Constrained Graph Layouts: Vertices on the Outer Face and on the Integer Grid (Paperback) (ISBN-13: 9783958261464)

Constraining graph layouts - that is, restricting the placement of vertices and the routing of edges to obey certain constraints - is common practice in graph drawing. In this book, we discuss algorithmic results on two different restriction types: placing vertices on the outer face and on the integer grid. For the first type, we look into the outer k-planar and outer k-quasi-planar graphs, as well as giving a linear-time algorithm to recognize full and closed outer k-planar graphs Monadic Second-order Logic. For the second type, we consider the problem of transferring a given planar drawing onto the integer grid while perserving the original drawings topology; we also generalize a variant of Cauchy's rigidity theorem for orthogonal polyhedra of genus 0 to those of arbitrary genus.

Author: Andre Löffler
ISBN-10: 3958261469
ISBN-13: 9783958261464
Publisher: Wurzburg University Press
Language: English
Published: 01/14/2021
Pages: 172
Format: Paperback
Weight: 0.62lbs
Size: 9.61h x 6.69w x 0.37d