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» On Bounds for the k-Partitioning of Graphs
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ICALP
2005
Springer
15 years 3 months ago
Online Interval Coloring and Variants
We study interval coloring problems and present new upper and lower bounds for several variants. We are interested in four problems, online coloring of intervals with and without b...
Leah Epstein, Meital Levy
91
Voted
CORR
2012
Springer
249views Education» more  CORR 2012»
13 years 6 months ago
Computing Cartograms with Optimal Complexity
We show how to compute cartograms with worst-case optimal polygonal complexity. Specifically we study rectilinear duals which are side-contact representations of a planar graph G ...
Md. Jawaherul Alam, Therese C. Biedl, Stefan Felsn...
75
Voted
CDC
2008
IEEE
109views Control Systems» more  CDC 2008»
15 years 4 months ago
Average consensus over small world networks: A probabilistic framework
— It has been observed that adding a few long range edges to certain graph topologies can significantly increase the rate of convergence for consensus algorithms. A notable exam...
Pedram Hovareshti, John S. Baras, Vijay Gupta
108
Voted
WADS
2007
Springer
82views Algorithms» more  WADS 2007»
15 years 4 months ago
On a Family of Strong Geometric Spanners That Admit Local Routing Strategies
We introduce a family of directed geometric graphs, denoted Gθ λ, that depend on two parameters λ and θ. For 0 ≤ θ < π 2 and 1 2 < λ < 1, the Gθ λ graph is a s...
Prosenjit Bose, Paz Carmi, Mathieu Couture, Michie...
89
Voted
WG
2005
Springer
15 years 3 months ago
Computation of Chromatic Polynomials Using Triangulations and Clique Trees
In this paper, we present a new algorithm for computing the chromatic polynomial of a general graph G. Our method is based on the addition of edges and contraction of non-edges of ...
Pascal Berthomé, Sylvain Lebresne, Kim Nguy...