2 papers
math.AC2023
Cohen-Macaulay edge-weighted graphs of girth or greater
Truong Thi Hien
Let be an edge-weighted graph whose underlying graph is . In this paper, we enlarge the class of Cohen-Macaulay edge-weighted graphs by classifying completely them w…
math.AC2023
Depth of powers of edge ideals of Cohen-Macaulay trees
Nguyen Thu Hang, Truong Thi Hien, Thanh Vu
Let be the edge ideal of a Cohen-Macaulay tree of dimension over a polynomial ring . We prove that for all , $$\op…