{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,5]],"date-time":"2026-08-05T23:11:09Z","timestamp":1785971469734,"version":"3.56.0"},"reference-count":34,"publisher":"Association for Computing Machinery (ACM)","issue":"2","license":[{"start":{"date-parts":[[2016,8,8]],"date-time":"2016-08-08T00:00:00Z","timestamp":1470614400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"funder":[{"name":"NSF CAREER","award":["CCF-1149048"],"award-info":[{"award-number":["CCF-1149048"]}]},{"name":"Institute of Computational and Experimental Mathematics"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Trans. Parallel Comput."],"published-print":{"date-parts":[[2016,8,8]]},"abstract":"<jats:p>We describe simple algorithms for spectral graph sparsification, based on iterative computations of weighted spanners and sampling. Leveraging the algorithms of Baswana and Sen for computing spanners, we obtain the first distributed spectral sparsification algorithm in the CONGEST model. We also obtain a parallel algorithm with improved work and time guarantees, as well as other natural distributed implementations. Combining this algorithm with the parallel framework of Peng and Spielman for solving symmetric diagonally dominant linear systems, we get a parallel solver that is significantly more efficient in terms of the total work.<\/jats:p>","DOI":"10.1145\/2948062","type":"journal-article","created":{"date-parts":[[2016,8,8]],"date-time":"2016-08-08T13:10:44Z","timestamp":1470661844000},"page":"1-14","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":17,"title":["Simple Parallel and Distributed Algorithms for Spectral Graph Sparsification"],"prefix":"10.1145","volume":"3","author":[{"given":"Ioannis","family":"Koutis","sequence":"first","affiliation":[{"name":"Computer Science Department, University of Puerto Rico-Rio Piedras, San Juan, PR"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shen Chen","family":"Xu","sequence":"additional","affiliation":[{"name":"Computer Science Department, Carnegie Mellon University, Pittsburgh, PA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"320","published-online":{"date-parts":[[2016,8,8]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1145\/1502793.1502794"},{"key":"e_1_2_1_2_1","doi-asserted-by":"crossref","volume-title":"Iterative Solution Methods","author":"Axelsson Owe","DOI":"10.1017\/CBO9780511624100"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.5555\/1255378.1255381"},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1145\/1536414.1536451"},{"key":"e_1_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1145\/2492007.2492029"},{"key":"e_1_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479801390637"},{"key":"e_1_2_1_7_1","doi-asserted-by":"crossref","volume-title":"Multigrid Methods","author":"Bramble James H.","DOI":"10.1201\/9780203746332"},{"key":"e_1_2_1_8_1","unstructured":"Peter G. Doyle and J. Laurie Snell. 2000. Random Walks and Electric Networks. (2000).  Peter G. Doyle and J. Laurie Snell. 2000. Random Walks and Electric Networks. (2000)."},{"key":"e_1_2_1_9_1","unstructured":"N. Harvey. 2012. Matrix Concentration. http:\/\/www.cs.rpi.edu\/&sim;drinep\/RandNLA\/slides\/Harvey_RandNLA @FOCS_2012.pdf. (2012).  N. Harvey. 2012. Matrix Concentration. http:\/\/www.cs.rpi.edu\/&sim;drinep\/RandNLA\/slides\/Harvey_RandNLA @FOCS_2012.pdf. (2012)."},{"key":"e_1_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1145\/2090236.2090267"},{"key":"e_1_2_1_11_1","volume-title":"Proceeding of the 28th International Symposium on Theoretical Aspects of Computer Science, STACS. 440--451","author":"Jonathan"},{"key":"e_1_2_1_12_1","volume-title":"A simple, combinatorial algorithm for solving SDD systems in nearly-linear time. CoRR abs\/1301.6628","author":"Kelner Jonathan A.","year":"2013"},{"key":"e_1_2_1_13_1","doi-asserted-by":"publisher","DOI":"10.1145\/1806689.1806699"},{"key":"e_1_2_1_14_1","doi-asserted-by":"publisher","DOI":"10.1145\/2612669.2612676"},{"key":"e_1_2_1_15_1","volume-title":"Faster spectral sparsification and numerical algorithms for SDD matrices. CoRR abs\/1209.5821","author":"Koutis Ioannis","year":"2012"},{"key":"e_1_2_1_16_1","volume-title":"Proceedings of the 29th International Symposium on Theoretical Aspects of Computer Science, STACS. 266--277","author":"Koutis Ioannis","year":"2012"},{"key":"e_1_2_1_17_1","volume-title":"Conference Talk.","author":"Koutis Ioannis","year":"2009"},{"key":"e_1_2_1_18_1","doi-asserted-by":"publisher","DOI":"10.1109\/FOCS.2011.85"},{"key":"e_1_2_1_19_1","doi-asserted-by":"publisher","DOI":"10.1145\/2347736.2347759"},{"key":"e_1_2_1_20_1","doi-asserted-by":"publisher","DOI":"10.1137\/110845914"},{"key":"e_1_2_1_21_1","doi-asserted-by":"publisher","DOI":"10.1145\/2461912.2461992"},{"key":"e_1_2_1_22_1","volume-title":"Introduction to Parallel Computing","author":"Kumar Vipin","edition":"2"},{"key":"e_1_2_1_23_1","doi-asserted-by":"publisher","DOI":"10.1137\/110843563"},{"key":"e_1_2_1_24_1","doi-asserted-by":"publisher","DOI":"10.1145\/2755573.2755574"},{"key":"e_1_2_1_25_1","volume-title":"Vishnoi","author":"Orecchia Lorenzo","year":"2011"},{"key":"e_1_2_1_26_1","volume-title":"Algorithms and theory of computation handbook","author":"Pandurangan Gopal","year":"1882"},{"key":"e_1_2_1_27_1","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898719772"},{"key":"e_1_2_1_29_1","doi-asserted-by":"publisher","DOI":"10.1145\/2591796.2591832"},{"key":"e_1_2_1_30_1","volume-title":"Anisur Rahaman Molla, and Gopal Pandurangan","author":"Sarma Atish Das","year":"2013"},{"key":"e_1_2_1_31_1","doi-asserted-by":"publisher","DOI":"10.1145\/1374376.1374456"},{"key":"e_1_2_1_32_1","doi-asserted-by":"publisher","DOI":"10.1145\/1007352.1007372"},{"key":"e_1_2_1_33_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-13562-0_2"},{"key":"e_1_2_1_34_1","doi-asserted-by":"publisher","DOI":"10.1145\/1044731.1044732"},{"key":"e_1_2_1_35_1","doi-asserted-by":"publisher","DOI":"10.5555\/2908052.3115530"}],"container-title":["ACM Transactions on Parallel Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2948062","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/2948062","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T04:55:43Z","timestamp":1750222543000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2948062"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,8,8]]},"references-count":34,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2016,8,8]]}},"alternative-id":["10.1145\/2948062"],"URL":"https:\/\/doi.org\/10.1145\/2948062","relation":{},"ISSN":["2329-4949","2329-4957"],"issn-type":[{"value":"2329-4949","type":"print"},{"value":"2329-4957","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,8,8]]},"assertion":[{"value":"2014-08-01","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2016-05-01","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2016-08-08","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}