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» The convexity spectra of graphs
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DCG
2011
13 years 2 months ago
Small Grid Embeddings of 3-Polytopes
We introduce an algorithm that embeds a given 3-connected planar graph as a convex 3-polytope with integer coordinates. The size of the coordinates is bounded by O(27.55n ) = O(18...
Ares Ribó Mor, Günter Rote, Andr&eacut...
IPL
2006
98views more  IPL 2006»
13 years 7 months ago
Transforming spanning trees and pseudo-triangulations
Let TS be the set of all crossing-free straight line spanning trees of a planar n-point set S. Consider the graph TS where two members T and T of TS are adjacent if T intersects T...
Oswin Aichholzer, Franz Aurenhammer, Clemens Hueme...
CDC
2009
IEEE
124views Control Systems» more  CDC 2009»
13 years 5 months ago
A graph-theoretic approach to distributed control over networks
We consider a network of control systems connected over a graph. Considering the graph structure as constraints on the set of permissible controllers, we show that such systems ar...
John Swigart, Sanjay Lall
VISSOFT
2005
IEEE
14 years 1 months ago
Exploring Relations within Software Systems Using Treemap Enhanced Hierarchical Graphs
The clear and meaningful visualization of relations between software entities is an invaluable tool for the comprehension, evaluation, and reengineering of the structure of existi...
Michael Balzer, Oliver Deussen
ISAAC
2005
Springer
91views Algorithms» more  ISAAC 2005»
14 years 1 months ago
Sparse Geometric Graphs with Small Dilation
Given a set S of n points in RD , and an integer k such that 0 k < n, we show that a geometric graph with vertex set S, at most n − 1 + k edges, maximum degree five, and dila...
Boris Aronov, Mark de Berg, Otfried Cheong, Joachi...