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612-822-4611
Constrained Graph Layouts: Vertices on the Outer Face and on the Integer Grid

Constrained Graph Layouts: Vertices on the Outer Face and on the Integer Grid

Paperback

Geometry

ISBN10: 3958261469
ISBN13: 9783958261464
Publisher: Lightning Source Inc
Published: Jan 14 2021
Pages: 172
Weight: 0.62
Height: 0.37 Width: 6.69 Depth: 9.61
Language: English
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.

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Geometry