Technical Report 461-1995

Title
Drawing Graphs on Rectangular Grids with at most 2 Bends per Edge
Author
Markus W. Schäffter
Publication
DISAM, vol. 65, 1995, pp. 75-89
Source
Download as [ps.gz]
Classification
not available
Keywords
not available
Abstract
Given an undirected graph G=(V,E) with n vertices of maximum degree 4. It is well known that such a graph can be embedded in a rectangular grid with at most 2n columns and 2n rows such that any edge is embedded with at most 5 bends. On the other hand, two is a lower bound on the maximum number of bends per embed ded edge since the graph K5 cannot be embedded with less than 2 bends per embedded edg e. We present an algorithm that computes an embedding for arbitrary graphs with n vertices of maximum degree 4 in a grid with exactly 2n columns and 2n rows such that all edges are embedded with at most 2 bends per edge.