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CPC
1998
154views more  CPC 1998»
13 years 8 months ago
Asymptotic Enumeration of Eulerian Circuits in the Complete Graph
We determine the asymptotic behaviour of the number of eulerian circuits in a complete graph of odd order. One corollary of our result is the following. If a maximum random walk, ...
Brendan D. McKay, Robert W. Robinson
CORR
2007
Springer
86views Education» more  CORR 2007»
13 years 9 months ago
On the Discovery of Random Trees
Abstract. We consider in this paper the problem of discovering, via a traceroute algorithm, the topology of a network, whose graph is spanned by an infinite branching process. A s...
Fabrice Guillemin, Philippe Robert
ALGOSENSORS
2009
Springer
13 years 6 months ago
Brief Announcement: Universal Data Aggregation Trees for Sensor Networks in Low Doubling Metrics
Abstract. We describe a novel approach for constructing a single spanning tree for data aggregation towards a sink node. The tree is universal in the sense that it is static and in...
Srinivasagopalan Srivathsan, Costas Busch, S. Sith...
APPROX
2009
Springer
153views Algorithms» more  APPROX 2009»
14 years 3 months ago
Average-Case Analyses of Vickrey Costs
We explore the average-case “Vickrey” cost of structures in a random setting: the Vickrey cost of a shortest path in a complete graph or digraph with random edge weights; the V...
Prasad Chebolu, Alan M. Frieze, Páll Melste...
CISS
2007
IEEE
14 years 28 days ago
Energy Efficient Routing for Statistical Inference of Markov Random Fields
The problem of routing of sensor observations for optimal detection of a Markov random field (MRF) at a designated fusion center is analyzed. Assuming that the correlation structur...
Animashree Anandkumar, Lang Tong, Ananthram Swami