We consider drawings of graphs that contain dense subgraphs. We introduce intersection-link representations for such graphs, in which each vertex u is represented by a geometric object R(u) and in which each edge (u, v) is represented by the intersection between R(u) and R(v) if it belongs to a dense subgraph or by a curve connecting the boundaries of R(u) and R(v) otherwise. We study a notion of planarity, called Clique Planarity, for intersection-link representations of graphs in which the dense subgraphs are cliques.
Angelini, P., DA LOZZO, G., DI BATTISTA, G., Frati, F., Patrignani, M., Rutter, I. (2015). Intersection-Link Representations of Graphs. In 23rd International Symposium on Graph Drawing and Network Visualization (pp.217-230). Springer-Verlag [10.1007/978-3-319-27261-0_19].
Intersection-Link Representations of Graphs
ANGELINI, PATRIZIO;DA LOZZO, GIORDANO;DI BATTISTA, Giuseppe;FRATI, FABRIZIO;PATRIGNANI, Maurizio;
2015-01-01
Abstract
We consider drawings of graphs that contain dense subgraphs. We introduce intersection-link representations for such graphs, in which each vertex u is represented by a geometric object R(u) and in which each edge (u, v) is represented by the intersection between R(u) and R(v) if it belongs to a dense subgraph or by a curve connecting the boundaries of R(u) and R(v) otherwise. We study a notion of planarity, called Clique Planarity, for intersection-link representations of graphs in which the dense subgraphs are cliques.| File | Dimensione | Formato | |
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Angelini et al-Intersection-Link Representations of Graphs (arxiv-1508.07557v1).pdf
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