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» On Planar Quasi-Parity Graphs
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STOC
1998
ACM
129views Algorithms» more  STOC 1998»
15 years 4 months ago
Planar Map Graphs
We introduce and study a modi ed notion of planarity, in which two regions of a map are considered adjacent when they share any point of their boundaries not an edge, as standard...
Zhi-Zhong Chen, Michelangelo Grigni, Christos H. P...
CORR
2010
Springer
105views Education» more  CORR 2010»
14 years 12 months ago
Exact Shortest Path Queries for Planar Graphs Using Linear Space
We provide the first linear-space data structure with provable sublinear query time for exact point-topoint shortest path queries in planar graphs. We prove that for any planar gr...
Shay Mozes, Christian Sommer
CORR
2008
Springer
141views Education» more  CORR 2008»
14 years 12 months ago
Obfuscated Drawings of Planar Graphs
Given a planar graph G, we consider drawings of G in the plane where edges are represented by straight line segments (which possibly intersect). Such a drawing is specified by an i...
Mihyun Kang, Oleg Pikhurko, Alexander Ravsky, Math...
GD
1997
Springer
15 years 4 months ago
Area Requirements for Drawing Hierarchically Planar Graphs
d Abstract) In this paper, we investigate area requirements for drawing s-t hierarchically planar graphs by straight-lines. Two drawing standards will be discussed: 1) each vertex ...
Xuemin Lin, Peter Eades
SODA
1990
ACM
114views Algorithms» more  SODA 1990»
15 years 1 months ago
Finding Steiner Forests in Planar Graphs
Given an unweighted planar graph G together with nets of terminals, our problem is to find a Steiner forest, i.e., vertex-disjoint trees, each of which interconnects all the termin...
Hitoshi Suzuki, Takehiro Akama, Takao Nishizeki