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Irene Gonsalvez,Jason J Li, Courtney Stevens, Justin A Chen, Cindy H Liu
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s metric on $V'$. A major open question in the area of metric embeddings is the existence of $O(1)$ multiplicative distortion SPR solutions for every (non-trivial) minor-closed family of graphs. To this end prior work has studied SPR on trees, cactus and outerplanar graphs and showed that in these graphs such a minor exists with $O(1)$ distortion. We give $O(1)$ distortion SPR solutions for series-parallel graphs, extending the frontier of this line of work. The main engine of our approach is a new metric decomposition for series-parallel graphs which we call a hammock decomposition. Roughly, a hammock decomposition is a forest-like structure that preserves certain critical parts of the metric induced by a series-parallel graph. ","authors":[{"id":"618177748672f199e5d95512","name":"D Ellis Hershkowitz"},{"id":"5408d6dcdabfae450f4467ff","name":"Jason Li"}],"create_time":"2021-04-05T13:35:19.379Z","doi":"10.4230\u002FLIPICS.ESA.2022.66","hashs":{"h1":"1sprs","h3":"g"},"id":"606ad42691e011f23f9095ad","num_citation":0,"pages":{"end":"66:17","start":"66:1"},"pdf_src":["https:\u002F\u002Farxiv.org\u002Fpdf\u002F2104.00750"],"title":"O(1) Steiner Point Removal in Series-Parallel Graphs","update_times":{"u_a_t":"2022-10-19T14:35:08.454Z","u_c_t":"2023-03-29T09:25:05.991Z","u_v_t":"2023-04-16T19:45:35.729Z"},"urls":["https:\u002F\u002Fdoi.org\u002F10.4230\u002FLIPIcs.ESA.2022.66","db\u002Fjournals\u002Fcorr\u002Fcorr2104.html#abs-2104-00750","https:\u002F\u002Farxiv.org\u002Fabs\u002F2104.00750","https:\u002F\u002Fdblp.org\u002Frec\u002Fconf\u002Fesa\u002FHershkowitzL22"],"venue":{"info":{"name":"European Symposium on Algorithms (ESA)","name_s":"ESA"},"volume":"abs\u002F2104.00750"},"venue_hhb_id":"5ea1c954edb6e7d53c00f0a1","versions":[{"id":"606ad42691e011f23f9095ad","sid":"2104.00750","src":"arxiv","year":2021},{"id":"634d809190e50fcafd4e5f73","sid":"conf\u002Fesa\u002FHershkowitzL22","src":"dblp","vsid":"conf\u002Fesa","year":2022},{"id":"64564796d68f896efae2d4fe","sid":"journals\u002Fcorr\u002Fabs-2104-00750","src":"dblp","year":2021}],"year":2022},{"abstract":"We give an O (m)-time algorithm for the edge connectivity augmentation problem and the closely related edge splitting-off problem. This is optimal up to lower order terms and closes the long line of work on these problems.","authors":[{"email":"ruoxu.cen@duke.edu","id":"637284e3ec88d95668cf0a27","name":"Ruoxu Cen","org":"Duke Univ, Dept Comp Sci, Durham, NC 27706 USA","orgid":"62331e330a6eb147dca8a719","orgs":["Duke Univ, Dept Comp Sci, Durham, NC 27706 USA"]},{"email":"jmli@cs.cmu.edu","id":"5408d6dcdabfae450f4467ff","name":"Jason Li","org":"Univ Calif Berkeley, Simons Inst Theory Comp, Berkeley, CA 94720 USA","orgs":["Univ Calif Berkeley, Simons Inst Theory Comp, Berkeley, CA 94720 USA"]},{"email":"debmalya@cs.duke.edu","id":"53f464a3dabfaeee22a4d0b4","name":"Debmalya Panigrahi","org":"Duke Univ, Dept Comp Sci, Durham, NC 27706 USA","orgid":"62331e330a6eb147dca8a719","orgs":["Duke Univ, Dept Comp Sci, Durham, NC 27706 USA"]}],"citations":{"google_citation":1,"last_citation":1},"create_time":"2022-05-11T13:45:13.286Z","doi":"10.1145\u002F3519935.3520038","hashs":{"h1":"ecant"},"id":"627b29bb5aee126c0f0fe6e2","issn":"0737-8017","keywords":["connectivity augmentation"," splitting off"," extreme sets"," minimu cuts"],"lang":"en","num_citation":2,"pages":{"end":"150","start":"137"},"pdf":"https:\u002F\u002Fcz5waila03cyo0tux1owpyofgoryroob.oss-cn-beijing.aliyuncs.com\u002F30\u002FA9\u002FE6\u002F30A9E667C124526A8D1A240ACC6CCDDB.pdf","pdf_src":["https:\u002F\u002Farxiv.org\u002Fpdf\u002F2205.04636"],"title":"Edge Connectivity Augmentation in Near-Linear Time","update_times":{"u_a_t":"2022-10-19T11:29:47.005Z","u_c_t":"2023-04-07T15:09:24.347Z","u_v_t":"2023-04-16T18:36:07.905Z"},"urls":["https:\u002F\u002Fdoi.org\u002F10.1145\u002F3519935.3520038","https:\u002F\u002Fdblp.org\u002Frec\u002Fconf\u002Fstoc\u002FCenLP22","https:\u002F\u002Farxiv.org\u002Fabs\u002F2205.04636","http:\u002F\u002Fwww.webofknowledge.com\u002F"],"venue":{"info":{"name":"PROCEEDINGS OF THE 54TH ANNUAL ACM SIGACT SYMPOSIUM ON THEORY OF COMPUTING (STOC '22)"}},"venue_hhb_id":"5ea1b7ecedb6e7d53c00cc51","versions":[{"id":"627b29bb5aee126c0f0fe6e2","sid":"2205.04636","src":"arxiv","year":2022},{"id":"634d805d90e50fcafd4e17f2","sid":"conf\u002Fstoc\u002FCenLP22","src":"dblp","vsid":"conf\u002Fstoc","year":2022},{"id":"6352726690e50fcafd934d81","sid":"WOS:000852709400013","src":"wos","vsid":"PROCEEDINGS OF THE 54TH ANNUAL ACM SIGACT SYMPOSIUM ON THEORY OF COMPUTING (STOC '22)","year":2022}],"year":2022},{"abstract":"In the Feedback Vertex Set problem, one is given an undirected graph G and an integer k , and one needs to determine whether there exists a set of k vertices that intersects all cycles of G (a so-called feedback vertex set). Feedback Vertex Set is one of the most central problems in parameterized complexity: It served as an excellent test bed for many important algorithmic techniques in the field such as Iterative Compression [Guo et al. (JCSS’06)], Randomized Branching [Becker et al. (J. Artif. Intell. Res’00)] and Cut&Count [Cygan et al. (FOCS’11)]. In particular, there has been a long race for the smallest dependence f ( k ) in run times of the type O ⋆ ( f ( k )), where the O ⋆ notation omits factors polynomial in n . This race seemed to have reached a conclusion in 2011, when a randomized O ⋆ (3 k ) time algorithm based on Cut&Count was introduced. In this work, we show the contrary and give a O ⋆ (2.7 k ) time randomized algorithm. Our algorithm combines all mentioned techniques with substantial new ideas: First, we show that, given a feedback vertex set of size k of bounded average degree, a tree decomposition of width (1 − Ω (1)) k can be found in polynomial time. Second, we give a randomized branching strategy inspired by the one from [Becker et al. (J. Artif. Intell. Res’00)] to reduce to the aforementioned bounded average degree setting. Third, we obtain significant run time improvements by employing fast matrix multiplication.","authors":[{"id":"5408d6dcdabfae450f4467ff","name":"Jason