Search Results - "BIERMANN, JENNIFER"

Bounds on the regularity of toric ideals of graphs by Biermann, Jennifer, O'Keefe, Augustine, Van Tuyl, Adam

“…Let G be a finite simple graph. We give a lower bound for the Castelnuovo–Mumford regularity of the toric ideal IG associated to G in terms of the sizes and…”
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Cellular Structure on the Minimal Resolution of the Edge Ideal of the Complement of the n-Cycle by Biermann, Jennifer

“…We study the minimal free resolution of the edge ideal of the complement of the n-cycle for n ≥ 4 and construct a regular cellular complex which supports this…”
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Algebraic invariants of weighted oriented graphs by Kara, Selvi, Biermann, Jennifer, Lin, Kuei Nuan, O’Keefe, Augustine

“…Let D be a weighted oriented graph and let I ( D ) be its edge ideal in a polynomial ring R . We give the formula of Castelnuovo–Mumford regularity of R / I (…”
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Effects of alterations in calcium homeostasis on apoptosis during neoplastic progression by PRESTON, G. A, BARRETT, J. C, BIERMANN, J. A, MURPHY, E

“…Our previous studies showed that early, stage I preneoplastic cells (sup+ I) are highly susceptible to apoptosis, whereas the later, stage II preneoplastic…”
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Reverse lex ideals by Biermann, Jennifer

“…We study reverse lex ideals in a polynomial ring, and compare their properties to those of lex ideals. In particular we provide an analogue of Green's Theorem…”
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Reduced Capacitative Calcium Entry Correlates with Vesicle Accumulation and Apoptosis by Jayadev, S, Petranka, J G, Cheran, S K, Biermann, J A, Barrett, J C, Murphy, E

“…A preneoplastic variant of Syrian hamster embryo cells, sup(+), exhibits decreased endoplasmic reticulum calcium levels and subsequently undergoes apoptosis in…”
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PARTIAL COLORING, VERTEX DECOMPOSABILITY, AND SEQUENTIALLY COHEN-MACAULAY SIMPLICIAL COMPLEXES by BIERMANN, JENNIFER, FRANCISCO, CHRISTOPHER A., HÀ, HUY TÀI, VAN TUYL, ADAM

“…In attempting to understand how combinatorial modifications alter algebraic properties of monomial ideals, several authors have investigated the process of…”
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Degree of $h$-polynomials of edge ideals by Biermann, Jennifer, Kara, Selvi, O'Keefe, Augustine, Skelton, Joseph, Sosa, Gabriel

“…In this paper, we investigate the degree of $h$-polynomials of edge ideals of finite simple graphs. In particular, we provide combinatorial formulas for the…”
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Down-left graphs and a connection to toric ideals of graphs by Biermann, Jennifer, Castellano, Beth Anne, Manivel, Marcella, Petrucelli, Eden, Van Tuyl, Adam

“…We introduce a family of graphs, which we call down-left graphs, and study their combinatorial and algebraic properties. We show that members of this family…”
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Toric Ideals of Weighted Oriented Graphs by Biermann, Jennifer, Kara, Selvi, Lin, Kuei-Nuan, O'Keefe, Augustine

“…Given a vertex-weighted oriented graph, we can associate to it a set of monomials. We consider the toric ideal whose defining map is given by these monomials…”
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The oncostatic action of melatonin in an ovarian carcinoma cell line by Petranka, John, Baldwin, William, Biermann, Jennifer, Jayadev, Supriya, Barrett, J. Carl, Murphy, Elizabeth

“…: Melatonin is reported to reduce proliferation in many cell types, but the effect is small and the results are inconsistent. Information on the mechanism by…”
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Algebraic invariants of weighted oriented graphs by Kara, Selvi, Biermann, Jennifer, Lin, Kuei-Nuan, O'Keefe, Augustine

“…Let $\mathcal{D}$ be a weighted oriented graph and let $I(\mathcal{D})$ be its edge ideal in a polynomial ring $R$. We give the formula of Castelnuovo-Mumford…”
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Betti numbers of symmetric shifted ideals by Biermann, Jennifer, De Alba, Hernán, Galetto, Federico, Murai, Satoshi, Nagel, Uwe, O'Keefe, Augustine, Römer, Tim, Seceleanu, Alexandra

“…Journal of Algebra, Volume 560, 15 October 2020, Pages 312-342 We introduce a new class of monomial ideals which we call symmetric shifted ideals. Symmetric…”
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Bounds on the regularity of toric ideals of graphs by Biermann, Jennifer, O'Keefe, Augustine, Van Tuyl, Adam

“…Let $G$ be a finite simple graph. We give a lower bound for the Castelnuovo-Mumford regularity of the toric ideal $I_G$ associated to $G$ in terms of the sizes…”
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Balanced vertex decomposable simplicial complexes and their h-vectors by Biermann, Jennifer, Van Tuyl, Adam

“…Given any finite simplicial complex \Delta, we show how to construct a new simplicial complex \Delta_{\chi} that is balanced and vertex decomposable. Moreover,…”
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Generalized cover ideals and the persistence property by Bhat, Ashwini, Biermann, Jennifer, Van Tuyl, Adam

“…Let $I$ be a square-free monomial ideal in $R = k[x_1,\ldots,x_n]$, and consider the sets of associated primes ${\rm Ass}(I^s)$ for all integers $s \geq 1$…”
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Partial coloring, vertex decomposability, and sequentially Cohen-Macaulay simplicial complexes by Biermann, Jennifer, Francisco, Christopher A, Hà, Huy Tài, Van Tuyl, Adam

“…In attempting to understand how combinatorial modifications alter algebraic properties of monomial ideals, several authors have investigated the process of…”
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