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arXiv · 2601.01734

The point-thicknesses of complete multipartite graphs

Wenzhong Liu·Wangkai Zhang
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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.

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Wenzhong Liu, Wangkai Zhang. 2026-02-21. The point-thicknesses of complete multipartite graphs. https://arxiv.org/abs/2601.01734

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