Zobrazeno 1 - 10
of 243
pro vyhledávání: '"Mafi, Amir"'
Let $R=K[x_1,\ldots,x_n]$ denote the polynomial ring in $n$ variables over a field $K$ and $I$ be a polymatroidal ideal of $R$. In this paper, we provide a comprehensive classification of all unmixed polymatroidal ideals. This work addresses a questi
Externí odkaz:
http://arxiv.org/abs/2407.20527
Let $R=K[x_1,\ldots,x_n]$ be a polynomial ring in $n$ variables over a field $K$ and $I$ be a matroidal ideal of degree $d$. Let $\astab(I)$ and $\dstab(I)$ be the smallest integers $l$ and $k$, for which $\Ass(I^l)$ and $\depth(R/I^k)$ stabilize, re
Externí odkaz:
http://arxiv.org/abs/2308.14019
Autor:
Koolani, Mozhgan, Mafi, Amir
Publikováno v:
Transactions on Combinatorics 2024
Let $R=K[x_1,\ldots,x_n]$ be the polynomial ring in $n$ variables over a field $K$. We show that if $G$ is a connected graph with a basic $5$-cycle $C$, then $G$ is a sequentially Cohen-Macaulay graph if and only if there exists a shedding vertex $x$
Externí odkaz:
http://arxiv.org/abs/2308.04979
Autor:
Fløystad, Gunnar, Mafi, Amir
We show that any polarization of an artin monomial ideal defines a triangulated ball. This proves a conjecture of A.Almousa, H.Lohne and the first author. Geometrically, polarizations of ideals containing $(x_1^{a_1}, \ldots, x_n^{a_n})$ define full-
Externí odkaz:
http://arxiv.org/abs/2212.09528
In this paper we study the quasi-forest simplicial complexes and we define the concept of simplicial $k$-cycle (denoted by $\mathcal{S}_k$) and simplicial $k$-point (denoted by $\mathcal{P}_k$). We show that a simplicial complex $\Delta$ is quasi-for
Externí odkaz:
http://arxiv.org/abs/2206.03704
Let $I(G)$ be the edge ideal of a graph $G$ with $|V(G)|=n$ and $R=\mathbb{K}[x\mid x\in V(G)]$ be a polynomial ring in $n$ variables over a field $\mathbb{K}$. In this paper we are interested in a conjecture of Eliahou and Villarreal which states th
Externí odkaz:
http://arxiv.org/abs/2205.07059
Autor:
Mafi, Amir, Saremi, Hero
Let $R=K[x_1,\ldots, x_n]$ be the polynomial ring in $n$ variables over a field $K$ and $I$ be a monomial ideal of degree $d\leq 2$. We show that $(I^{k+1}:I)=I^k$ for all $k\geq 1$ and we disprove a motivation question that was appeared in \cite[Que
Externí odkaz:
http://arxiv.org/abs/2202.05319
There are two motivation questions in \cite{MTS, MTS1} about Castelnuovo-Mumford regularity and vertex decomposable of simple graph $G$. In this paper, we disprove the questions by providing of two counterexamples.
Comment: 6 pages. to appear in
Comment: 6 pages. to appear in
Externí odkaz:
http://arxiv.org/abs/2201.09925
Let $K$ be a field and $R=K[x_1,\ldots, x_n]$ be the polynomial ring in $n$ variables over a field $K$. Let $\Delta$ be a simplicial complex on $n$ vertices and $I=I_{\Delta}$ be its Stanley-Reisner ideal. In this paper, we show that if $I$ is a matr
Externí odkaz:
http://arxiv.org/abs/2201.06756
Autor:
Mafi, Amir, Naderi, Dler
In this paper we study almost Cohen-Macaulay bipartite graphs. Furthermore, we prove that if $G$ is almost Cohen-Macaulay bipartite graph with at least one vertex of positive degree, then there is a vertex of $\deg(v) \leq 2$. In particular, if $G$ i
Externí odkaz:
http://arxiv.org/abs/2112.10062