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DEPTH AND STANLEY DEPTH OF THE EDGE IDEALS OF SOME m-LINE GRAPHS AND m-CYCLIC GRAPHS WITH A COMMON VERTEX [PDF]

open access: yesRomanian Journal of Mathematics and Computer Science, 2015
We give some precise formulas for the depth of the quotient rings of the edge ideals associated to a graph consisting, either of the union of some line graphs L_{3r_1}},...,L_{3r_{k_1}}, L_{3s_1+1}, ...,L_{3s_{k_2}+1} and L_{3t_1+2},...,L_{3t_{k_3}+2} or
GUANGJUN ZHU
doaj  

A NOTE ON MATCHINGS AND REGULARITY OF GRAPHS

open access: yesTạp chí Khoa học
Let 𝐺 be a simple graph. We introduce the notion of comb- match(𝐺), and prove that reg(𝐼(𝐺)) ≤ comb-match(𝐺)+1.
Dao Thi Thanh Ha
doaj   +1 more source

Depth and Stanley depth of the edge ideals of the powers of paths and cycles

open access: yesAnalele 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

Generalized binomial edge ideals

open access: yesAdvances in Applied Mathematics, 2013
6 pages.
openaire   +2 more sources

IDEAL-Cell, a High Temperature Innovative Dual mEmbrAne Fuel-Cell [PDF]

open access: yes, 2009
IDEAL-Cell is a new concept of a high temperature fuel cell operating in the range 600-700°C. It is based on the junction between the anode part of a PCFC and the cathode part of a SOFC through a mixed H+ and O2- conducting porous ceramic membrane.
Stoynov, Z.   +17 more
core   +1 more source

Regularity of second power of edge ideals

open access: yesپژوهش‌های ریاضی, 2022
Introduction ‎‎ The study of the minimal free resolution of homogenous ideals and their powers is an interesting and active area of research in commutative algebra.
Seyed Amin Seyed Fakhari
doaj  

Ideal acoustic quantum spin Hall phase in a multi-topology platform

open access: yesNature Communications, 2023
Here the authors investigate a comprehensive topological phase diagram of bilayer hexagonal acoustic lattice, including ideal quantum spin Hall phase with gapless helical edge states. They realize a broadband topological slow wave.
Xiao-Chen Sun   +5 more
doaj   +1 more source

On the binomial edge ideals of block graphs

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
We find a class of block graphs whose binomial edge ideals have minimal regularity. As a consequence, we characterize the trees whose binomial edge ideals have minimal regularity.
Chaudhry Faryal   +2 more
doaj   +1 more source

Cohen–Macaulayness for symbolic power ideals of edge ideals

open access: yesJournal 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

Swinburne Edge

open access: yes, 2023
Swinburne Edge is powered by the Centre for the New Workforce – the only research facility in Australia dedicated to the latest and best workforce innovation ...
Swinburne Edge
core   +1 more source

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