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» The Complexity of Graph Connectivity
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STOC
1993
ACM
109views Algorithms» more  STOC 1993»
14 years 2 months ago
Routing permutations on graphs via matchings
We consider a class of routing problems on connected graphs G. Initially, each vertex v of G is occupied by a “pebble” which has a unique destination π(v) in G (so that π is...
Noga Alon, Fan R. K. Chung, Ronald L. Graham
JC
2007
130views more  JC 2007»
13 years 10 months ago
On the complexity of deciding connectedness and computing Betti numbers of a complex algebraic variety
We extend the lower bounds on the complexity of computing Betti numbers proved in [6] to complex algebraic varieties. More precisely, we first prove that the problem of deciding ...
Peter Scheiblechner
HICSS
2002
IEEE
132views Biometrics» more  HICSS 2002»
14 years 3 months ago
New Distributed Algorithm for Connected Dominating Set in Wireless Ad Hoc Networks
—Connected dominating set (CDS) has been proposed as virtual backbone or spine of wireless ad hoc networks. Three distributed approximation algorithms have been proposed in the l...
Khaled M. Alzoubi, Peng-Jun Wan, Ophir Frieder
INFOCOM
2002
IEEE
14 years 3 months ago
Distributed Construction of Connected Dominating Set in Wireless Ad Hoc Networks
—Connected dominating set (CDS) has been proposed as virtual backbone or spine of wireless ad hoc networks. Three distributed approximation algorithms have been proposed in the l...
Peng-Jun Wan, Khaled M. Alzoubi, Ophir Frieder
CORR
2008
Springer
139views Education» more  CORR 2008»
13 years 10 months ago
The Secrecy Graph and Some of its Properties
A new random geometric graph model, the so-called secrecy graph, is introduced and studied. The graph represents a wireless network and includes only edges over which secure commun...
Martin Haenggi