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TIT
2010
173views Education» more  TIT 2010»
13 years 3 months ago
Asymptotic critical transmission radius for k-connectivity in wireless ad hoc networks
A range assignment to the nodes in a wireless ad hoc network induces a topology in which there is an edge between two nodes if and only if both of them are within each other's...
Peng-Jun Wan, Chih-Wei Yi, Lixin Wang
FCT
2009
Springer
14 years 27 days ago
Reachability in K3, 3-Free Graphs and K5-Free Graphs Is in Unambiguous Log-Space
We show that the reachability problem for directed graphs that are either K3,3-free or K5-free is in unambiguous log-space, UL coUL. This significantly extends the result of Bour...
Thomas Thierauf, Fabian Wagner
CORR
2010
Springer
249views Education» more  CORR 2010»
13 years 9 months ago
Lower Bounds on Near Neighbor Search via Metric Expansion
In this paper we show how the complexity of performing nearest neighbor (NNS) search on a metric space is related to the expansion of the metric space. Given a metric space we loo...
Rina Panigrahy, Kunal Talwar, Udi Wieder
IWOCA
2009
Springer
157views Algorithms» more  IWOCA 2009»
14 years 3 months ago
Forbidden Subgraph Colorings and the Oriented Chromatic Number
: We present an improved upper bound of O(d1+ 1 m−1 ) for the (2, F)-subgraph chromatic number χ2,F (G) of any graph G of maximum degree d. Here, m denotes the minimum number of...
N. R. Aravind, C. R. Subramanian
NIPS
2001
13 years 10 months ago
Thin Junction Trees
We present an algorithm that induces a class of models with thin junction trees--models that are characterized by an upper bound on the size of the maximal cliques of their triang...
Francis R. Bach, Michael I. Jordan