Article ID Journal Published Year Pages File Type
418688 Discrete Applied Mathematics 2014 11 Pages PDF
Abstract

The bend-number  b(G)b(G) of a graph GG is the minimum kk such that GG may be represented as the edge intersection graph of a set of grid paths with at most kk bends. We confirm a conjecture of Biedl and Stern showing that the maximum bend-number of outerplanar graphs is 2. Moreover we improve the formerly known lower and upper bounds for the maximum bend-number of planar graphs from 2 and 5 to 3 and 4, respectively.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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