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» Connected dominating sets on dynamic geometric graphs
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ENDM
2008
142views more  ENDM 2008»
14 years 11 months ago
Augmenting the Connectivity of Planar and Geometric Graphs
In this paper we study some connectivity augmentation problems. Given a connected graph G with some desirable property, we want to make G 2-vertex connected (or 2-edge connected) ...
Ignaz Rutter, Alexander Wolff
95
Voted
COMBINATORICS
2006
156views more  COMBINATORICS 2006»
14 years 11 months ago
Total Domination and Matching Numbers in Claw-Free Graphs
A set M of edges of a graph G is a matching if no two edges in M are incident to the same vertex. The matching number of G is the maximum cardinality of a matching of G. A set S o...
Michael A. Henning, Anders Yeo
IPPS
2002
IEEE
15 years 4 months ago
Dominating Set Based Bluetooth Scatternet Formation with Localized Maintenance
This paper addresses the problem of scatternet formation and maintenance for multi-hop Bluetooth based personal area and ad hoc networks with minimal communication overhead. Each ...
Ivan Stojmenovic
75
Voted
ISAAC
2003
Springer
96views Algorithms» more  ISAAC 2003»
15 years 4 months ago
On the Geometric Dilation of Finite Point Sets
Let G be an embedded planar graph whose edges may be curves. For two arbitrary points of G, we can compare the length of the shortest path in G connecting them against their Euclid...
Annette Ebbers-Baumann, Ansgar Grüne, Rolf Kl...
DC
2010
14 years 11 months ago
An optimal maximal independent set algorithm for bounded-independence graphs
We present a novel distributed algorithm for the maximal independent set (MIS) problem.1 On bounded-independence graphs (BIG) our deterministic algorithm finishes in O(log n) time,...
Johannes Schneider, Roger Wattenhofer