Contact Representations

Morphing Contact Representations of Graphs

We consider the problem of morphing between contact representations of a plane graph. In a contact representation of a plane graph, vertices are realized by internally disjoint elements from a family of connected geometric objects. Two such elements …

Square-Contact Representations of Partial 2-Trees and Triconnected Simply-Nested Graphs

A square-contact representation of a planar graph $G=(V,E)$ maps the vertices in $V$ to interior disjoint axis-aligned squares in the plane and the edges in $E$ to adjacencies between the sides of the squares corresponding to the endpoints of each …

Intersection-Link Representations of Graphs

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 …