. Molano +2 more
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Perception of the Most Esthetically Pleasing Incisal Embrasure Design
Journal of Gandhara Medical and Dental Sciences, 2022 OBJECTIVES: To determine the frequency of female dentate patients' most appealing incisal edge embrasure designs. METHODOLOGY: The sample consisted of 385 female dentate patients between 18 to 40 years of age visiting Sardar Begum Dental College ...
Amina Badshah, Mariya Khalid
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, 2017 We recently showed how structures of ideal (thin) lenses can act as (ray-optical) transformation-optics devices. This was done by breaking the structure down into all sets of ideal lenses in the structure that share a common edge, and showing that these ...
Belin, Jakub +3 more
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IEEE Journal of the Electron Devices Society, 2022 Breakdown capability of ${\beta }$ -Ga2O3/GaN heterojunction-based vertical p-n power diodes with mesa edge termination (ET) was comprehensively investigated using TCAD simulation.
Dinusha Herath Mudiyanselage +2 more
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