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» Counting connected graphs asymptotically
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INFOCOM
2006
IEEE
15 years 3 months ago
Collaboration Improves the Connectivity of Wireless Networks
— In the standard approach to studying connectivity, a physical layer is assumed that allows direct transmission between neighbors within some fixed distance. The graph resultin...
Sanquan Song, Dennis Goeckel, Donald F. Towsley
CORR
2007
Springer
88views Education» more  CORR 2007»
14 years 9 months ago
Target assignment for robotic networks: asymptotic performance under limited communication
— We are given an equal number of mobile robotic agents, and distinct target locations. Each agent has simple integrator dynamics, a limited communication range, and knowledge of...
Stephen L. Smith, Francesco Bullo
CRYPTO
2006
Springer
159views Cryptology» more  CRYPTO 2006»
15 years 1 months ago
Asymptotically Optimal Two-Round Perfectly Secure Message Transmission
Abstract. The problem of perfectly secure message transmission concerns two synchronized non-faulty processors sender (S) and receiver (R) that are connected by a synchronous netwo...
Saurabh Agarwal, Ronald Cramer, Robbert de Haan
DCG
2008
82views more  DCG 2008»
14 years 9 months ago
Schnyder Woods and Orthogonal Surfaces
In this paper we study connections between planar graphs, Schnyder woods, and orthogonal surfaces. Schnyder woods and the face counting approach have important applications in gra...
Stefan Felsner, Florian Zickfeld
JCT
2008
65views more  JCT 2008»
14 years 9 months ago
Random graphs on surfaces
Counting labelled planar graphs, and typical properties of random labelled planar graphs, have received much attention recently. We start the process here of extending these invest...
Colin McDiarmid