The point-thicknesses of complete multipartite graphs

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Authors: Wenzhong Liu, Wangkai Zhang
Cited by: 0

Abstract

The point-thickness $θ'(G)$ of a graph $G$ is the minimum number of subsets into which the vertex set $V(G)$ of $G$ is partitioned such that each subset induces a planar subgraph. In this paper, we determine the point-thickness of complete multipartite graphs. As a special case, we also obtain the point-thickness of complete graphs.

Fields of Study & Subjects

Advanced Graph Theory Research Limits and Structures in Graph Theory Computational Geometry and Mesh Generation

Publication details

Journal / source
arXiv (Cornell University)
Publication date
5 January 2026
Document type
Preprint