Results 101 to 110 of about 1,118,707 (279)
A study on binomial edge ideals [PDF]
, 2021 In this thesis, we study the binomial edge ideals associated with graphs. We review their reduced Gröber basis and minimal primary decompositions. Moreover, we also give an overview of recent results related to the depth, betti numbers, and regularity of
Atar, Büşra
core +1 more source
DEPTH AND STANLEY DEPTH OF THE EDGE IDEALS OF SOME m-LINE GRAPHS AND m-CYCLIC GRAPHS WITH A COMMON VERTEX [PDF]
Romanian Journal of Mathematics and Computer Science, 2015 We give some precise formulas for the depth of the quotient rings of the edge ideals associated to a graph consisting, either of the union of some line graphs L_{3r_1}},...,L_{3r_{k_1}}, L_{3s_1+1}, ...,L_{3s_{k_2}+1} and L_{3t_1+2},...,L_{3t_{k_3}+2} or
GUANGJUN ZHU
doaj
Graph connectivity and binomial edge ideals
Proceedings of the American Mathematical Society, 2016 We relate homological properties of a binomial edge ideal $\mathcal{J}_G$ to invariants that measure the connectivity of a simple graph $G$. Specifically, we show if $R/\mathcal{J}_G$ is a Cohen-Macaulay ring, then graph toughness of $G$ is exactly $\frac{1}{2}$.
Banerjee, Arindam +1 more
openaire +3 more sources
Molecular Oncology, EarlyView.The kinase SRPK1 directly interacts with the protein TOPBP1 and regulates the pre‐mRNA splicing of WIZ thereby contributing to the activation of the ATR/CHK1 replicative checkpoint in response to replicative stress. This allows cancer cells' genomic stability and survival.
Amani Shreim +17 more
wiley +1 more source
Atrocity Speech Law, by Gregory S. Gordon
Osgoode Hall Law Journal, 2018 Theoretical developments in the law are interesting things: They exist solely as ideals waiting to be actualized, but because the law is one of those fields where academic discourse regularly has a meaningful impact on courtrooms and legislatures, they ...
Sam Zucchi
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FEBS Open Bio, EarlyView.RoboMic is an automated confocal microscopy pipeline for high‐throughput functional imaging in living cells. Demonstrated with fluorescence recovery after photobleaching (FRAP), it integrates AI‐driven nuclear segmentation, ROI selection, bleaching, and analysis.
Selçuk Yavuz +6 more
wiley +1 more source
Homology and Combinatorics of Monomial Ideals
, 2022 This thesis is in combinatorial commutative algebra. It contains four papers, the first three of which concern homological properties and invariants of monomial ideals.
Orlich, Milo
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Raman‐based label‐free microscopic analysis of the pancreas in living zebrafish larvae
FEBS Open Bio, EarlyView.Forward stimulated Raman scattering (F‐SRS) and epi coherent anti‐Stokes Raman scattering (E‐CARS) allow label‐free discrimination of distinct subcellular structures in the pancreas of living zebrafish larvae. Given the straightforward applicability, we anticipate broad implementation of Raman microscopy in other organs and across various biomedical ...
Noura Faraj +3 more
wiley +1 more source
Local cohomology of binomial edge ideals and their generic ideals [PDF]
, 2019 We provide a Hochster type formula for the local cohomology modules of binomial edge ideals. As a consequence we obtain a simple criterion for the Cohen-Macaulayness of these ideals and we describe their Castelnuovo-Mumford regularity and their Hilbert ...
Álvarez Montaner, Josep
core +2 more sources
Edge Ideals: Algebraic and Combinatorial Properties [PDF]
, 2012 Let C be a clutter and let I(C) be its edge ideal. This is a survey paper on the algebraic and combinatorial properties of R/I(C) and C, respectively. We give a criterion to estimate the regularity of R/I(C) and apply this criterion to give new proofs of some formulas for the regularity.
Morey, Susan, Villarreal, Rafael H.
openaire +2 more sources