Results 31 to 40 of about 1,905,501 (295)

Waldschmidt constant of some classes of hypergraphs [PDF]

AUT Journal of Mathematics and Computing
In this paper, we present a formula for the Waldschmidt constant of edge ideals of some classes of hypergraphs. We also show that if $G$ is a simple graph with binomial edge ideal $J_G$, then the Waldschmidt constant of $J_G$ is always 2.
Iman Jahani, Shamila Bayati
doaj   +1 more source

Cohen-Macaulay and (S₂) Properties of the Second Power of Squarefree Monomial Ideals

Mathematics, 2019
We show that Cohen-Macaulay and (S 2 ) properties are equivalent for the second power of an edge ideal. We give an example of a Gorenstein squarefree monomial ideal I such that S / I 2 satisfies the Serre condition (S 2 ), but is ...
Do Trong Hoang, Giancarlo Rinaldo, Naoki Terai   +2 more
doaj   +1 more source

On The Binomial Edge Ideal of a Pair of Graphs [PDF]

The Electronic Journal of Combinatorics, 2013
We characterize all pairs of graphs $(G_1,G_2)$, for which the binomial edge ideal $J_{G_1,G_2}$ has linear relations. We show that $J_{G_1,G_2}$ has a linear resolution if and only if $G_1$ and $G_2$ are complete and one of them is just an edge. We also compute some of the graded Betti numbers of the binomial edge ideal of a pair of graphs with ...
Sara Saeedi Madani, Dariush Kiani
openaire   +3 more sources

Algebraic Algorithms for Even Circuits in Graphs

Mathematics, 2019
We present an algebraic algorithm to detect the existence of and to list all indecomposable even circuits in a given graph. We also discuss an application of our work to the study of directed cycles in digraphs.
Huy Tài Hà, Susan Morey
doaj   +1 more source

C4-free edge ideals [PDF]

Journal of Algebraic Combinatorics, 2012
The paper under review is inspired by the question of for which graphs do all powers of the edge ideals have linear resolutions. It is known (cf. \textit{D. Eisenbud} et al., [Compos. Math. 141, No. 6, 1460--1478 (2005; Zbl 1086.14044)] and \textit{H.T. Hà} and \textit{A. Van Tuyl} [J. Algebra 309, No. 1, 405--425 (2007; Zbl 1151.13017)]) that the edge
Nevo, Eran, Peeva, Irena
openaire   +1 more source

Software-Defined Heterogeneous Edge Computing Network Resource Scheduling Based on Reinforcement Learning

Applied Sciences, 2022
With the rapid development of wireless networks, wireless edge computing networks have been widely considered. The heterogeneous characteristics of the 6G edge computing network bring new challenges to network resource scheduling.
Yaofang Li, Bin Wu
doaj   +1 more source

The reconstruction conjecture and edge ideals

Discrete Mathematics, 2008
In this paper the authors take a new look at the Reconstruction Problem by trying to reconstruct from the deck of vertex-deleted subgraphs of \(G\) several algebraic properties of the edge ideal of \(G\), which is the ideal \(I(G)\) of the polynomial ring \(R=k[x_1,x_2,\ldots,x_n]\), generated by the square-free monomials \(x_ix_j\) where \(\{x_i,x_j\}\
Kia Dalili, Sara Faridi, Will Traves
openaire   +1 more source

The regularity of powers of edge ideals [PDF]

Journal of Algebraic Combinatorics, 2014
Accepted for publication in Journal of Algebraic ...
openaire   +2 more sources

Center Body Airfoil Design for Blended Wing Body Configuration [PDF]

Xibei Gongye Daxue Xuebao, 2018
To design the center-body airfoil of a blended wing body configuration, the aerodynamic effects of the symmetrical airfoil, trailing-edge reflexed airfoil, leading-edge loaded airfoil and leading-edge loaded plus trailing-edge reflexed airfoil are ...

doaj   +1 more source

Edge Center (archived) [PDF]

, 2015
Includes an image of the main page on this date and compressed file containing additional web pages.The Edge Center operates through the Naval Postgraduate School (NPS), with Professor Mark Nissen serving as Director.
Naval Postgraduate School, Naval Postgraduate School (U.S.)   +1 more
core   +2 more sources