Results 51 to 60 of about 1,161,259 (282)
Let $S=K[x_1,\dots,x_n]$ be the polynomial ring over a field $K$ and $I\subset S$ be a squarefree monomial ideal generated in degree $n-2$. Motivated by the remarkable behavior of the powers of $I$ when $I$ admits a linear resolution, as established in [11], in this work we investigate the algebraic and homological properties of $I$ and its powers.
Ficarra, Antonino, Moradi, Somayeh
openaire +4 more sources
Regularity of second power of edge ideals
پژوهشهای ریاضی, 2022 Introduction The study of the minimal free resolution of homogenous ideals and their powers is an interesting and active area of research in commutative algebra.
Seyed Amin Seyed Fakhari
doaj
Ideal acoustic quantum spin Hall phase in a multi-topology platform
Nature Communications, 2023 Here the authors investigate a comprehensive topological phase diagram of bilayer hexagonal acoustic lattice, including ideal quantum spin Hall phase with gapless helical edge states. They realize a broadband topological slow wave.
Xiao-Chen Sun +5 more
doaj +1 more source
Matchings, coverings, and Castelnuovo-Mumford regularity
, 2014 We show that the co-chordal cover number of a graph G gives an upper bound for the Castelnuovo-Mumford regularity of the associated edge ideal. Several known combinatorial upper bounds of regularity for edge ideals are then easy consequences of covering ...
Woodroofe, Russ
core +1 more source
Time after time – circadian clocks through the lens of oscillator theory
FEBS Letters, EarlyView.Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo +2 more
wiley +1 more source
On the binomial edge ideals of block graphs
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 We find a class of block graphs whose binomial edge ideals have minimal regularity. As a consequence, we characterize the trees whose binomial edge ideals have minimal regularity.
Chaudhry Faryal +2 more
doaj +1 more source
Regularity and $h$-Polynomials of Edge Ideals [PDF]
The Electronic Journal of Combinatorics, 2019 For any two integers $d,r \geqslant 1$, we show that there exists an edge ideal $I(G)$ such that ${\rm reg}\left(R/I(G)\right)$, the Castelnuovo-Mumford regularity of $R/I(G)$, is $r$, and $\deg h_{R/I(G)}(t)$, the degree of the $h$-polynomial of $R/I(G)$, is $d$.
Takayuki Hibi +2 more
openaire +3 more sources
The newfound relationship between extrachromosomal DNAs and excised signal circles
FEBS Letters, EarlyView.Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley +1 more source
Construction of Cohen–Macaulay Binomial Edge Ideals [PDF]
Communications in Algebra, 2013 We discuss algebraic and homological properties of binomial edge ideals associated to graphs which are obtained by gluing of subgraphs and the formation of cones.
Rauf A., RINALDO, GIANCARLO
openaire +3 more sources
FEBS Letters, EarlyView.Cryptochrome and PAS/LOV proteins play intricate roles in circadian clocks where they act as both sensors and mediators of protein–protein interactions. Their ubiquitous presence in signaling networks has positioned them as targets for small‐molecule therapeutics. This review provides a structural introduction to these protein families.
Eric D. Brinckman +2 more
wiley +1 more source