Estimating the longest increasing sequence in polylogarithmic time C. Seshadhri (Sandia National Labs) Joint work with Michael Saks (Rutgers University)
Polylogarithmic Approximation for Edit Distance (and the Asymmetric Query Complexity) Robert Krauthgamer [Weizmann Institute] Joint with: Alexandr Andoni [Microsoft SVC]
Radio Broadcast. Undirected graph, v V wants to broadcast ... The radio broadcast problem. Given: a graph G,v. Find: a minimum number of rounds schedule. ...
max. matching, coloring, etc. Model. ... graph problem on G = (V,E) maximum degree of G polylogarithmic. nodes know neighbors in G. ... Theory for Sensor Networks ...
Any nontrivial problem has no NC-algorithm on the mesh, since the diameter is too large. ... For example we cannot compute on a mesh minimum of n numbers in ...
3.Growth of Functions Hsu, Lih-Hsing 3.1 Asymptotic notation g(n) is an asymptotic tight bound for f(n). ``= abuse The definition of required every member of ...
W[1]-Hard problem. n ratio approximation. This problem is clearly finding a Directed Steiner tree and a reverse directed Steiner tree. The Directed Steiner Tree ...
Attack: An adversary controls a constant fraction of nodes in the network ... Our algorithm makes use of a 'tournament' graph which has expander-like properties. ...
Interconnection Networks Using interconnection networks we can Connect processors to shared memory Connect processors to each other Interconnection media types
Protect database owners from revealing unnecessary information ... Statistics (single DB) ... m, use SPIR to learn m values (violates database privacy) ...
On Euclidean Vehicle Routing With Allocation Reto Sp hel, ETH Z rich Joint work with Jan Remy and Andreas Wei l TexPoint fonts used in EMF. Read the TexPoint ...
Analysis of Algorithms What does it mean to analyze? Strictly speaking analysis is the separation of an intellectual or substantial whole into its constituent parts ...
Mohammad T. Hajiaghayi University of Maryland * * * * * Outline Buy-at-bulk Network Design Prize-collecting Network Design Bidimensionality Theory Steiner Trees ...
Title: Slide 1 Author: igor Last modified by: igor Created Date: 4/21/2006 9:11:34 AM Document presentation format: On-screen Show Company: The University of Liverpool
Could be on a long cycle. ... ( Reach empty bucket with inverse logarithmic probability.) Expansion gives such a bucket is found after O(log n) steps with high ...
Blum, Floyd, Pratt, Rivest & Tarjan. Find the i'th element ... In a similar fashion to previous s, show that Y and ||A|| can be used to compute ||AI ...
Nodes in an ad-hoc network are not 100% reliable ... Mobile Ad-Hoc Network (MANET) It is often ... 'Big Bang' (deployment) of a sensor and/or ad-hoc network: ...
Maximal matching (MM) ... The same time lower bounds for MM and MIS can be shown by a simple reduction. ... that computing a MM achieves a constant ...
Strictly speaking analysis is the separation of an intellectual ... [American ... [American Heritage Dictionary] [Levitin 2003]. The Design and Analysis ...
Input: Undirected graph G = (V,E), root vertex r, and integer K, 0 K |V ... Otherwise, |S| 8K, and for every subset R of size between K and 8K, cap(R) B. ...
Title: CMPE 49B Sp. Top. in CMPE: Multi-Core Programming Author: Can Ozturan Last modified by: a Created Date: 3/6/1998 1:25:44 AM Document presentation format
University of Paderborn. Theoretical Computer ... amortize the new created capacity against edges in. an edge is used at most times for amortization since ...
The algorithmic complexity of a computation is, most generally, a measure of how ... Most algorithms have different complexities for inputs of different sizes. E.g. ...
... but we will also consider memory (space), non-determinism, randomness... ( self-reducibility) ... What is the power of non-determinism in (small) space? ...
A computational problem is complete for a complexity class when it is, in a ... Given an initial configuration of Conway's Game of Life, a particular cell, ...
Auction design: players have private 'valuations' for goods ... Moulin mechanism: simulate ascending auction using ? to compute prices at each iteration. ...
Question: nearest common ancestor nca(x,y) for some vertices x,y? ... [Winkler '83 (Squashed Cube Conjecture)] 11n bits and O(loglogn) time decoder ...
Feasible: is there a very fast algorithm to solve a particular problem? ... 3-coloring. NO! YES!. 19. April 2000. S. Abiteboul -- complexity. More NP-complete problems ...
'Big-O' Proof Examples. Show that 30n 8 is O(n). Show c,k: n k: 30n 8 cn. ... Big-O example, graphically. Increasing n. Value of function. n. 30n 8. cn = 31n ...
G(V, E), V represents the set of processors and E represents communication links ... A Las Vegas algorithm is a randomized algorithm that always produces a correct ...
... independent processors into a single package, often a single integrated circuit. ... can be used to interconnect distributed computational resources and present ...
Poster Presentations by Students and Postdocs PORTIA Project Site Visit Stanford CA, May 12-13, 2005 http://crypto.stanford.edu/portia/ Paper: Secure Computation ...
... of the intriguing open scientific questions lying at the heart ... But the open problem remains. Is there a scientific basis for making. reliable software? ...
Based on Rosen, Discrete Mathematics & Its Applications, 5e ... Corollary: General impossibility of predictive analysis of arbitrary computer programs. ...
The Fundamentals: Algorithms, the Integers, and Matrices (c) ... Definiteness. Precisely defined. Correctness. Outputs correctly relate to inputs. Finiteness. ...
Online Multi-Path Routing in a Maze- 4. First Works (1) Routing in Packet Radio Networks ... the algorithm with the best online-algorithm for the class of ...
Data-link protocols for shared wire or medium. Ad hoc & mobility issues ... [Clementi,Monti,Silvestri ESA'01] -- temporary leavings -- reasonable model wanted! ...