Results 51 to 60 of about 1,118,707 (279)
Level and pseudo-Gorenstein binomial edge ideals
, 2023 We prove that level binomial edge ideals with regularity 2 and pseudo-Gorenstein binomial edge ideals with regularity 3 are cones, and we describe them completely. Also, we characterize level and pseudo-Gorenstein binomial edge ideals of bipartite graphs.
Rinaldo, Giancarlo +3 more
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Waldschmidt constant of some classes of hypergraphs [PDF]
AUT Journal of Mathematics and ComputingIn this paper, we present a formula for the Waldschmidt constant of edge ideals of some classes of hypergraphs. We also show that if $G$ is a simple graph with binomial edge ideal $J_G$, then the Waldschmidt constant of $J_G$ is always 2.
Iman Jahani, Shamila Bayati
doaj +1 more source
Multi-Objective Path Planning for Autonomous Robots Using Reconfigurable Analog VLSI
IEEE Access, 2020 This paper presents a Multi-Objective path planning approach using reconfigurable Analog-Very-Large-Scale-Integrated (AVLSI) circuits. It is significant because it is the first example of floating-gate based analog resistive grid circuits used for Multi ...
Scott Koziol
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Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
FEBS Letters, EarlyView.Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley +1 more source
Edge ideals of squares of trees
Osaka Journal of Mathematics, 2020 We describe all the trees with the property that the corresponding edge ideal of the square of the tree has a linear resolution. As a consequence, we give a complete characterization of those trees $T$ for which the square is co-chordal, that is the complement of the square, $(T^2)^c$, is a chordal graph.
openaire +3 more sources
FEBS Letters, EarlyView.Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
wiley +1 more source
Dominating Vertex Extensions and Higher Homological Shift Ideals of Edge Ideals
MathematicsLet G be a finite simple graph, let I(G) denote its edge ideal, and let m be the homogeneous maximal ideal of the corresponding polynomial ring. We introduce the notion of shadow-compatible regular powers: for every p,q≥0 with p+q>0, the mixed ideal mpI ...
Tabinda Rasheed, Sania Asif, Yao Wang
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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
doaj +1 more source
Regularity of symbolic powers of edge ideals [PDF]
Journal of Pure and Applied Algebra, 2020 Corrected some gaps in the proof of the earlier version. To appear in J.
Jayanthan, A. V., Kumar, Rajiv
openaire +2 more sources
Fitting ideals and module structure [PDF]
, 2002 Let R be a commutative ring with a 1. Original work by H. Fitting showed how we can associate to each finitely generated E-module a unique sequence of R-ideals, which are known as Fitting Ideals. The aim of this thesis is to undertake an investigation of
Grime, Peter John
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