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» Distinguishing geometric graphs
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GD
2004
Springer
14 years 1 months ago
Intersection Reverse Sequences and Geometric Applications
Pinchasi and Radoiˇci´c [11] used the following observation to bound the number of edges of a topological graph without a self-crossing cycle of length 4: if we make a list of t...
Adam Marcus, Gábor Tardos
COMPGEOM
2005
ACM
13 years 10 months ago
Finding the best shortcut in a geometric network
Given a Euclidean graph G in Rd with n vertices and m edges we consider the problem of adding a shortcut such that the stretch factor of the resulting graph is minimized. Currentl...
Mohammad Farshi, Panos Giannopoulos, Joachim Gudmu...
SAC
2006
ACM
14 years 2 months ago
Spatial geometric constraint solving based on k-connected graph decomposition
We propose a geometric constraint solving method based on connectivity analysis in graph theory, which can be used to decompose a well-constrained problem into some smaller ones i...
Gui-Fang Zhang, Xiao-Shan Gao
COMGEO
2008
ACM
13 years 8 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, ...
CORR
2008
Springer
133views Education» more  CORR 2008»
13 years 8 months ago
On Geometric Spanners of Euclidean and Unit Disk Graphs
We consider the problem of constructing bounded-degree planar geometric spanners of Euclidean and unit-disk graphs. It is well known that the Delaunay subgraph is a planar geometri...
Iyad A. Kanj, Ljubomir Perkovic