Linearity defect of edge ideals and Fröberg’s theorem
نویسندگان
چکیده
منابع مشابه
Binomial edge ideals and rational normal scrolls
Let $X=left( begin{array}{llll} x_1 & ldots & x_{n-1}& x_n\ x_2& ldots & x_n & x_{n+1} end{array}right)$ be the Hankel matrix of size $2times n$ and let $G$ be a closed graph on the vertex set $[n].$ We study the binomial ideal $I_Gsubset K[x_1,ldots,x_{n+1}]$ which is generated by all the $2$-minors of $X$ which correspond to the edges of $G.$ We show that $I_G$ is Cohen-Macaula...
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We characterize all graphs whose binomial edge ideals have a linear resolution. Indeed, we show that complete graphs are the only graphs with this property. We also compute some graded components of the first Betti number of the binomial edge ideal of a graph with respect to the graphical terms. Finally, we give an upper bound for the Castelnuovo-Mumford regularity of the binomial edge ideal of...
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let $x=left( begin{array}{llll} x_1 & ldots & x_{n-1}& x_n x_2& ldots & x_n & x_{n+1} end{array}right)$ be the hankel matrix of size $2times n$ and let $g$ be a closed graph on the vertex set $[n].$ we study the binomial ideal $i_gsubset k[x_1,ldots,x_{n+1}]$ which is generated by all the $2$-minors of $x$ which correspond to the edges of $g.$ we show that...
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ژورنال
عنوان ژورنال: Journal of Algebraic Combinatorics
سال: 2016
ISSN: 0925-9899,1572-9192
DOI: 10.1007/s10801-015-0662-6