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The Geometric Thickness of Low Degree Graphs by Christian A. Duncan; David Eppstein; Stephen G. Kobourov is a scholarly article available to read on EtoBox.

What is The Geometric Thickness of Low Degree Graphs about?

We prove that the geometric thickness of graphs whose maximum degree is no more than four is two. All of our algorithms run in O ́nμ time, where n is the number of vertices in the graph. In our proofs, we present an embedding algorithm for graphs with maximum degree three that uses an n ¢n grid and a more complex algorithm for embedding a graph with maximum degree four. We also show a variation using orthogonal edges for maximum degree four graphs that also uses an n ¢n grid. The results have implications in graph theory, graph drawing, and VLSI design.

Author

Christian A. Duncan; David Eppstein; Stephen G. Kobourov

Publisher

ACM

Published

2004

Language

EN