In this paper we study the problem of computing homo- thetic triangle contact representations of planar graphs. Since not all planar graphs admit such a ...

Our interest in this paper are triangle contact representations of planar graphs with homothetic triangles, i.e, vertices are represented by a set of ...

It has been shown that many planar graphs admit a contact representation with homothetic triangles. Figure 1: Contact representations with homothetic triangles.

Nov 2, 2017 · We prove that every 4-connected planar triangulation admits a contact representation by homothetic triangles. There is a known proof of this ...

In any contact representation, a triangle of the octahedron - say a, b, c - must be represented inside the region bounded by the representation of the opposite.

We prove that every 4-connected planar triangulation admits a contact representation by homothetic triangles. View via Publisher.

In this paper we study the problem of computing homo- thetic triangle contact representations of planar graphs. Since not all planar graphs admit such a ...

Definition: Two triangles are homothetic if they only differ in geometric contraction or expansion. A graph is a homothetic triangle contact graph if it has an ...

Aug 30, 2019 · Abstract:We prove that every planar graph is the intersection graph of homothetic triangles in the plane. Comments: 6 pages. Subjects: Discrete ...

Dec 12, 2019 · In this context, if for an intersection representation the shapes are interior disjoint, we call such a representation a contact representation.