Academic Journal

Neighbor sum distinguishing total choosability of triangle-free IC-planar graphs.

Bibliographic Details
Title: Neighbor sum distinguishing total choosability of triangle-free IC-planar graphs.
Authors: Fugang Chao, Chao Li, Donghan Zhang
Superior Title: ScienceAsia; Aug2023, Vol. 49 Issue 4, p584-587, 4p
Subject Terms: NEIGHBORS, LOGICAL prediction, TRIANGLES, PLANAR graphs
Abstract: A proper total coloring φ of G with ∑z∈EG(u)∪{u} φ(z) ≠ ∑ z∈EG(v)∪{v} φ(z) for each uv ∈ E(G) is called a neighbor sum distinguishing (NSD) total coloring. Pil´sniak and Wo∑niak conjectured that every graph with maximum degree ∆ exists an NSD total (∆+3)-coloring. In this paper, we improve the results of Song et al [ABSTRACT FROM AUTHOR]
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Database: Complementary Index
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