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» Partitions of Complete Geometric Graphs into Plane Trees
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COMGEO
2008
ACM
13 years 5 months ago
Augmenting the connectivity of geometric graphs
Let G be a connected plane geometric graph with n vertices. In this paper, we study bounds on the number of edges required to be added to G to obtain 2-vertex or 2-edge connected ...
Manuel Abellanas, Alfredo García Olaverri, ...
WADS
2007
Springer
180views Algorithms» more  WADS 2007»
13 years 12 months ago
Spanners for Geometric Intersection Graphs
A ball graph is an intersection graph of a set of balls with arbitrary radii. Given a real number t > 1, we say that a subgraph G′ of a graph G is a t-spanner of G, if for eve...
Martin Fürer, Shiva Prasad Kasiviswanathan
WADS
2005
Springer
149views Algorithms» more  WADS 2005»
13 years 11 months ago
Balanced Aspect Ratio Trees Revisited
Spatial databases support a variety of geometric queries on point data such as range searches, nearest neighbor searches, etc. Balanced Aspect Ratio (BAR) trees are hierarchical sp...
Amitabh Chaudhary, Michael T. Goodrich
DMTCS
2010
125views Mathematics» more  DMTCS 2010»
13 years 3 months ago
Binary Labelings for Plane Quadrangulations and their Relatives
Motivated by the bijection between Schnyder labelings of a plane triangulation and partitions of its inner edges into three trees, we look for binary labelings for quadrangulation...
Stefan Felsner, Clemens Huemer, Sarah Kappes, Davi...
COMBINATORICS
2006
124views more  COMBINATORICS 2006»
13 years 5 months ago
Bounded-Degree Graphs have Arbitrarily Large Geometric Thickness
Abstract. The geometric thickness of a graph G is the minimum integer k such that there is a straight line drawing of G with its edge set partitioned into k plane subgraphs. Eppste...
János Barát, Jirí Matousek, D...