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» Computing the Girth of a Planar Graph
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DM
2010
126views more  DM 2010»
13 years 7 months ago
Asymptotic connectivity of hyperbolic planar graphs
We investigate further the concept of asymptotic connectivity as defined previously by the first author. In particular, we compute an upper bound on the asymptotic connectivity of ...
Patrick Bahls, Michael R. Dipasquale
GD
1997
Springer
13 years 11 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
CORR
2010
Springer
130views Education» more  CORR 2010»
13 years 4 months ago
Oblivious Buy-at-Bulk in Planar Graphs
In the oblivious buy-at-bulk network design problem in a graph, the task is to compute a fixed set of paths for every pair of source-destination in the graph, such that any set of ...
Srinivasagopalan Srivathsan, Costas Busch, S. Sith...
CORR
2008
Springer
74views Education» more  CORR 2008»
13 years 7 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...
GD
1999
Springer
13 years 12 months ago
Drawing Planar Graphs with Circular Arcs
In this paper we address the problem of drawing planar graphs with circular arcs while maintaining good angular resolution and small drawing area. We present a lower bound on the a...
C. C. Cheng, Christian A. Duncan, Michael T. Goodr...