In the paper, we first introduce some structural properties of planar graphs and define some coloring of graph about vertices ( edge, or total) . Then we survey on some results of coloring of planar graphs, such as proper vertex coloring, vertex arboricity, linear vertex arboricity, equitable coloring, equitable vertex arboricity, acyclic coloring, proper edge coloring, acyclic edge coloring, strong edge coloring, ( p, q) edge labelling, adjacent vertex( sum) distinguishing edge( total) coloring, arboricity, linear arboricity, linear karboricity, total coloring and the list cases of these coloring etc.
WU Jian liang,YANG Dong lei,YANG Fan.
A survey on some coloring of planar graphs. Journal of Guangzhou University(Natural Science Edition). 2019, 18(5): 7