Results 31 to 40 of about 38,270 (230)
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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Binomial edge ideals of generalized block graphs [PDF]
International Journal of Algebra and Computation, 2020 We classify generalized block graphs whose binomial edge ideals admit a unique extremal Betti number. We prove that the Castelnuovo–Mumford regularity of binomial edge ideals of generalized block graphs is bounded below by [Formula: see text], where [Formula: see text] is the number of minimal cut sets of the graph [Formula: see text] and obtain an ...
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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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A combinatorial characterization of $S_2$ binomial edge ideals
, 2023 Several algebraic properties of a binomial edge ideal $J_G$ can be interpreted in terms of combinatorial properties of its associated graph $G$. In particular, the so-called cut sets of a graph $G$, special sets of vertices that disconnect $G$ in a minimal way, play an important role since they are in bijection with the minimal prime ideals of $J_G ...
Bolognini D. +3 more
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Glioma recurrence severely impacts patient prognosis, with current treatments showing limited efficacy. Traditional methods struggle to analyze recurrence mechanisms due to challenges in assessing tumor heterogeneity, spatial dynamics, and gene networks.
Lei Qiu +10 more
wiley +1 more source
Arthritis Care &Research, EarlyView.Objective This study aims to develop hip morphology‐based radiographic hip osteoarthritis (RHOA) risk prediction models and investigates the added predictive value of hip morphology measurements and the generalizability to different populations. Methods We combined data from nine prospective cohort studies participating in the Worldwide Collaboration ...
Myrthe A. van den Berg +26 more
wiley +1 more source
Chromatin Topology Reconfiguration Orchestrates Thermotolerant Male Fertility via GhAL5 in Cotton
Advanced Science, EarlyView.This study investigates cotton’s high‐temperature (HT) response using multi‑omics. Dynamic 3D genome changes drive expression bias affecting male fertility. The tolerant line shows controlled chromatin dynamics, while the sensitive line exhibits overactivation.
Yanlong Li +15 more
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The regularity of binomial edge ideals of graphs [PDF]
, 2013 We prove two recent conjectures on some upper bounds for the Castelnuovo-Mumford regularity of the binomial edge ideals of some different classes of graphs.
Dariush Kiani, Saeedi Madani, Sara
core
Binomial Edge Ideals of Weakly Closed Graphs
International Mathematics Research Notices, 2022 Abstract Closed graphs have been characterized by Herzog et al. as the graphs whose binomial edge ideals have a quadratic Gröbner basis with respect to a diagonal term order. In this paper, we focus on a generalization of closed graphs, namely weakly closed graphs (or co-comparability graphs).
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PARPi Combining Nanoparticle LIN28B siRNA for the Management of Malignant Ascites
Advanced Science, EarlyView.This study demonstrates that co‐inhibition of LIN28B and PARP using siLin28b/DSSP@lip‐PEG‐FA nanoparticles in combination with the PARP inhibitor BMN673 effectively suppresses the accumulation of malignant ascites associated with advanced cancers.
Yan Fang +13 more
wiley +1 more source