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GD
1997
Springer
14 years 1 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»
13 years 10 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
DM
2010
86views more  DM 2010»
13 years 9 months ago
Minimum congestion spanning trees in planar graphs
: The main purpose of the paper is to develop an approach to the evaluation or the estimation of the spanning tree congestion of planar graphs. This approach is used to evaluate th...
M. I. Ostrovskii
SODA
1998
ACM
128views Algorithms» more  SODA 1998»
13 years 11 months ago
A Polynomial-Time Approximation Scheme for Weighted Planar Graph TSP
Given a planar graph on n nodes with costs weights on its edges, de ne the distance between nodes i and j as the length of the shortest path between i and j. Consider this as an i...
Sanjeev Arora, Michelangelo Grigni, David R. Karge...
CORR
2008
Springer
74views Education» more  CORR 2008»
13 years 9 months ago
Shortest Vertex-Disjoint Two-Face Paths in Planar Graphs
Abstract. Let G be a directed planar graph of complexity n, each arc having a nonnegative length. Let s and t be two distinct faces of G; let s1, . . . , sk be vertices incident wi...
Éric Colin de Verdière, Alexander Sc...