The Importance of Being Proper - (In Clustered-Level Planarity and T-Level Planarity)

Clustered-Level Planarity is $\mathcal{NP}$-complete. Reduction focused on the i-th triple $\langle \alpha,\beta,\delta\rangle$

Abstract

In this paper we study two problems related to the drawing of level graphs, that is, $T$-Level Planarity and Clustered-Level Planarity. We show that both problems are $\mathcal{NP}$-complete in the general case and that they become polynomial-time solvable when restricted to proper instances.

Publication
Theoretical Computer Science

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