The r-Dynamic Chromatic Number of Planar Graphs Without Special Short Cycles

Author:

Bu Yuehua,Yang Ruiying,Zhu Hongguo

Publisher

Springer International Publishing

Reference12 articles.

1. Borodin, O.V., Broersma, H.J., Glebov, A., Heuvel, J.V.D.: Stars and bunches in planar graphs. Part II: General planar graphs and colourings. CDAM researches report 2002-05 (2002)

2. Bu, Y.H., Cao, J.J.: 2-distance coloring of planar graph. Discrete Appl. Math. 13, 2150007 (2021)

3. La, H., Montassier, M., Pinlou, A., et al.: r-hued (r+1)-coloring of planar graphs with girth at least 8 for r$$\ge 9$$. Eur. J. Comb. 91, 103219 (2021)

4. Montgomery, B.: Dynamic Coloring of Graphs. West Virginia University, Morgantwon (2001)

5. Song, H.M., Lai, H.J.: Upper bounds of r-hued colorings of planar graphs. Discrete Appl. Math. 243, 262–269 (2018)

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1. The r-dynamic chromatic number of planar graphs without 4-,5-cycles;Journal of Combinatorial Optimization;2023-01

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