Results 41 to 50 of about 1,905,501 (295)
DEPTH AND STANLEY DEPTH OF THE EDGE IDEALS OF SOME m-LINE GRAPHS AND m-CYCLIC GRAPHS WITH A COMMON VERTEX [PDF]
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
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
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Depth and Stanley depth of the edge ideals of the powers of paths and cycles
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
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Generalized binomial edge ideals
6 pages.
openaire +2 more sources
IDEAL-Cell, a High Temperature Innovative Dual mEmbrAne Fuel-Cell [PDF]
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
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Regularity of second power of edge ideals
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
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
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
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Cohen–Macaulayness for symbolic power ideals of edge ideals
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
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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
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