Neighbor sum distinguishing total choice number of IC-planar graphs with restrictive conditions

A neighbor sum distinguishing (NSD) total coloring $ \phi $ of $ G $ is a proper total coloring such that $ \sum_{z\in E_{G}(u)\cup\{u\}}\phi(z)\neq\sum_{z\in E_{G}(v)\cup\{v\}}\phi(z) $ for each edge $ uv\in E(G) $. Pilśniak and Woźniak asserted that each graph with a maximum degree $ \Delta $ admi...

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Bibliographic Details
Main Authors: Fugang Chao, Donghan Zhang
Format: Article
Language:English
Published: AIMS Press 2023-04-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023692?viewType=HTML