عنوان	Componentwise linear symbolic powers of edge ideals and Minh's conjecture
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Symbolic power, componentwise linear, regularity, edge ideal
چکیده	In this paper, we study the componentwise linearity of symbolic powers of edge ideals. We propose the conjecture that all symbolic powers of the edge ideal of a cochordal graph are componentwise linear. This conjecture is verified for some families of cochordal graphs, including complements of block graphs and complements of proper interval graphs. As a corollary, Minh's conjecture is established for such families. Moreover, we show that $I(G)^{(2)}$ is componentwise linear, for any cochordal graph $G$.
پژوهشگران	آنتونینو فیکارا (نفر اول)، سمیه مرادی (نفر دوم)، تیم رومر (نفر سوم)