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JDA
2010
131views more  JDA 2010»
13 years 4 months ago
Convex drawings of hierarchical planar graphs and clustered planar graphs
: Hierarchical graphs are graphs with layering structures; clustered graphs are graphs with recursive clustering structures. Both have applications in VLSI design, CASE tools, soft...
Seok-Hee Hong, Hiroshi Nagamochi
GD
2009
Springer
13 years 10 months ago
Manhattan-Geodesic Embedding of Planar Graphs
In this paper, we explore a new convention for drawing graphs, the (Manhattan-) geodesic drawing convention. It requires that edges are drawn as interior-disjoint monotone chains o...
Bastian Katz, Marcus Krug, Ignaz Rutter, Alexander...
GD
2006
Springer
13 years 9 months ago
Morphing Planar Graphs in Spherical Space
We consider the problem of intersection-free planar graph morphing, and in particular, a generalization from Euclidean space to spherical space. We show that there exists a continu...
Stephen G. Kobourov, Matthew Landis
ALGORITHMICA
2006
132views more  ALGORITHMICA 2006»
13 years 5 months ago
Straight-Line Drawing Algorithms for Hierarchical Graphs and Clustered Graphs
Hierarchical graphs and clustered graphs are useful non-classical graph models for structured relational information. Hierarchical graphs are graphs with layering structures; clus...
Peter Eades, Qing-Wen Feng, Xuemin Lin, Hiroshi Na...
GD
2007
Springer
13 years 12 months ago
Universal Sets of n Points for 1-Bend Drawings of Planar Graphs with n Vertices
This paper shows that any planar graph with n vertices can be point-set embedded with at most one bend per edge on a universal set of n points in the plane. An implication of this ...
Hazel Everett, Sylvain Lazard, Giuseppe Liotta, St...