<h1>Umans, Christopher</h1> <h2>Combined from <a href="https://authors.library.caltech.edu">CaltechAUTHORS</a></h2> <ul> <li>Umans, Christopher M. (2024) <a href="https://authors.library.caltech.edu/records/byk5c-s6m73">Fast Generalized DFTs for All Finite Groups</a>; SIAM Journal on Computing; FOCS19-398-FOCS19-419; <a href="https://doi.org/10.1137/20m1316342">10.1137/20m1316342</a></li> <li>Hsu, Chloe Ching-Yun and Umans, Chris (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191115-080137932">A New Algorithm for Fast Generalized DFTs</a>; ACM Transactions on Algorithms; Vol. 16; No. 1; Art. No. 4; <a href="https://doi.org/10.1145/3301313">10.1145/3301313</a></li> <li>Umans, Christopher (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191115-133902016">Fast generalized DFTs for all finite groups</a>; ISBN 978-1-7281-4952-3; 2019 IEEE 60th Annual Symposium on Foundations of Computer Science (FOCS); 793-805; <a href="https://doi.org/10.1109/FOCS.2019.00052">10.1109/FOCS.2019.00052</a></li> <li>Bläser, Markus and Kabanets, Valentine, el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191115-154547839">Algebraic Methods in Computational Complexity</a>; Dagstuhl Reports; Vol. 8; No. 9; 133-153; <a href="https://doi.org/10.4230/DagRep.8.9.133">10.4230/DagRep.8.9.133</a></li> <li>Hsu, Chloe Ching-Yun and Umans, Chris (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180410-153010180">A fast generalized DFT for finite groups of Lie type</a>; ISBN 978-1-6119-7503-1; Proceedings of the Twenty-Ninth Annual ACM-SIAM Symposium on Discrete Algorithms; 1047-1059; <a href="https://doi.org/10.48550/arXiv.1707.00349">10.48550/arXiv.1707.00349</a></li> <li>Blasiak, Jonah and Church, Thomas, el al. (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191118-072853843">Which groups are amenable to proving exponent two for matrix multiplication?</a>; <a href="https://doi.org/10.48550/arXiv.1712.02302">10.48550/arXiv.1712.02302</a></li> <li>Umans, Chris (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191118-123714214">FOCS 2017 Preface</a>; ISBN 978-1-5386-3464-6; 2017 IEEE 58th Annual Symposium on Foundations of Computer Science (FOCS); xiii; <a href="https://doi.org/10.1109/FOCS.2017.5">10.1109/FOCS.2017.5</a></li> <li>Hsu, Chloe Ching-Yun and Umans, Chris (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191115-144427087">On Multidimensional and Monotone k-SUM</a>; ISBN 9783959770460; 42nd International Symposium on Mathematical Foundations of Computer Science; Art. No. 50; <a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.50">10.4230/LIPIcs.MFCS.2017.50</a></li> <li>Hoza, William M. and Umans, Chris (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170705-173204335">Targeted pseudorandom generators, simulation advice generators, and derandomizing logspace</a>; ISBN 978-1-4503-4528-6; Proceedings of the 49th Annual ACM SIGACT Symposium on Theory of Computing - STOC 2017; 629-640; <a href="https://doi.org/10.1145/3055399.3055414">10.1145/3055399.3055414</a></li> <li>Blasiak, Jonah and Church, Thomas, el al. (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170531-152830870">On cap sets and the group-theoretic approach to matrix multiplication</a>; Discrete Analysis; Vol. 2017; No. 3; 1-27; <a href="https://doi.org/10.19086/da.1245">10.19086/da.1245</a></li> <li>Kabanets, Valentine and Thierauf, Thomas, el al. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191118-153821359">Algebraic and Combinatorial Methods in Computational Complexity</a>; Dagstuhl Reports; Vol. 6; No. 10; 13-32; <a href="https://doi.org/10.4230/DagRep.6.10.13">10.4230/DagRep.6.10.13</a></li> <li>Fefferman, Bill and Umans, Christopher (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191118-141357870">On the Power of Quantum Fourier Sampling</a>; ISBN 9783959770194; 11th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2016); Art. No. 1; <a href="https://doi.org/10.4230/LIPIcs.TQC.2016.1">10.4230/LIPIcs.TQC.2016.1</a></li> <li>Guo, Zeyu and Narayanan, Anand Kumar, el al. