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» A Note on Graph Pebbling
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ITA
2007
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13 years 7 months ago
Automata, Borel functions and real numbers in Pisot base
This note is about functions f : Aω → Bω whose graph is recognized by a B¨uchi finite automaton on the product alphabet A × B. These functions are Baire class 2 in the Bair...
Benoit Cagnard, Pierre Simonnet
PODC
2009
ACM
14 years 8 months ago
Brief announcement: minimum spanning trees and cone-based topology control
Consider a setting where nodes can vary their transmission power thereby changing the network topology, the goal of topology control is to reduce the transmission power while ensu...
Alejandro Cornejo, Nancy A. Lynch
MOBICOM
2006
ACM
14 years 1 months ago
On the complexity of scheduling in wireless networks
We consider the problem of throughput-optimal scheduling in wireless networks subject to interference constraints. We model the interference using a family of K-hop interference m...
Gaurav Sharma, Ravi R. Mazumdar, Ness B. Shroff
EJC
2008
13 years 7 months ago
Fractional coloring and the odd Hadwiger's conjecture
Gerards and Seymour (see [T.R. Jensen, B. Toft, Graph Coloring Problems, Wiley-Interscience, 1995], page 115) conjectured that if a graph has no odd complete minor of order p, the...
Ken-ichi Kawarabayashi, Bruce A. Reed
WWW
2005
ACM
14 years 8 months ago
A uniform approach to accelerated PageRank computation
In this note we consider a simple reformulation of the traditional power iteration algorithm for computing the stationary distribution of a Markov chain. Rather than communicate t...
Frank McSherry