Constrained Graph Layouts
Vertices on the Outer Face and on the Integer Grid
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Beschreibung
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.
Autor*in
Andre Löffler
geboren 1987, M. Sc. (Informatik, Universität Würzburg)
Themen in »Constrained Graph Layouts«
Algorithmische Geometrie Algorithmus Graphenzeichnen Kombinatorik Komplexität Konvexe Zeichnungen Planare Graphen Polyeder