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<title>Dynamic Graph Algorithms Monika Henzinger Monika Rauch Dynamic Graph Algorithm</title><h2>Design and Analysis of Efficient Dynamic Graph Algorithms</h2><i><a href="http://www.cs.cornell.edu/Info/People/mhr/home.html">Monika R. Henzinger</a></i><h3><a name="data_structures">Dynamic Graph Algorithms</a></h3><OL><p><li>Monika R. Henzinger.<b>Fully Dynamic Cycle-Equivalence in Graphs.</b><i>Proceedings of the 35rd Annual IEEE Symposium on Foundations of Computer Science</i>(FOCS 1994), pp. 744-755.<a href="abstract/ab5.gif">Abstract.</a>Ftp<a href="http://www.cs.cornell.edu/Info/People/mhr/papers/cycle-equiv.ps">postscript.</a><p>For applications of cycle-equivalence in compilers see:<ul><li>Richard Johnson, David Pearson, and Keshav Pingali.<b>Finding Regions Fast: Single Entry Single Exit and Control Regionsin Linear Time.</b> <i>Proceedings of ACM SIGPLAN '94 Conference on Programming Language Design and Implementation,</i> pp. 171-185.<li>Robert E. Tarjan and Jacobo Valdes.<b>Prime subprogram parsing of a program.</b><i>Conference Record of the seventh Annual ACM Symposium on Principlesof Programming Languages</i> (POPL 1980), pp. 28-30.</ul><p><li>David Alberts and Monika R. Henzinger.<b>Average Case Analysis of Dynamic Graph Algorithms.</b><i>Proceedings of the Sixth Annual ACM-SIAM Symposium on Discrete Algorithms</i>(SODA 1995), pp. 312-321.<a href="abstract/ab6.gif">Abstract.</a>Ftp<a href="http://www.cs.cornell.edu/Info/People/mhr/papers/average.ps">postscript.</a><p><li>Monika R. Henzinger.<b>Approximating Minimum Cuts under Insertions.</b><i>Proceedings of the 22nd International Colloquium on Automata, Languages, and Programming</i>(ICALP 1995), Lecture Notes in Computer Science 944,Springer-Verlag, 1995, pp. 280-291.<a href="abstract/ab7.gif">Abstract.</a>Ftp<a href="http://www.cs.cornell.edu/Info/People/mhr/papers/mincut.ps">postscript.</a><p><li>Monika R. Henzinger and Valerie King.<b>Randomized Dynamic Graph Algorithms with Polylogarithmic Timeper Operation.</b><i>Proceedings of the 27th Annual ACM Symposium on Theory of Computing</i>(STOC 1995), pp. 519-527. Invited to a special issue of <i>Journal of Computer and System Sciences</i> on selected papers ofSTOC 1995.<a href="abstract/ab8.gif">Abstract.</a>Ftp<a href="http://www.cs.cornell.edu/Info/People/mhr/papers/connectivity.ps">postscript.</a><p>Implementation by David Alberts:<ul><li><a href="ftp://ftp.inf.fu-berlin.de/pub/misc/dyn_con">Source Code</a><li>David Alberts, Giuseppe Cattaneo, and Giuseppe F. Italiano.<b>An Empirical Study of Dynamic Graph Algorithms.</b><i>Proceedings of the Seventh Annual ACM-SIAM Symposium on Discrete Algorithms</i>(SODA 1996).</ul><p><li>Monika R. Henzinger and Han La Poutre.<b>Certificates and Fast Algorithms for Biconnectivity in Fully-Dynamic Graphs.</b><i>Proceedings of the Third Annual European Symposium on Algorithms</i>(ESA 1995), pp. 171-184.<a href="abstract/ab9.html">Abstract.</a>Ftp<a href="http://www.cs.cornell.edu/Info/People/mhr/papers/certificates.ps">postscript.</a><p><li>Monika R. Henzinger and Valerie King.<b>Fully Dynamic Biconnectivity and Transitive Closure.</b>To appear in<i>Proceedings of the 36th Annual IEEE Symposium on Foundations of Computer Science</i>(FOCS 1995).<a href="abstract/ab10.gif">Abstract.</a>Ftp<a href="http://www.cs.cornell.edu/Info/People/mhr/papers/transitive.ps">postscript.</a><p><li>Monika R. Henzinger and Mikkel Thorup.<b>Improved Sampling with Applications to Dynamic Graph Algorithms.</b><i>Proceedings of the 23rd International Colloquium on Automata, Languages, and Programming</i>(ICALP 1996), Lecture Notes in Computer Science,Springer-Verlag, 1996.<a href="abstract/ab106.gif">Abstract.</a>Ftp<a href="http://www.cs.cornell.edu/Info/People/mhr/papers/sampling.ps">postscript.</a><h3><a name="Graph Theory">Applications of dynamic graph algorithms</a></h3><p><li>Monika R. Henzinger, Valerie King, and Tandy Warnow.<b>Constructing a Tree from Homeomorphic Subtrees.</b><i>Proceedings of the 7th Annual ACM-SIAM Symposiumon Discrete Algorithms</i> (SODA 1996).<a href="abstract/ab105.gif">Abstract.</a>Ftp<a href="http://www.cs.cornell.edu/Info/People/mhr/papers/bio.ps">postscript.</a><p><li>Monika Rauch Henzinger and Jan Arne Telle.<b>Faster Algorithms for the Nonemptiness of Streett Automata andfor Communication Protocol Pruning.</b><i>Proceedings of the 5thScandinavian Workshop on Algorithm Theory</i>(SWAT'96).<a href="abstract/miss.gif">Abstract.</a>Ftp<a href="http://www.cs.cornell.edu/Info/People/mhr/papers/swat96.html">postscript.</a><h3><a name="Lower Bounds">Lower bounds for dynamic graph algorithms</a></h3><p><li>Michael L. Fredman and Monika R. Henzinger.<b>Lower Bounds for Fully Dynamic Connectivity Problems in Graphs.</b><i>to appear in Algorithmica</i><a href="abstract/ab15.gif">Abstract.</a>Ftp<a href="http://www.cs.cornell.edu/Info/People/mhr/papers/lower2.ps">postscript.</a><p><li>P. B. Miltersen, S. Subramanian, J. S. Vitter, and R. Tamassia.<b>Complexity Models for Incremental Computation.</b><i> Theoret. Comput. Science 130, 1994, 203--236.</i></ol><i>Last updated on June 18, 1996.<br>mhr@cs.cornell.edu</i>
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