STABILITY INDEX OF DEPTH FUNCTIONS OF COVER IDEALS OF BIPARTITE GRAPHS

Abstract

Let G = (V (G); E(G)) be a bipartite graph over the vertex set V (G) = f1; : : : ; rg and J(G) be the cover ideal of G in the polynomial ring R = K[x1; : : : ; xr]. In this paper, we give a good bound for the index of depth stability of J(G).