Visual Analysis of Multilayer Networks

McGee, Fintan; Renoust, Benjamin; Archambault, Daniel; Ghoniem, Mohammad; Kerren, Andreas; Pinaud, Bruno; Pohl, Margit; Otjacques, Benoît; Mélançon, Guy; Landesberger, Tatiana von

doi:10.1007/978-3-031-02608-9

Cited by 4 publications

(1 citation statement)

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“…Multilayer networks are used in many applications to model complex relationships between different sets of entities in interdependent subsystems [17]. When analyzing and exploring the interaction between two such subsystems S t and S b , bipartite or 2-layer networks arise naturally.…”

Section: Introductionmentioning

confidence: 99%

Splitting Vertices in 2-Layer Graph Drawings

Ahmed¹,

Angelini²,

Bekos³

et al. 2023

Preprint

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Bipartite graphs model the relationships between two disjoint sets of entities in several applications and are naturally drawn as 2-layer graph drawings. In such drawings, the two sets of entities (vertices) are placed on two parallel lines (layers), and their relationships (edges) are represented by segments connecting vertices. Methods for constructing 2-layer drawings often try to minimize the number of edge crossings. We use vertex splitting to reduce the number of crossings, by replacing selected vertices on one layer by two (or more) copies and suitably distributing their incident edges among these copies. We study several optimization problems related to vertex splits to minimize the number of crossings. While we prove that some variants are NP-complete, we obtain polynomial-time algorithms for others. We run our algorithms on a benchmark set of bipartite graphs representing the relationships between human anatomical structures and cell types. ACM Subject Classification Theory of computation → Design and analysis of algorithmsKeywords and phrases 2-layer graph drawings, vertex splitting, edge crossings Digital Object Identifier 10.4230/LIPIcs...1

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Section: Introductionmentioning

confidence: 99%