We use local cohomology to compute dimension and depth of
monomial edge ideals of line and cycle graphs. In both cases we computed projective dimension as an application.
Sohail Zafar, Zohaib Zahid, Adnan Aslam. (2015) Dimension and Depth of Monomial Edge Ideals of Line Graphs and Cycles by using Local Cohomology, , Volume 47, Issue 2.