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arXiv · 1508.07557

Intersection-Link Representations of Graphs

Patrizio Angelini·Giordano Da Lozzo·Giuseppe Di Battista·Fabrizio Frati·Maurizio Patrignani·Ignaz Rutter
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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.

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Patrizio Angelini, Giordano Da Lozzo, Giuseppe Di Battista, Fabrizio Frati, Maurizio Patrignani, Ignaz Rutter. 2015-08-30. Intersection-Link Representations of Graphs. https://arxiv.org/abs/1508.07557

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