On the 7-total-colorability of plane graphs with maximum degree 6 without 5-cycles and adjacent 4-cycles
Zhang Jingwen · Journal of Zhejiang Normal University · 2011
By using the discharging method,it was proved that plane graphs with maximum degree 6 and without 5-cycles and adjacent 4-cycles were 7-totally-colorable.This improved the known results in literatures.