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191118-103356388">Algebraic Problems Equivalent to Beating Exponent 3/2 for Polynomial Factorization over Finite Fields</a>; ISBN 9783959770163; 41st International Symposium on Mathematical Foundations of Computer Science (MFCS 2016); Art. No. 47; <a href="https://doi.org/10.4230/LIPIcs.MFCS.2016.47">10.4230/LIPIcs.MFCS.2016.47</a></li> <li>Agrawal, Manindra and Kabanets, Valentine, el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191126-133603851">Algebra in Computational Complexity</a>; Dagstuhl Reports; Vol. 4; No. 9; 85-105; <a href="https://doi.org/10.4230/DagRep.4.9.85">10.4230/DagRep.4.9.85</a></li> <li>Umans, Christopher (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140701-090549753">Special Issue "Conference on Computational Complexity 2013" Guest editor's foreword</a>; Computational Complexity; Vol. 23; No. 2; 147-149; <a href="https://doi.org/10.1007/s00037-014-0088-x">10.1007/s00037-014-0088-x</a></li> <li>Fefferman, Bill and Shaltiel, Ronen, el al. (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191118-154821951">On Beating the Hybrid Argument</a>; Theory of Computing; Vol. 9; No. 1; 809-843; <a href="https://doi.org/10.4086/toc.2013.v009a026">10.4086/toc.2013.v009a026</a></li> <li>Alon, Noga and Shpilka, Amir, el al. (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130703-102109533">On sunflowers and matrix multiplication</a>; Computational Complexity; Vol. 22; No. 2; 219-243; <a href="https://doi.org/10.1007/s00037-013-0060-1">10.1007/s00037-013-0060-1</a></li> <li>Cohn, Henry and Umans, Christopher (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160913-165513831">Fast matrix multiplication using coherent configurations</a>; ISBN 978-1-61197-251-1; Proceedings of the Twenty-Fourth Annual ACM-SIAM Symposium on Discrete Algorithms; 1074-1087; <a href="https://doi.org/10.1137/1.9781611973105.77">10.1137/1.9781611973105.77</a></li> <li>Immorlica, Nicole and Katz, Jonathan N., el al. (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191126-134942908">Special Section on the Forty-First Annual ACM Symposium on Theory of Computing (STOC 2009)</a>; SIAM Journal on Computing; Vol. 41; No. 6; 1591-1592; <a href="https://doi.org/10.1137/120973305">10.1137/120973305</a></li> <li>Agrawal, Manindra and Thierauf, Thomas, el al. (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191126-143839781">Algebraic and Combinatorial Methods in Computational Complexity</a>; Dagstuhl Reports; Vol. 2; No. 10; 60-78; <a href="https://doi.org/10.4230/DagRep.2.10.60">10.4230/DagRep.2.10.60</a></li> <li>Ta-Shma, Amnon and Umans, Christopher (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191126-140535982">Better Condensers and New Extractors from Parvaresh-Vardy Codes</a>; ISBN 9780769547084; 2012 IEEE 27th Conference on Computational Complexity; 309-315; <a href="https://doi.org/10.1109/ccc.2012.25">10.1109/ccc.2012.25</a></li> <li>Alon, Noga and Shpilka, Amir, el al. (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130703-110037886">On Sunflowers and Matrix Multiplication</a>; ISBN 978-1-4673-1663-7; 27th Annual IEEE Conference on Computational Complexity (CCC); 214-223; <a href="https://doi.org/10.1109/CCC.2012.26">10.1109/CCC.2012.26</a></li> <li>Fefferman, Bill and Shaltiel, Ronen, el al. (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120522-093532704">On beating the hybrid argument</a>; ISBN 978-1-4503-1115-1; Proceedings of the 3rd Innovations in Theoretical Computer Science Conference; 468-483; <a href="https://doi.org/10.1145/2090236.2090273">10.1145/2090236.2090273</a></li> <li>Kedlaya, Kiran S. and Umans, Christopher (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120125-151548395">Fast Polynomial Factorization and Modular Composition</a>; SIAM Journal on Computing; Vol. 40; No. 6; 1767-1802; <a href="https://doi.org/10.1137/08073408X">10.1137/08073408X</a></li> <li>Alon, Noga and Shpilka, Amir, el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191126-142038137">On Sunflowers and Matrix Multiplication</a>; Electronic Colloquium on Computational Complexity; Vol. 2011; Art. No. 67</li> <li>Buchfuhrer, David and Umans, Christopher (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110422-100438828">The complexity of Boolean formula minimization</a>; Journal of Computer and System Sciences; Vol. 77; No. 1; 142-153; <a