Li","org":"Carnegie Mellon University","orgid":"5f71b2861c455f439fe3c771","orgs":["Carnegie Mellon University"]},{"id":"53f390f2dabfae4b34a547c0","name":"Jesper Nederlof","org":"Utrecht University, The Netherlands","orgid":"5f71b2841c455f439fe3c6c2","orgs":["Utrecht University, The Netherlands"]}],"create_time":"2023-01-28T22:30:09.326Z","doi":"10.1145\u002F3504027","hashs":{"h1":"dfvss","h3":"[27t"},"id":"623006aa5aee126c0fa268ad","issn":"1549-6325","num_citation":0,"pages":{"end":"34:26","start":"34:1"},"title":"Detecting Feedback Vertex Sets of Size in (2.7) Time.","update_times":{"u_a_t":"2023-01-30T23:07:09.204Z","u_c_t":"2023-03-29T11:31:09.169Z","u_v_t":"2023-01-30T20:24:12.321Z"},"urls":["https:\u002F\u002Fdl.acm.org\u002Fdoi\u002F10.1145\u002F3504027","http:\u002F\u002Fdx.doi.org\u002F10.1145\u002F3504027","db\u002Fjournals\u002Ftalg\u002Ftalg18.html#LiN22","https:\u002F\u002Fdoi.org\u002F10.1145\u002F3504027"],"venue":{"info":{"name":"ACM Trans. Algorithms"},"issue":"4","volume":"18"},"venue_hhb_id":"5ea17f53edb6e7d53c0093c5","versions":[{"id":"623006aa5aee126c0fa268ad","sid":"10.1145\u002F3504027","src":"crossref"},{"id":"6282513a5aee126c0fdc97f3","sid":"W4212964627","src":"openalex"},{"id":"63d7ae9d90e50fcafdae16eb","sid":"journals\u002Ftalg\u002FLiN22","src":"dblp","vsid":"journals\u002Ftalg","year":2022},{"id":"63aa966190e50fcafd009655","sid":"10.1145\u002F3504027","src":"acm","year":2022}],"year":2022},{"abstract":"We show how to round any half-integral solution to the subtour-elimination relaxation for the TSP, while losing a less-than-1.5 factor. Such a rounding algorithm was recently given by Karlin, Klein, and Oveis Gharan based on sampling from max-entropy distributions. We build on an approach of Haddadan and Newman to show how sampling from the matroid intersection polytope, and a new use of max-entropy sampling, can give better guarantees.","authors":[{"id":"53f442b4dabfaeb22f4b249d","name":"Anupam Gupta","org":"Carnegie Mellon University","orgid":"5f71b2861c455f439fe3c771","orgs":["Carnegie Mellon University"]},{"id":"615581829e795e604ab3a692","name":"Euiwoong Lee","org":"University of Michigan","orgid":"5f71b35f1c455f439fe4267b","orgs":["University of Michigan"]},{"id":"5408d6dcdabfae450f4467ff","name":"Jason Li","org":"Simons Institute for the Theory of Computing and UC Berkeley","orgs":["Simons Institute for the Theory of Computing and UC Berkeley"]},{"id":"53f45453dabfaee02ad51113","name":"Marcin Mucha","org":"University of Warsaw","orgid":"5f71b3e51c455f439fe461b7","orgs":["University of Warsaw"]},{"email":"hanewman@andrew.cmu.edu","name":"Heather Newman","org":"Carnegie Mellon University","orgid":"5f71b2861c455f439fe3c771","orgs":["Carnegie Mellon University"]},{"name":"Sherry Sarkar","org":"Carnegie Mellon University","orgid":"5f71b2861c455f439fe3c771","orgs":["Carnegie Mellon University"]}],"create_time":"2021-11-19T13:46:06.717Z","doi":"10.1007\u002F978-3-031-06901-7_23","flags":[{"flag":"affirm_author","person_id":"53f442b4dabfaeb22f4b249d"},{"flag":"affirm_author","person_id":"53f442b4dabfaeb22f4b249d"}],"hashs":{"h1":"mtrhs"},"id":"619715f95244ab9dcb185425","issn":"0302-9743","lang":"en","num_citation":4,"pages":{"end":"318","start":"305"},"pdf":"https:\u002F\u002Fstatic.aminer.cn\u002Fstorage\u002Fpdf\u002Farxiv\u002F21\u002F2111\u002F2111.09290.pdf","pdf_src":["https:\u002F\u002Farxiv.org\u002Fpdf\u002F2111.09290"],"title":"Matroid-Based