This paper investigates the following problem: Given a tree T, can we find a set of points in the plane such that the Voronoi diagram of this set of points is a drawing of T? We study trees that can be drawn as Voronoi diagrams both in the Euclidean and in the Manhattan metric. Characterizations of drawable trees are given and different drawing algorithms that take into account additional geometric constraints are presented.

Voronoi Drawings of Trees

LIOTTA, Giuseppe;
1999

Abstract

This paper investigates the following problem: Given a tree T, can we find a set of points in the plane such that the Voronoi diagram of this set of points is a drawing of T? We study trees that can be drawn as Voronoi diagrams both in the Euclidean and in the Manhattan metric. Characterizations of drawable trees are given and different drawing algorithms that take into account additional geometric constraints are presented.
1999
3540669043
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/911075
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact