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» Graphs with Bounded Induced Distance
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TIT
2010
173views Education» more  TIT 2010»
14 years 6 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
15 years 3 months 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»
14 years 12 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»
15 years 6 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
15 years 1 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