References
- J.A. Bondy and U.S.R.L. Murty. Graph Theory, Graduate Texts in mathematics, Vol. 244, Springer, New York, 2008.
- M. Chen and A. Raspaud, On (3,1)∗-choosability of planar graphs without adjacent short cycles, Discrete Appl. Math. 165 (2014), pp. 159–166.
- M. Chen, A. Raspaud, and W. Wang, A (3,1)∗-choosable theorem on planar graphs, J. Comp. Optim. 32 (2016), pp. 927–940.
- L. Cowen, R. Cowen, and D. Woodall, Defective colorings of graphs in surface: partitions into subgraphs of bounded valency, J. Graph Theory 10 (1986), pp. 187–195.
- W. Cushing and H.A. Kierstead, Planar graphs are (4,1)∗-choosable, Eur. J. Combin. 31 (2009), pp. 1385–1397.
- W. Dong and B. gang, A note on list improper coloring plane graphs, Discrete Appl. Math. 157 (2009), pp. 433–436.
- Z. Dvořák and L. Postle, Correspondence coloring and its application to list-coloring planar graphs without cycles of lengths 4 to 8, J. Comb. Theory Ser. B. 129 (2018), pp. 38–54.
- S-J. Kim, R. Liu, and G. Yu, Planar graphs without 7-cycles and butterfiles are DP-4-colorable, Discrete Math. 343 (2020), pp. 111714.
- S-J. Kim and K. Ozeki, A sufficient condition for DP-4-colorability, Discrete Math. 341 (2018), pp. 1983–1986.
- S-J. Kim and X. Yu, Planar graphs without 4-cycles adjacent to triangles are DP-4-colorable, Graph and Combinatorics 35 (2019), pp. 707–718.
- K. Lih, Z. Song, W. Wang, and K. Zhang, A note on list improper coloring planar graphs, Appl. Math. Lett. 14 (2001), pp. 269–273.
- R. Liu and X. Li, Every planar graphs without 4-cycles adjacent to two triangles are DP-4-colorable, Discrete Math. 342 (2019), pp. 623–627.
- R. Liu, S. Loeb, M. Rolek, Y. Yin, and G. Yu, DP-3-coloring of planar graphs without 4, 9-cycles and cycles of two lengths from {6,7,8}, Graphs and Combin. 35 (2019), pp. 695–705.
- R. Liu, S. Loeb, Y. Yin, and G. Yu, DP-3-coloring of some planar graphs, Discrete Math. 342 (2019), pp. 178–189.
- M. Rao and T. Wang. DP-3-coloring of planar graphs without certain cycles, preprint (2020) Available at arXiv:2001.00298.
- P. Sittitrai and K. Nakprasit, Sufficient conditions on planar graphs to have a relaxed DP-3-colorability, Graphs and Combinatorics 35 (2019), pp. 837–845.
- B. Xu and H. Zhang, Every torodial graph without adjacent triangles is (4,1)∗-choosable, Discrete Appl. Math. 155 (2007), pp. 74–78.
- L. Zhang, A (3,1)∗-choosable theorem on toroidal graphs, Discrete Appl. Math. 160 (2012), pp. 332–338.