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» Determining Consensus Numbers
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DM
2006
86views more  DM 2006»
13 years 8 months ago
Minimal rankings and the arank number of a path
Given a graph G, a function f : V (G) {1, 2, . . . , k} is a k-ranking of G if f (u) = f (v) implies every u - v path contains a vertex w such that f (w) > f (u). A k-ranking ...
Victor Kostyuk, Darren A. Narayan, Victoria A. Wil...
MOC
1998
102views more  MOC 1998»
13 years 8 months ago
Classification of integral lattices with large class number
A detailed exposition of Kneser’s neighbour method for quadratic lattices over totally real number fields, and of the sub-procedures needed for its implementation, is given. Usi...
Rudolf Scharlau, Boris Hemkemeier
CDC
2010
IEEE
221views Control Systems» more  CDC 2010»
13 years 3 months ago
Performance limitations of the servomechanism problem when the number of tracking/disturbance poles increases
In this paper, we study the cheap control problem and determine what some of the inherent system limitations are in achieving high performance for LTI systems. In particular, we ob...
Edward J. Davison, Simon Lam
TCOM
2008
82views more  TCOM 2008»
13 years 8 months ago
Detecting the number of signals in wireless DS-CDMA networks
In this paper, a new information theoretic algorithm is proposed for signal enumeration in DS-CDMA networks. The approach is based on the predictive description length (PDL) of the...
Shahrokh Valaee, Shahram Shahbazpanahi
COMBINATORICS
2000
92views more  COMBINATORICS 2000»
13 years 8 months ago
Asymptotics for the Probability of Connectedness and the Distribution of Number of Components
Let n be the fraction of structures of size" n which are connected"; e.g., a the fraction of labeled or unlabeled n-vertex graphshavingone component, b the fraction of p...
Jason P. Bell, Edward A. Bender, Peter J. Cameron,...