Research articles
ScienceAsia 49 (2023):ID 584-587 |doi:
10.2306/scienceasia1513-1874.2023.022
Neighbor sum distinguishing total choosability of triangle-free
IC-planar graphs
Fugang Chao, Chao Li*, Donghan Zhang
ABSTRACT: A proper total coloring ? of G with P
z?EG(u)?{u} ?(z) 6=
P
z?EG(v)?{v} ?(z) for each uv ? E(G) is called a
neighbor sum distinguishing (NSD) total coloring. Pil?sniak and Wo?zniak conjectured that every graph with maximum
degree ? exists an NSD total (?+3)-coloring. In this paper, we improve the results of Song et al [Acta Math Sin (Engl
Ser) 36(2020):292?304] to the list version by applying the combinatorial nullstellensatz.
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School of Mathematics and Computer Application, Shangluo University, Shangluo 726000 China |
* Corresponding author, E-mail: lichao_math@163.com
Received 21 Feb 2022, Accepted 13 Jan 2023
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