{"citation":{"mla":"Chatterjee, Krishnendu, et al. <i>Optimal Tree-Decomposition Balancing and Reachability on Low Treewidth Graphs</i>. IST Austria, 2014, doi:<a href=\"https://doi.org/10.15479/AT:IST-2014-314-v1-1\">10.15479/AT:IST-2014-314-v1-1</a>.","ama":"Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. <i>Optimal Tree-Decomposition Balancing and Reachability on Low Treewidth Graphs</i>. IST Austria; 2014. doi:<a href=\"https://doi.org/10.15479/AT:IST-2014-314-v1-1\">10.15479/AT:IST-2014-314-v1-1</a>","ieee":"K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, <i>Optimal tree-decomposition balancing and reachability on low treewidth graphs</i>. IST Austria, 2014.","ista":"Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2014. Optimal tree-decomposition balancing and reachability on low treewidth graphs, IST Austria, 24p.","short":"K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, Optimal Tree-Decomposition Balancing and Reachability on Low Treewidth Graphs, IST Austria, 2014.","apa":"Chatterjee, K., Ibsen-Jensen, R., &#38; Pavlogiannis, A. (2014). <i>Optimal tree-decomposition balancing and reachability on low treewidth graphs</i>. IST Austria. <a href=\"https://doi.org/10.15479/AT:IST-2014-314-v1-1\">https://doi.org/10.15479/AT:IST-2014-314-v1-1</a>","chicago":"Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis. <i>Optimal Tree-Decomposition Balancing and Reachability on Low Treewidth Graphs</i>. IST Austria, 2014. <a href=\"https://doi.org/10.15479/AT:IST-2014-314-v1-1\">https://doi.org/10.15479/AT:IST-2014-314-v1-1</a>."},"type":"technical_report","date_published":"2014-11-05T00:00:00Z","has_accepted_license":"1","day":"05","publication_status":"published","date_created":"2018-12-12T11:39:16Z","doi":"10.15479/AT:IST-2014-314-v1-1","title":"Optimal tree-decomposition balancing and reachability on low treewidth graphs","author":[{"first_name":"Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","last_name":"Chatterjee"},{"orcid":"0000-0003-4783-0389","id":"3B699956-F248-11E8-B48F-1D18A9856A87","full_name":"Ibsen-Jensen, Rasmus","last_name":"Ibsen-Jensen","first_name":"Rasmus"},{"id":"49704004-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8943-0722","full_name":"Pavlogiannis, Andreas","last_name":"Pavlogiannis","first_name":"Andreas"}],"date_updated":"2021-01-12T08:02:09Z","month":"11","_id":"5427","alternative_title":["IST Austria Technical Report"],"ddc":["000"],"year":"2014","abstract":[{"text":"We consider graphs with n nodes together with their tree-decomposition that has b = O ( n ) bags and width t , on the standard RAM computational model with wordsize W = Θ (log n ) . Our contributions are two-fold: Our first contribution is an algorithm that given a graph and its tree-decomposition as input, computes a binary and balanced tree-decomposition of width at most 4 · t + 3 of the graph in O ( b ) time and space, improving a long-standing (from 1992) bound of O ( n · log n ) time for constant treewidth graphs. Our second contribution is on reachability queries for low treewidth graphs. We build on our tree-balancing algorithm and present a data-structure for graph reachability that requires O ( n · t 2 ) preprocessing time, O ( n · t ) space, and O ( d t/ log n e ) time for pair queries, and O ( n · t · log t/ log n ) time for single-source queries. For constant t our data-structure uses O ( n ) time for preprocessing, O (1) time for pair queries, and O ( n/ log n ) time for single-source queries. This is (asymptotically) optimal and is faster than DFS/BFS when answering more than a constant number of single-source queries.","lang":"eng"}],"oa":1,"publication_identifier":{"issn":["2664-1690"]},"pubrep_id":"314","publisher":"IST Austria","language":[{"iso":"eng"}],"status":"public","oa_version":"Published Version","page":"24","file_date_updated":"2020-07-14T12:46:52Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","file":[{"file_size":405561,"date_updated":"2020-07-14T12:46:52Z","creator":"system","content_type":"application/pdf","date_created":"2018-12-12T11:53:10Z","file_id":"5471","checksum":"9d3b90bf4fff74664f182f2d95ef727a","file_name":"IST-2014-314-v1+1_long.pdf","access_level":"open_access","relation":"main_file"}],"department":[{"_id":"KrCh"}]}