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Contact Representations of Sparse Planar Graphs
[article]

2015
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arXiv
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pre-print

We study representations of graphs by contacts of circular arcs, CCA-representations for short, where the vertices are interior-disjoint circular arcs in the plane and each edge is realized by an endpoint of one arc touching the interior of another. A graph is (2,k)-sparse if every s-vertex subgraph has at most 2s - k edges, and (2, k)-tight if in addition it has exactly 2n - k edges, where n is the number of vertices. Every graph with a CCA- representation is planar and (2, 0)-sparse, and it

arXiv:1501.00318v1
fatcat:lmnfvgc3xbfqbdyq6hwn6hxbsa