  Reed Conjecture is open for more than 20 years now. Here we prove that Reed
Conjecture is valid for (1) {P4UnionK1, Kite}-free graphs (2) {Chair,
Kite}-free graphs (3) {K2UnionK2complement , H}-free graphs and (4) {2K2,
M}-free graphs where H and M are graphs on six vertices each. Reed conjecture
is still open in general.
