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arXiv · 2405.12733

Upper bounds for the list-distinguishing chromatic number

Amitayu Banerjee·Zalán Molnár·Alexa Gopaulsingh
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Abstract

We prove analogs of Brooks' Theorem for the list-distinguishing chromatic number of different classes of simple finite connected graphs. Moreover, we determine two upper bounds for the list-distinguishing chromatic number of a graph G in terms of the coloring number of G and the list-chromatic number of G. We also determine the list-distinguishing chromatic number for various families of graphs (for example: the book graphs).

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Amitayu Banerjee, Zalán Molnár, Alexa Gopaulsingh. 2025-02-23. Upper bounds for the list-distinguishing chromatic number. https://doi.org/10.1007/s00373-025-02920-x

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