1 citations · 1 across the 3 of their papers we have counts for
3 papers
Castelnuovo-Mumford Regularity and Combinatorial Invariants of Trees
Ahtsham Ul Haq, Muhammad Usman Rashid, Muhammad Ishaq
This work establishes combinatorial bounds on the Castelnuovo-Mumford regularity of edge ideals for trees and their multi-whiskered variants. For a tree \( T \), we give bounds for…
Algebraic invariants of edge ideals of cubic circulant graphs
Bakhtawar Shaukat, Muhammad Ishaq, Ahtsham ul Haq +1
We obtain the exact values for depth and projective dimension and lower bounds for Stanley depth of the quotient rings of the edge ideals associated with all cubic circulant graphs…
Some algebraic invariants of the residue class rings of the edge ideals of perfect semiregular trees
Bakhtawar Shaukat, Ahtsham Ul Haq, Muhammad Ishaq
Let S be a polynomial algebra over a field. If I is the edge ideal of a perfect semiregular tree, then we give precise formulas for values of depth, Stanley depth, projective dimen…