A New Sufficient Condition on γ(G)=i(G) for 3-γ-critical Graphs
Hongbo Hua · Hu'nan Shifan Daxue xuebao. Ziran kexue ban · 2003
Sumner and Blitch~() defined a graph G to be k-γ- critical if γ(G)=k and γ(G+xy)=k-1 for each pair x,y of nonadjacent vertices of G, and conjectured that γ(G)=i(G) for 3-γ- critical graphs. A sufficient condition on γ(G)=i(G) for 3-γ- critical graphs is given in . In this paper, we give another sufficient condition on γ(G)=i(G) for 3-γ- critical graphs which improved in part the result in .