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20102026
most citedAn annotated bibliography on 1-planarity

96 citations · 329 across the 48 of their papers we have counts for

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Showing 2017Show all

9 papers · 1 filter

cs.DC2017

GiViP: A Visual Profiler for Distributed Graph Processing Systems

Alessio Arleo, Walter Didimo, Giuseppe Liotta +1

Analyzing large-scale graphs provides valuable insights in different application scenarios. While many graph processing systems working on top of distributed infrastructures have b…

cs.CG2017

On the Edge-length Ratio of Outerplanar Graphs

Sylvain Lazard, William Lenhart, Giuseppe Liotta

We show that any outerplanar graph admits a planar straightline drawing such that the length ratio of the longest to the shortest edges is strictly less than 2. This result is tigh…

cs.CG2017★ 1 cited

Colored Point-set Embeddings of Acyclic Graphs

Emilio Di Giacomo, Leszek Gasieniec, Giuseppe Liotta +1

We show that any planar drawing of a forest of three stars whose vertices are constrained to be at fixed vertex locations may require edges each having $Ω(n^\fra…

cs.DS2017

NodeTrix Planarity Testing with Small Clusters

Emilio Di Giacomo, Giuseppe Liotta, Maurizio Patrignani +2

We study the NodeTrix planarity testing problem for flat clustered graphs when the maximum size of each cluster is bounded by a constant . We consider both the case when the sid…

cs.DM2017

Beyond Outerplanarity

Steven Chaplick, Myroslav Kryven, Giuseppe Liotta +2

We study straight-line drawings of graphs where the vertices are placed in convex position in the plane, i.e., \emph{convex drawings}. We consider two families of graph classes wit…

cs.DM2017

New Results on Edge Partitions of 1-plane Graphs

Emilio Di Giacomo, Walter Didimo, William S. Evans +4

A -plane graph is a graph embedded in the plane such that each edge is crossed at most once. A NIC-plane graph is a -plane graph such that any two pairs of crossing edges sha…

cs.CG2017

Universal Slope Sets for 1-Bend Planar Drawings

Patrizio Angelini, Michael A. Bekos, Giuseppe Liotta +1

We describe a set of slopes that are universal for 1-bend planar drawings of planar graphs of maximum degree ; this establishes a new upper bound of on the 1-b…

cs.CG2017★ 96 cited

An annotated bibliography on 1-planarity

Stephen G. Kobourov, Giuseppe Liotta, Fabrizio Montecchiani

The notion of 1-planarity is among the most natural and most studied generalizations of graph planarity. A graph is 1-planar if it has an embedding where each edge is crossed by at…

cs.CG2017★ 4 cited

On the Relationship between -Planar and -Quasi Planar Graphs

Patrizio Angelini, Michael A. Bekos, Franz J. Brandenburg +6

A graph is -planar if it can be drawn in the plane such that no edge is crossed more than times. A graph is -quasi planar if it can be drawn in…