Extending Upward Planar Graph Drawings

The UPE-FUE problem is NP-complete. (Left) An instance $(G,\ell,\prec)$ of Partial Level Planarity with a prescribed upward embedding. (Center and right) An instance $(U,H,\Gamma_H)$ of UPE-FUE equivalent to $(G,\ell,\prec)$.

Abstract

In this paper we study the computational complexity of the Upward Planarity Extension problem, which takes in input an upward planar drawing $\Gamma_H$ of a subgraph $H$ of a directed graph $G$ and asks whether $\Gamma_H$ can be extended to an upward planar drawing of $G$. Our study fits into the line of research on the extensibility of partial representations, which has recently become a mainstream in Graph Drawing.
We show the following results.

Publication
Computational Geometry: Theory and Applications
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Giordano Da Lozzo
Assistant Professor (RTDb)

My research interests are in Algorithm Engineering and Complexity, focused in particular on the theoretical and algorithmic challenges arising from the visualization of graphs.

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