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Pentagon Contact Representations
2017
Electronic Notes in Discrete Mathematics
Representations of planar triangulations as contact graphs of a set of internally disjoint homothetic triangles or respectively of a set of internally disjoint homothetic squares have received quite some attention in recent years. In this paper we investigate representations of planar triangulations as contact graphs of a set of internally disjoint homothetic pentagons. Surprisingly such a representation exists for every triangulation whose outer face is a 5-gon. We relate these representations
doi:10.1016/j.endm.2017.06.069
fatcat:ng7l5mjmpzfvxfryrcdbfzycfe