Drawing Graphs with Right Angle Crossings [chapter]

Walter Didimo, Peter Eades, Giuseppe Liotta
2009 Lecture Notes in Computer Science  
Cognitive experiments show that humans can read graph drawings in which all edge crossings are at right angles equally well as they can read planar drawings; they also show that the readability of a drawing is heavily affected by the number of bends along the edges. A graph visualization whose edges can only cross perpendicularly is called a RAC (Right Angle Crossing) drawing. This paper initiates the study of combinatorial and algorithmic questions related with the problem of computing RAC
more » ... ings with few bends per edge. Namely, we study the interplay between number of bends per edge and total number of edges in RAC drawings. We establish upper and lower bounds on these quantities by considering two classical graph drawing scenarios: The one where the algorithm can choose the combinatorial embedding of the input graph and the one where this embedding is fixed.
doi:10.1007/978-3-642-03367-4_19 fatcat:jlucpnj6knf5nmjdrq6rryf3wi