href="https://doi.org/10.1016/j.jcss.2010.06.011">10.1016/j.jcss.2010.06.011</a></li> <li>Fefferman, Bill and Umans, Christopher, el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191126-153323226">On beating the hybrid argument</a>; Electronic Colloquium on Computational Complexity; Vol. 2010; Art. No. 186</li> <li>Fefferman, Bill and Umans, Chris (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191118-130935010">Pseudorandom generators and the BQP vs. PH problem</a>; <a href="https://doi.org/10.48550/arXiv.1007.0305">10.48550/arXiv.1007.0305</a></li> <li>Lee, James R. and Umans, Chris (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191126-150500984">Special Section On Foundations of Computer Science</a>; SIAM Journal on Computing; Vol. 39; No. 6; 2397-2397; <a href="https://doi.org/10.1137/smjcat000039000006002397000001">10.1137/smjcat000039000006002397000001</a></li> <li>Buchfuhrer, Dave and Dughmi, Shaddin, el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100824-073813316">Inapproximability for VCG-Based Combinatorial Auctions</a>; ISBN 978-0-898717-01-3; Proceedings of the Twenty-first Annual ACM-SIAM Symposium on Discrete Algorithms; 518-536</li> <li>Kalyanaraman, Shankar and Umans, Christopher (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191127-082201341">The Complexity of Rationalizing Network Formation</a>; Electronic Colloquium on Computational Complexity; Vol. 2009; Art. No. 145</li> <li>Dick, Kevin and Umans, Christopher (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191127-080702908">Improved inapproximability factors for some Σ^p₂ minimization problems</a>; Electronic Colloquium on Computational Complexity; Vol. 2009; Art. No. 107</li> <li>Agrawal, Manindra and Fortnow, Lance, el al. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191127-075729203">Algebraic Methods in Computational Complexity</a></li> <li>Kalyanaraman, Shankar and Umans, Christopher (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100707-095613286">The Complexity of Rationalizing Network Formation</a>; ISBN 978-1-4244-5116-6; 50th Annual IEEE Symposium on Foundations of Computer Science, 2009; 485-494; <a href="https://doi.org/10.1109/FOCS.2009.48">10.1109/FOCS.2009.48</a></li> <li>Agrawal, Manindra and Fortnow, Lance, el al. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191127-093701543">Algebraic Methods in Computational Complexity</a></li> <li>Shaltiel, Ronen and Umans, Christopher (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20091023-111539349">Low-End Uniform Hardness versus Randomness Tradeoffs for AM</a>; SIAM Journal on Computing; Vol. 39; No. 3; 1006-1037; <a href="https://doi.org/10.1137/070698348">10.1137/070698348</a></li> <li>Umans, Christopher (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20090901-145722580">Reconstructive Dispersers and Hitting Set Generators</a>; Algorithmica; Vol. 55; No. 1; 134-156; <a href="https://doi.org/10.1007/s00453-008-9266-z">10.1007/s00453-008-9266-z</a></li> <li>Buchfuhrer, David and Umans, Christopher (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191127-082848396">Limits on the Social Welfare of Maximal-In-Range Auction Mechanisms</a>; Electronic Colloquium on Computational Complexity; Vol. 2009; Art. No. 68</li> <li>Guruswami, Venkatesan and Umans, Christopher, el al. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20090817-144815953">Unbalanced expanders and randomness extractors from Parvaresh-Vardy codes</a>; Journal of the ACM; Vol. 56; No. 4; 20; <a href="https://doi.org/10.1145/1538902.1538904">10.1145/1538902.1538904</a></li> <li>Asodi, Vera and Umans, Christopher (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20090422-111344642">The complexity of the matroid-greedoid partition problem</a>; Theoretical Computer Science; Vol. 410; No. 8-10; 859-866; <a href="https://doi.org/10.1016/j.tcs.2008.11.019">10.1016/j.tcs.2008.11.019</a></li> <li>Kalyanaraman, Shankar and Umans, Christopher (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191126-155702845">The Complexity of Rationalizing Matchings</a>; ISBN 978-3-540-92181-3; Algorithms and Computation; 171-182; <a href="https://doi.org/10.1007/978-3-540-92182-0_18">10.1007/978-3-540-92182-0_18</a></li> <li>Kedlaya, Kiran S. and Umans, Christopher (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191126-160438923">Fast Modular Composition in any Characteristic</a>; ISBN 978-0-7695-3436-7; 2008 49th Annual IEEE Symposium on Foundations of Computer Science; 146-155; <a href="https://doi.org/10.1109/focs.2008.13">10.1109/focs.2008.13</a></li> <li>Fortnow, Lance and Impagliazzo, Russell, el al. (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:FORcc08">On the Complexity of Succinct Zero-Sum Games</a>; Computational Complexity; Vol. 17; No. 3; 353-376; <a href="https://doi.org/10.1007/s00037-008-0252-2">10.1007/s00037-008-0252-2</a></li> <li>Kedlaya, Kiran S. and Umans, Christopher (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191127-094213132">Fast polynomial factorization and modular composition</a></li> <li>Buchfuhrer, David and Umans, Christopher (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191112-131623581">The Complexity of Boolean Formula Minimization</a>; ISBN 978-3-540-70574-1; Automata, Languages and Programming; 24-35; <a href="https://doi.org/10.1007/978-3-540-70575-8_3">10.1007/978-3-540-70575-8_3</a></li> <li>Umans, Christopher (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170103-171822942">Fast polynomial factorization and modular composition in small characteristic</a>; ISBN 978-1-60558-047-0; STOC '08 Proceedings of the fortieth annual ACM symposium on Theory of computing; 481-490; <a href="https://doi.org/10.1145/1374376.1374445">10.1145/1374376.1374445</a></li> <li>Kalyanaraman, Shankar and Umans, Christopher (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191127-084809601">The Complexity of Rationalizing Matchings</a>; Electronic Colloquium on Computational Complexity; Art. No. 21</li> <li>Kalyanaraman, Shankar and Umans, Christopher (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190828-102317126">Algorithms for Playing Games with Limited Randomness</a>; ISBN 9783540755197; Algorithms – ESA 2007; 323-334; <a href="https://doi.org/10.1007/978-3-540-75520-3_30">10.1007/978-3-540-75520-3_30</a></li> <li>Guruswami, Venkatesan and Umans, Christopher, el al. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170426-160240908">Unbalanced Expanders and Randomness Extractors from Parvaresh-Vardy Codes</a>; ISBN 0-7695-2780-9; Twenty-Second Annual IEEE Conference on Computational Complexity (CCC'07); 96-108; <a href="https://doi.org/10.1109/CCC.2007.38">10.1109/CCC.2007.38</a></li> <li>Shaltiel, Ronen and Umans, Christopher (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161219-151217993">Low-end uniform hardness vs. randomness tradeoffs for AM</a>; ISBN 978-1-59593-631-8; STOC '07 Proceedings of the thirty-ninth annual ACM symposium on Theory of computing; 430-439; <a href="https://doi.org/10.1145/1250790.1250854">10.1145/1250790.1250854</a></li> <li>Shaltiel, Ronen and Umans, Christopher (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110811-085055181">Pseudorandomness for Approximate Counting and Sampling</a>; Computational Complexity; Vol. 15; No. 4; 298-341; <a href="https://doi.org/10.1007/s00037-007-0218-9">10.1007/s00037-007-0218-9</a></li> <li>Kalyanaraman, Shankar and Umans, Christopher (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190828-102318013">On Obtaining Pseudorandomness from Error-Correcting Codes</a>; ISBN 9783540499947; FSTTCS 2006: Foundations of Software Technology and Theoretical Computer Science; 105-116; <a href="https://doi.org/10.1007/11944836_12">10.1007/11944836_12</a></li> <li>Kalyanaraman, Shankar and Umans, Christopher (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190829-152850467">On obtaining pseudorandomness from error-correcting codes</a>; Electronic Colloquium on Computational Complexity; Vol. 2006; TR06-128</li> <li>Ta-Shma, Amnon and Umans, Christopher (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170427-151755097">Better lossless condensers through derandomized curve samplers</a>; ISBN 0-7695-2720-5; 47th Annual IEEE Symposium on Foundations of Computer Science (FOCS'06); 177-186; <a href="https://doi.org/10.1109/FOCS.2006.18">10.1109/FOCS.2006.18</a></li> <li>Umans, Christopher and Villa, Tiziano, el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:UMAieeetcadics06">Complexity of two-level