Technion - Israel Institute of Technology  
238900 - Seminar on open problems in computational complexity
  Spring 2012 EnglishRussianHebrewArabic  
Literature

Rigidity

Deterministic approximation algorithms for the nearest codeword problem
Author:  Noga Alon, Rina Panigrahy and Sergey Yekhanin
Link:  http://research.microsoft.com/en-us/um/people/yekhanin/Papers/NCP_approx.pdf
Circuit Lower Bounds, Help Functions, and the Remote Point Problem
Author:  Vikraman Arvind and Srikanth Srinivasan
Link:  http://arxiv.org/pdf/0911.4337v1.pdf
More on Average Case vs Approximation Complexity
Author:  Michael Alekhnovich
Link:  http://www.math.ias.edu/~misha/papers/average.ps
Spectral Methods for Matrix Rigidity with Applications to Size-Depth Tradeoffs and Communication Complexity
Author:  Satyanarayana V. Lokam
Link:  http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.52.4411

Lower Bounds for Arithmetic Circuits

Non-commutative circuits and the sum-of-squares problem
Author:  Pavel Hrubes, Amir Yehudayoff and Avi Wigderson
Link:  http://eccc.hpi-web.de/report/2010/021/download
Elusive Functions and Lower Bounds for Arithmetic Circuits
Author:  Ran Raz
Link:  http://www.wisdom.weizmann.ac.il/~ranraz/publications/Pelusive.new.pdf
Lower Bounds on Arithmetic Circuits via Partial Derivatives
Author:  Noan Nisan and Avi Wigderson
Link:  http://www.math.ias.edu/~avi/PUBLICATIONS/MYPAPERS/NW96/final.pdf
On the Complexity of Matrix Product'
Author:  Ran Raz
Link:  http://www.wisdom.weizmann.ac.il/~ranraz/publications/Pmatrix.ps

Locally Correctable Codes

Rank bounds for design matrices with applications to combinatorial geometry and locally correctable codes
Author:  Boaz Barak, Zeev Dvir, Amir Yehudayoff and Avi Wigderson
Link:  http://www.cs.princeton.edu/~zdvir/papers/BDWY11.pdf
Tight lower bounds for 2-query LCCs over finite fields
Author:   Arnab Bhattacharyya, Zeev Dvir, Shubhangi Saraf and Amir Shpilka
Link:  http://eccc.hpi-web.de/report/2011/054/download
On the efficiency of local decoding procedures for error-correcting codes.
Author:  Jonathan Katz and Luca Trevisan
Link:  http://www.cs.berkeley.edu/~luca/pubs/stoc00kt.ps

Graph Isomorphism

Faster Isomorphism Testing of Strongly Regular Graphs
Author:  Dan Spielman
Link:  http://cs-www.cs.yale.edu/homes/spielman/Research/grisom.html
An optimal lower bound on the number of variables for graph identifications
Author:  Jin-yi Cai, Martin Fürer and Neil Immerman:
Link:  http://citeseer.ist.psu.edu/viewdoc/summary?doi=10.1.1.32.4863
Isomorphism of graphs of bounded valence can be tested in polynomial time
Author:  Eugene M. Luks
Link:  http://ix.cs.uoregon.edu/~luks/iso.pdf

3-Coloring

New Approximation Algorithms for Graph Coloring
Author:  Avrim Blum
Link:  http://www.cse.iitk.ac.in/users/niteshj/blum_90_new_approx.ps
Approximate graph coloring by semidefinite programming
Author:  David Karger, Rajeev Motwani and Madhu Sudan
Link:  http://people.csail.mit.edu/madhu/papers/1994/kms-journ.pdf
On the hardness of 4-coloring a 3-colorable graph
Author:  Venkatesan Guruswami and Sanjeev Khanna
Link:  http://www.cs.cmu.edu/~venkatg/pubs/papers/3coloring.ps

Communication Complexity

On Rank vs. Communication Complexity
Author:  Noam Nisan and Avi Wigderson
Link:  http://www.math.ias.edu/~avi/PUBLICATIONS/MYPAPERS/NOAM/RANK/journal.pdf
Complexity Measures and Decision Tree Complexity: A Survey
Author:  Harry Buhrman and Ronald de Wolf.
Link:  http://homepages.cwi.nl/~rdewolf/publ/qc/dectree.pdf
Towards deterministic tree code constructions
Author:  Mark Braverman
Link:  http://eccc.hpi-web.de/report/2011/064/download
The multiparty communication complexity of set disjointness
Author:  Alexander Sherstov
Link:  http://eccc.hpi-web.de/report/2011/145/download

Computations over Composites

On ACC
Author:  Richard Beigel and Jun Tarui
Link:  http://knight.cis.temple.edu/~beigel/papers/bt-acc-cc.html
Non-Uniform ACC Circuit Lower Bounds
Author:  Ryan Williams
Link:  http://www.stanford.edu/~rrwill/acc-lbs.pdf
A lower bound on the mod 6 degree of the OR function
Author:  Gabor Tardos and David Mix Barrington
Link:  http://www.renyi.hu/~tardos/david.ps
Linear Systems over Composite Moduli
Author:  Arkadev Chattopadhyay and Avi Wigderson
Link:  http://www.cs.toronto.edu/~arkadev/singleLayer2G.pdf

Analysis of Boolean functions

Boolean functions with small spectral norm
Author:  Ben Green and Tom Sanders
Link:  http://www.arxiv.org/pdf/math.CA/0605524
An O(n^log log n) learning algorithm for DNF under the uniform distribution
Author:  Yishay Mansour
Link:  http://dl.acm.org/citation.cfm?id=130391
Notes:  Paper can be downloaded from a Technion computer