SEFE

Planarity of Streamed Graphs

In this research we introduce a notion of planarity for graphs that are presented in a streaming fashion. A streamed graph is a stream of edges $e_1,e_2,\dots,e_m$ on a vertex set $V$. A streamed graph is $\omega$-stream planar with respect to a …

Advancements on SEFE and Partitioned Book Embedding problems

In this work we investigate the complexity of some combinatorial problems related to the Simultaneous Embedding with Fixed Edges (SEFE) and the PARTITIONED T-COHERENT $k$-PAGE BOOK EMBEDDING (PTBE-$k$) problems, which are known to be equivalent under …

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

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 …

On Some NP-complete SEFE Problems

In this work we investigate the complexity of some combinatorial problems related to the Simultaneous Embedding with Fixed Edges (SEFE) and the PARTITIONED T-COHERENT $k$-PAGE BOOK EMBEDDING (PTBE-$k$) problems, which are known to be equivalent under …