Results 81 to 90 of about 1,118,707 (279)
Cohen-Macaulay binomial edge ideals [PDF]
Nagoya Mathematical Journal, 2011 Abstract We study the depth of classes of binomial edge ideals and classify all closed graphs whose binomial edge ideal is Cohen-Macaulay.
Ene, Viviana +2 more
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Chiral separation of chloroalkanes with the chromatographic column onboard Martian rovers
FEBS Letters, EarlyView.Computer image of the Rosalind Franklin Rover of ESA's ExoMars mission. ExoMars is scheduled to land on planet Mars in Oxia Planum in 2029. This area represents an interesting spot to look for biosignatures. Investigations of ExoMars include measurement on molecular chirality. We show that chiral chloroalkanes, that have been identified on Mars, can be
Asma Merzougui +4 more
wiley +1 more source
Some results on domination in annihilating-ideal graphs of commutative rings [PDF]
Journal of Hyperstructures. Let R be a commutative ring with identity and A(R) be the set of all ideals of R with non-zero annihilators. The annihilating-ideal graph of R is defined as the graph AG(R) with the vertex set A∗(R) = A(R)\{(0)} and two distinct vertices I and J are ...
Reza Taheri
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Symbolic powers of edge ideals
Journal of Algebra, 2004 Given a (finite simple) graph \(G\) with vertex set \(\{X_1,\dots, X_n\}\), a set of indeterminates generating the polynomial ring \(R= k[X_1,\dots, X_r]\), the ideal \(I(G)= (\{X_iX_j|\, X_i\) adjacent to \(X_j\})\) and the ring \(R/I(G)\) becomes of interest in the setting of commutative algebra/algebraic geometry as well as graph theory, since it is
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Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
Molecular Oncology, EarlyView.This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley +1 more source
Normal edge ideals of edge-weighted graphs [PDF]
We classify all normal edge ideals of edge-weighted ...
Vu, Thanh, Zhu, Guangjun
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Some Remarks on the Annihilating-Ideal Graph of Commutative Ring with Respect to an Ideal [PDF]
Mathematics Interdisciplinary ResearchThe graph $ AG ( R ) $ {of} a commutative ring $R$ with identity has an edge linking two unique vertices when the product of the vertices equals {the} zero ideal and its vertices are the nonzero annihilating ideals of $R$.The annihilating-ideal graph ...
Zahra Mahmudiankoruie +1 more
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Molecular Oncology, EarlyView.RNA profiling of circulating extracellular vesicles (EVs) from blood samples of men undergoing prostate biopsy identifies transcripts associated with clinically significant prostate cancer. Integrative analysis with public tumor datasets links EV‐derived gene signatures to tumor stage and progression‐free survival, highlighting CASP3, XRCC2, and RIT1 ...
Stefan Werner +14 more
wiley +1 more source
ALGEBRAIC PROPERTIES OF EDGE IDEALS [PDF]
, 2008 Given a simple graph G, the corresponding edge ideal IG is the ideal generated by the edges of G. In 2007, Ha and Van Tuyl demonstrated an inductive procedure to construct the minimal free resolution of certain classes of edge ideals.
Bouchat, Rachelle R.
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ON THE STANLEY DEPTH OF EDGE IDEALS OF LINE AND CYCLIC GRAPHS
Romanian Journal of Mathematics and Computer Science, 2015 We prove that the edge ideals of line and cyclic graphs and their quotient rings satisfy the Stanley conjecture. We compute the Stanley depth for the quotient ring of the edge ideal associated to a cycle graph of length n, given a precise formula for n ≡
MIRCEA CIMPOEAS
doaj