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» The upper bound on k-tuple domination numbers of graphs
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CORR
2010
Springer
137views Education» more  CORR 2010»
13 years 8 months ago
Local algorithms in (weakly) coloured graphs
A local algorithm is a distributed algorithm that completes after a constant number of synchronous communication rounds. We present local approximation algorithms for the minimum ...
Matti Åstrand, Valentin Polishchuk, Joel Ryb...
ICCCN
2008
IEEE
14 years 2 months ago
TRACK: A Novel Connected Dominating Set based Sink Mobility Model for WSNs
—The core functionality of a wireless sensor network (WSN) is to detect deviations in expected normal behavior and report it to the sink. In this paper, we propose TRACK — a no...
Avinash Srinivasan, Jie Wu
ICDCS
2008
IEEE
14 years 2 months ago
Two-Phased Approximation Algorithms for Minimum CDS in Wireless Ad Hoc Networks
— Connected dominating set (CDS) has a wide range of applications in wireless ad hoc networks. A number of distributed algorithms for constructing a small CDS in wireless ad hoc ...
Peng-Jun Wan, Lixin Wang, F. Frances Yao
COMGEO
2006
ACM
13 years 8 months ago
Compatible triangulations and point partitions by series-triangular graphs
We introduce series-triangular graph embeddings and show how to partition point sets with them. This result is then used to prove an upper bound on the number of Steiner points nee...
Jeff Danciger, Satyan L. Devadoss, Don Sheehy
COMBINATORICS
2000
81views more  COMBINATORICS 2000»
13 years 8 months ago
Interchangeability of Relevant Cycles in Graphs
The set R of relevant cycles of a graph G is the union of its minimum cycle bases. We introduce a partition of R such that each cycle in a class W can be expressed as a sum of oth...
Petra M. Gleiss, Josef Leydold, Peter F. Stadler