Neighbor Product Distinguishing Total Colorings of Planar Graphs with Maximum Degree at least Ten

A proper [k]-total coloring c of a graph G is a proper total coloring c of G using colors of the set [k] = {1, 2, . . . , k}. Let p(u) denote the product of the color on a vertex u and colors on all the edges incident with u. For each edge uv ∈ E(G), if p(u) ≠ p(v), then we say the coloring c distin...

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Bibliographic Details
Main Authors: Dong Aijun, Li Tong
Format: Article
Language:English
Published: Sciendo 2021-11-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2221