2 papers
math.CO2026
Contractible independence complexes of trees
My Hanh Pham, Thanh Vu
We show that the independence complex of a tree is contractible if and only if it can be reduced to a path \( P_n \) with \( n \equiv 1 \pmod{3} \) by a sequence of truncation move…
math.AC2025
Regularity of edge ideals of powers of graphs
My Hanh Pham, Thanh Vu
We prove that the regularity of edge ideals of powers of forests is weakly decreasing. We then compute the regularity of edge ideals of powers of cycles.