TSP Rounding for Half-Integral Solutions","update_times":{"u_a_t":"2022-10-19T18:02:58.966Z","u_c_t":"2023-03-29T10:48:42.796Z","u_v_t":"2023-04-16T20:58:30.951Z"},"urls":["db\u002Fjournals\u002Fcorr\u002Fcorr2111.html#abs-2111-09290","https:\u002F\u002Farxiv.org\u002Fabs\u002F2111.09290","https:\u002F\u002Flink.springer.com\u002Fchapter\u002F10.1007\u002F978-3-031-06901-7_23","https:\u002F\u002Fsemanticscholar.org\u002Fpaper\u002F7bf37a46e8007b5895577691554825e6e3c741a5","http:\u002F\u002Fwww.webofknowledge.com\u002F","https:\u002F\u002Fdblp.org\u002Frec\u002Fconf\u002Fipco\u002FGuptaLLMNS22","https:\u002F\u002Fdoi.org\u002F10.1007\u002F978-3-031-06901-7_23"],"venue":{"info":{"name":"Integer Programming and Combinatorial Optimization","name_s":"IPCO"},"name":"International Conference on Integer Programming and Combinatorial Optimization","volume":"13265"},"venue_hhb_id":"5ea1daecedb6e7d53c010976","versions":[{"id":"619715f95244ab9dcb185425","sid":"2111.09290","src":"arxiv","year":2021},{"id":"63385cfd90e50fcafd5d39ce","sid":"10.1007\u002F978-3-031-06901-7_23","src":"springer","vsid":"ipco, ipco","year":2022},{"id":"634d80d790e50fcafd4ec8c9","sid":"conf\u002Fipco\u002FGuptaLLMNS22","src":"dblp","vsid":"conf\u002Fipco","year":2022},{"id":"63730f8590e50fcafd429d09","sid":"WOS:000870458800021","src":"wos","vsid":"INTEGER PROGRAMMING AND COMBINATORIAL OPTIMIZATION, IPCO 2022","year":2022},{"id":"61c9e0565244ab9dcb7bf23b","sid":"7bf37a46e8007b5895577691554825e6e3c741a5","src":"semanticscholar"},{"id":"645647a2d68f896efae32b69","sid":"journals\u002Fcorr\u002Fabs-2111-09290","src":"dblp","year":2021}],"year":2022},{"authors":[{"email":"jason_li@hms.harvard.edu","id":"5408d6dcdabfae450f4467ff","name":"Jason J. Li","org":"Harvard Med Sch, Boston, MA 02115 USA","orgs":["Harvard Med Sch, Boston, MA 02115 USA"]},{"name":"Kanika Kamal"},{"name":"Hyeouk Chris Hahm"},{"name":"Cindy H. Liu"}],"create_time":"2023-02-03T20:06:21.624Z","doi":"10.1016\u002Fj.jaac.2022.09.389","hashs":{"h1":"picgp","h2":"s","h3":"gmsya"},"id":"63bfe99290e50fcafd68cd07","issn":"0890-8567","num_citation":0,"pages":{"end":"S264","start":"S264"},"title":"Psychiatric impacts of the covid-19 global pandemic on us sexual and gender minority (sgm) young adults","update_times":{"u_c_t":"2023-04-24T15:35:29.768Z","u_v_t":"2023-04-20T13:18:08.583Z"},"urls":["http:\u002F\u002Fwww.webofknowledge.com\u002F"],"venue":{"info":{"name":"JOURNAL OF THE AMERICAN ACADEMY OF CHILD AND ADOLESCENT PSYCHIATRY"},"issue":"10","volume":"61"},"venue_hhb_id":"5ea65791edb6e7d53c04541a","versions":[{"id":"63bfe99290e50fcafd68cd07","sid":"WOS:000873567901234","src":"wos"}],"year":2022}],"profilePubsTotal":184,"profilePatentsPage":0,"profilePatents":null,"profilePatentsTotal":null,"profilePatentsEnd":false,"profileProjectsPage":0,"profileProjects":null,"profileProjectsTotal":null,"newInfo":null,"checkDelPubs":[]}};