Results 41 to 50 of about 213,086 (270)
European Journal of American Studies, 2020 Contemporary feminist utopias make up an overlooked site for mining new masculinities amidst the current so-called crisis of masculinity in American culture.
Michael Pitts
doaj +1 more source
Cohen Macaulay Bipartite Graphs and Regular Element on the Powers of Bipartite Edge Ideals
Mathematics, 2019 In this article, we discuss new characterizations of Cohen-Macaulay bipartite edge ideals. For arbitrary bipartite edge ideals I ( G ) , we also discuss methods to recognize regular elements on I ( G ) s for all s ≥ 1 in ...
Arindam Banerjee, Vivek Mukundan
doaj +1 more source
Generalized binomial edge ideals
Advances in Applied Mathematics, 2013 This paper studies a class of binomial ideals associated to graphs with finite vertex sets. They generalize the binomial edge ideals, and they arise in the study of conditional independence ideals. A Gr bner basis can be computed by studying paths in the graph.
openaire +2 more sources
Cohen–Macaulayness for symbolic power ideals of edge ideals
Journal of Algebra, 2011 Let $S = K[x_1,..., x_n]$ be a polynomial ring over a field $K$. Let $I(G) \subseteq S$ denote the edge ideal of a graph $G$. We show that the $\ell$th symbolic power $I(G)^{(\ell)}$ is a Cohen-Macaulay ideal (i.e., $S/I(G)^{(\ell)}$ is Cohen-Macaulay) for some integer $\ell \ge 3$ if and only if $G$ is a disjoint union of finitely many complete graphs.
RINALDO, GIANCARLO +2 more
openaire +4 more sources
Depth and Stanley depth of the edge ideals of the powers of paths and cycles
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 Let k be a positive integer. We compute depth and Stanley depth of the quotient ring of the edge ideal associated to the kth power of a path on n vertices.
Iqbal Zahid, Ishaq Muhammad
doaj +1 more source
Stanley Depth of Edge Ideals of Some Wheel-Related Graphs
Mathematics, 2019 Stanley depth is a geometric invariant of the module and is related to an algebraic invariant called depth of the module. We compute Stanley depth of the quotient of edge ideals associated with some familiar families of wheel-related graphs.
Jia-Bao Liu +4 more
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
doaj +1 more source
Binomial edge ideals of regularity 3 [PDF]
Journal of Algebra, 2018 Let $J_G$ be the binomial edge ideal of a graph $G$. We characterize all graphs whose binomial edge ideals, as well as their initial ideals, have regularity $3$. Consequently we characterize all graphs $G$ such that $J_G$ is extremal Gorenstein. Indeed, these characterizations are consequences of an explicit formula we obtain for the regularity of the ...
Saeedi Madani, Sara, Kiani, Dariush
openaire +2 more sources
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
Symbolic powers of monomial ideals and Cohen-Macaulay vertex-weighted digraphs
, 2018 In this paper we study irreducible representations and symbolic Rees algebras of monomial ideals. Then we examine edge ideals associated to vertex-weighted oriented graphs.
A Simis +29 more
core +1 more source