logic minimization</a>; IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems; Vol. 25; No. 7; 1230-1246; <a href="https://doi.org/10.1109/TCAD.2005.855944">10.1109/TCAD.2005.855944</a></li> <li>Umans, Christopher (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170103-170341500">Group-theoretic algorithms for matrix multiplication</a>; ISBN 1-59593-276-3; ISSAC '06 Proceedings of the 2006 international symposium on Symbolic and algebraic computation; 5; <a href="https://doi.org/10.1145/1145768.1145772">10.1145/1145768.1145772</a></li> <li>Umans, Christopher (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200127-140148446">Optimization Problems in the Polynomial-Time Hierarchy</a>; ISBN 978-3-540-34021-8; Theory and Applications of Models of Computation; 345-355; <a href="https://doi.org/10.1007/11750321_33">10.1007/11750321_33</a></li> <li>Shaltiel, Ronen and Umans, Christopher (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161219-150257214">Simple extractors for all min-entropies and a new pseudorandom generator</a>; Journal of the ACM; Vol. 52; No. 2; 172-216; <a href="https://doi.org/10.1145/1059513.1059516">10.1145/1059513.1059516</a></li> <li>Umans, Christopher (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200609-101642741">Reconstructive Dispersers and Hitting Set Generators</a>; ISBN 978-3-540-28239-6; Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques; 460-471; <a href="https://doi.org/10.1007/11538462_39">10.1007/11538462_39</a></li> <li>Cohn, Henry and Kleinberg, Robert, el al. (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110609-141427936">Group-theoretic Algorithms for Matrix Multiplication</a>; ISBN 0-7695-2468-0; 46th Annual IEEE Symposium on Foundations of Computer Science; 379-388; <a href="https://doi.org/10.1109/SFCS.2005.39">10.1109/SFCS.2005.39</a></li> <li>Cohn, Henry and Umans, Christopher (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20111026-095124253">A Group-theoretic Approach to Fast Matrix Multiplication</a>; ISBN 0-7695-2040-5; 44th Annual IEEE Symposium on Foundations of Computer Science; 438-449; <a href="https://doi.org/10.1109/SFCS.2003.1238217">10.1109/SFCS.2003.1238217</a></li> <li>Umans, Christopher (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20111110-081820059">Pseudo-Random Generators for All Hardnesses</a>; ISBN 0-7695-1468-5; 17th Annual Conference on Computational Complexity; 7-7; <a href="https://doi.org/10.1109/CCC.2002.1004326">10.1109/CCC.2002.1004326</a></li> <li>Shaltiel, Ronen and Umans, Christopher (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20111121-092803461">Simple Extractors for All Min-Entropies and a New Pseudo-Random Generator</a>; ISBN 0-7695-1390-5; 42nd Annual Symposium on Foundations of Computer Science; 648-657; <a href="https://doi.org/10.1109/SFCS.2001.959941">10.1109/SFCS.2001.959941</a></li> <li>Mossel, Elchanan and Umans, Christopher (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20111118-115638180">On the Complexity of Approximating the VC dimension</a>; ISBN 0-7695-1054-X; 16th Annual IEEE Conference on Computational Complexity Proceedings; 220-225; <a href="https://doi.org/10.1109/CCC.2001.933889">10.1109/CCC.2001.933889</a></li> <li>Umans, Christopher (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120109-142652598">Hardness of Approximating Σ^(p)_(2) Minimization Problems</a>; ISBN 0-7695-0409-4; 40th Annual Symposium on Foundations of Computer Science; 465-474; <a href="https://doi.org/10.1109/SFFCS.1999.814619">10.1109/SFFCS.1999.814619</a></li> <li>Umans, Christopher (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120119-070934161">The Minimum Equivalent DNF Problem and Shortest Implicants</a>; ISBN 0-8186-9172-7; 39th Annual Symposium on Foundations of Computer Science; 556-563; <a href="https://doi.org/10.1109/SFCS.1998.743506">10.1109/SFCS.1998.743506</a></li> <li>Umans, Christopher and Lenhart, William (1997) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120126-092849476">Hamiltonian cycles in solid grid graphs</a>; ISBN 0-8186-8197-7; 38th Annual Symposium on Foundations of Computer Science: Proceedings; 496-505; <a href="https://doi.org/10.1109/SFCS.1997.646138">10.1109/SFCS.1997.646138</a></li> </ul>