IC-colorings and IC-indices of graphs
郭大衛教授東華大學應用數學系 下午 4:20–6:10 鴻經館 M327Given a graph G, a function f:V(G)→N is called a coloring of G.Let f be a coloring of G and let H be a subgraph of G, we define , and we let S(f)= fS (G). A coloring f of G is called an IC- coloring of G if for any integer k ∈ [1, fS (G) ] there is a connected subgraph H of G such that fS(H)= k. The IC-index of G, denoted by M(G), is defined to be
M(G)= max{S(f): f is an IC- coloring of G}.
In this talk, I will introduce some previous works about this problem.