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arXiv · 2607.25682

On t-colorable k-plane drawings

Miriam Goetze·Michael Kaufmann·Soeren Terziadis
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Abstract

In this work, we introduce $t$-colorable $k$-plane drawings, that is, drawings of graphs with a $t$-edge-coloring where every edge is crossed by at most $k$ edges of each color. We give tight upper bounds on the edge- and crossing density for small values of $t$ and $k$ and show that the recognition of such drawings is NP-complete if $t\geq 2$ and $k\geq1$.

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Miriam Goetze, Michael Kaufmann, Soeren Terziadis. 2026-07-28. On t-colorable k-plane drawings. https://arxiv.org/abs/2607.25682

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