Results 11 to 20 of about 1,905,501 (295)
The regularity of binomial edge ideals of graphs [PDF]
AUT Journal of Mathematics and Computing, 2020 In this paper, we study the Castelnuovo-Mumford regularity and the graded Betti numbers of the binomial edge ideals of some classes of graphs. Our special attention is devoted to a conjecture which asserts that the number of maximal cliques of a graph ...
Sara Saeedi Madani, Dariush Kiani
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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
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Comparing powers of edge ideals [PDF]
Journal of Algebra and Its Applications, 2019 Given a nontrivial homogeneous ideal [Formula: see text], a problem of great recent interest has been the comparison of the [Formula: see text]th ordinary power of [Formula: see text] and the [Formula: see text]th symbolic power [Formula: see text]. This comparison has been undertaken directly via an exploration of which exponents [Formula: see text ...
Janssen, Mike +2 more
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Squarefree Powers of Edge Ideals of Forests [PDF]
The Electronic Journal of Combinatorics, 2021 Let $I(G)^{[k]}$ denote the $k$th squarefree power of the edge ideal of $G$. When $G$ is a forest, we provide a sharp upper bound for the regularity of $I(G)^{[k]}$ in terms of the $k$-admissable matching number of $G$. For any positive integer $k$, we classify all forests $G$ such that $I(G)^{[k]}$ has linear resolution.
Nursel Erey, Takayuki Hibi
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Matching Numbers and Dimension of Edge Ideals [PDF]
Graphs and Combinatorics, 2021 Let $G$ be a finite simple graph on the vertex set $V(G) = \{x_{1}, \ldots, x_{n}\}$ and match$(G)$, min-match$(G)$ and ind-match$(G)$ the matching number, minimum matching number and induced matching number of $G$, respectively. Let $K[V(G)] = K[x_{1}, \ldots, x_{n}]$ denote the polynomial ring over a field $K$ and $I(G) \subset K[V(G)]$ the edge ...
Ayana Hirano, Kazunori Matsuda
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Licci binomial edge ideals [PDF]
Journal of Combinatorial Theory, Series A, 2020 We give a complete characterization of graphs whose binomial edge ideal is licci. An important tool is a new general upper bound for the regularity of binomial edge ideals.
Ene V., Rinaldo G., Terai N.
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Three-dimensional edge waves in plates [PDF]
, 2008 This paper describes the propagation of three-dimensional symmetric waves localized near the traction-free edge of a semi-infinite elastic plate with either traction-free or fixed faces.
Zernov, V, Kaplunov, JD
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Edge ideals of oriented graphs [PDF]
International Journal of Algebra and Computation, 2019 Let [Formula: see text] be a weighted oriented graph and let [Formula: see text] be its edge ideal. Under a natural condition that the underlying (undirected) graph of [Formula: see text] contains a perfect matching consisting of leaves, we provide several equivalent conditions for the Cohen–Macaulayness of [Formula: see text].
Huy Tài Hà +4 more
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Perception of the Most Esthetically Pleasing Incisal Embrasure Design
Journal of Gandhara Medical and Dental Sciences, 2022 OBJECTIVES: To determine the frequency of female dentate patients' most appealing incisal edge embrasure designs. METHODOLOGY: The sample consisted of 385 female dentate patients between 18 to 40 years of age visiting Sardar Begum Dental College ...
Amina Badshah, Mariya Khalid
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Edge Subcategories of the Edge Ideal of a Graph Simple and Local Cohomology Modules [PDF]
, 2020 This paper is concerned with the relation between local cohomology modules of a module defined by an ideal and the edge subcategories of the category of modules, together with the edge ideal of a graph simple and finite, with no isolated ...
A. Kharabsheh, Radwan +1 more
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