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IPL
2006
69views more  IPL 2006»
13 years 7 months ago
On computing the smallest four-coloring of planar graphs and non-self-reducible sets in P
We show that computing the lexicographically first four-coloring for planar graphs is p 2hard. This result optimally improves upon a result of Khuller and Vazirani who prove this ...
André Große, Jörg Rothe, Gerd We...
CORR
2012
Springer
249views Education» more  CORR 2012»
12 years 3 months ago
Computing Cartograms with Optimal Complexity
We show how to compute cartograms with worst-case optimal polygonal complexity. Specifically we study rectilinear duals which are side-contact representations of a planar graph G ...
Md. Jawaherul Alam, Therese C. Biedl, Stefan Felsn...
CORR
2006
Springer
145views Education» more  CORR 2006»
13 years 7 months ago
Product Multicommodity Flow in Wireless Networks
We provide a tight approximate characterization of the n-dimensional product multicommodity flow (PMF) region for a wireless network of n nodes. Separate characterizations in term...
Ritesh Madan, Devavrat Shah, Olivier Lév&ec...
SODA
2010
ACM
177views Algorithms» more  SODA 2010»
14 years 5 months ago
On the Exact Space Complexity of Sketching and Streaming Small Norms
We settle the 1-pass space complexity of (1 ? )approximating the Lp norm, for real p with 1 p 2, of a length-n vector updated in a length-m stream with updates to its coordinate...
Daniel M. Kane, Jelani Nelson, David P. Woodruff
FSTTCS
2009
Springer
14 years 2 months ago
Non-Local Box Complexity and Secure Function Evaluation
ABSTRACT. A non-local box is an abstract device into which Alice and Bob input bits x and y respectively and receive outputs a and b respectively, where a, b are uniformly distribu...
Marc Kaplan, Iordanis Kerenidis, Sophie Laplante, ...