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» Randomness, lowness and degrees
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COMSUR
2011
264views Hardware» more  COMSUR 2011»
13 years 11 months ago
Low-Memory Wavelet Transforms for Wireless Sensor Networks: A Tutorial
Abstract—The computational and memory resources of wireless sensor nodes are typically very limited, as the employed low-energy microcontrollers provide only hardware support for...
Stephan Rein, Martin Reisslein
APAL
2010
68views more  APAL 2010»
14 years 12 months ago
Higher Kurtz randomness
A real x is 1 1-Kurtz random (1 1-Kurtz random) if it is in no closed null 1 1 set (1 1 set). We show that there is a cone of 1 1-Kurtz random hyperdegrees. We characterize lowness...
Bjørn Kjos-Hanssen, André Nies, Fran...
WCNC
2010
IEEE
15 years 3 months ago
Node Connectivity Analysis in Multi-Hop Wireless Networks
—In this paper, we study node connectivity in multi-hop wireless networks. Nodal degree of connectivity as one of the fundamental graph properties is the basis for the study of n...
Bahador Bakhshi, Siavash Khorsandi
DM
2008
103views more  DM 2008»
14 years 12 months ago
Improper colouring of (random) unit disk graphs
For any graph G, the k-improper chromatic number k (G) is the smallest number of colours used in a colouring of G such that each colour class induces a subgraph of maximum degree ...
Ross J. Kang, Tobias Müller, Jean-Séba...
DM
2007
93views more  DM 2007»
14 years 11 months ago
Small subgraphs of random regular graphs
The main aim of this short paper is to answer the following question. Given a fixed graph H, for which values of the degree d does a random d-regular graph on n vertices contain ...
Jeong Han Kim, Benny Sudakov, Van H. Vu