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pro vyhledávání: '"Cui, Yijun"'
This paper gives exact formulas for the regularity of powers of edge ideals of an edge-weighted integrally closed cycle.
Comment: arXiv admin note: text overlap with arXiv:2403.03609, arXiv:2401.02111
Comment: arXiv admin note: text overlap with arXiv:2403.03609, arXiv:2401.02111
Externí odkaz:
http://arxiv.org/abs/2407.05077
This paper presents exact formulas for the regularity and depth of powers of edge ideals of an edge-weighted star graph. Additionally, we provide exact formulas for the regularity of powers of the edge ideal of an edge-weighted integrally closed path
Externí odkaz:
http://arxiv.org/abs/2401.02111
Let $G$ be a finite simple graph with the vertex set $V$ and let $I_G$ be its edge ideal in the polynomial ring $S=\mathbb{K}[x_V]$. In this paper, we compute the depth and the Castelnuovo--Mumford regularity of $S/I_G$ when $G=G_1\circ G_2$ or $G=G_
Externí odkaz:
http://arxiv.org/abs/2309.13568
Let $G_\omega$ be an edge-weighted simple graph. In this paper, we give a complete characterization of the graph $G_\omega$ whose edge ideal $I(G_\omega)$ is integrally closed. We also show that if $G_\omega$ is an edge-weighted star graph, a path or
Externí odkaz:
http://arxiv.org/abs/2308.06016
Let $G$ be a finite simple graph on the vertex set $V$ and let $I_G$ denote its edge ideal in the polynomial ring $S=\mathbb{K}[x_V]$. In this paper, we compute the depth and the Castelnuovo--Mumford regularity of $S/I_G$ when $G=F_{k}^{W}(K_n)$ is a
Externí odkaz:
http://arxiv.org/abs/2308.06010
Reconfigurable intelligent surface (RIS) is a new technique that is able to manipulate the wireless environment smartly and has been exploited for assisting the wireless communications, especially at high frequency band. However, it suffers from hard
Externí odkaz:
http://arxiv.org/abs/2304.06388
In this paper, we describe primary decomposition of the edge ideal of the join of some graphs in terms of that information of the edge ideal of every weighted oriented graph. Meanwhile, we also study depth and regularity of symbolic powers and ordina
Externí odkaz:
http://arxiv.org/abs/2209.06649
Autor:
Cui, Yijun
Publikováno v:
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Thesis (Ph.D.)--UCLA, 2007.
Vita. Includes bibliographical references (leaves 135-145).
Vita. Includes bibliographical references (leaves 135-145).
Let $L_n$ be a line graph with $n$ edges and $\F(L_n)$ the facet ideal of its matching complex. In this paper, we provide the irreducible decomposition of $\F(L_n)$ and some exact formulas for the projective dimension and the regularity of $\F(L_n)$.
Externí odkaz:
http://arxiv.org/abs/2108.04296
An equigenerated monomial ideal $I$ is a Freiman ideal if $\mu(I^2)=\ell(I)\mu(I)-{\ell(I)\choose 2}$ where $\ell(I)$ is the analytic spread of $I$ and $\mu(I)$ is the least number of monomial generators of $I$. Freiman ideals are special since there
Externí odkaz:
http://arxiv.org/abs/2107.05435