Wang, Hui Juan et Wu, Jian Liang, A note on list edge and list total coloring of planar graphs without adjacent short cycles, Acta mathematica Sinica. English series (Print) , 30(1), 2014, pp. 91-96
Let G be a planar graph with maximum degree .. In this paper, we prove that if any 4-cycle is not adjacent to an i-cycle for any i . {3, 4} in G, then the list edge chromatic number x l . (G) = . and the list total chromatic number x l . (G) = .+1.