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» Optimal Polygonal Representation of Planar Graphs
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LATIN
2010
Springer
13 years 11 months ago
Optimal Polygonal Representation of Planar Graphs
In this paper, we consider the problem of representing graphs by polygons whose sides touch. We show that at least six sides per polygon are necessary by constructing a class of pl...
Emden R. Gansner, Yifan Hu, Michael Kaufmann, Step...
CORR
2012
Springer
249views Education» more  CORR 2012»
12 years 18 days ago
Computing Cartograms with Optimal Complexity
We show how to compute cartograms with worst-case optimal polygonal complexity. Specifically we study rectilinear duals which are side-contact representations of a planar graph G ...
Md. Jawaherul Alam, Therese C. Biedl, Stefan Felsn...
JDA
2010
131views more  JDA 2010»
13 years 3 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
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...
COMPGEOM
2006
ACM
13 years 10 months ago
Optimal succinct representations of planar maps
This paper addresses the problem of representing the connectivity information of geometric objects using as little memory as possible. As opposed to raw compression issues, the fo...
Luca Castelli Aleardi, Olivier Devillers, Gilles S...