{"date_created":"2018-12-11T11:48:41Z","title":"Phase transitions in integer linear problems","article_number":"093404","quality_controlled":"1","publication_status":"published","month":"09","language":[{"iso":"eng"}],"publist_id":"6826","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1705.06303"}],"publisher":"IOPscience","project":[{"call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","grant_number":"291734"}],"ec_funded":1,"citation":{"mla":"Colabrese, Simona, et al. “Phase Transitions in Integer Linear Problems.” <i> Journal of Statistical Mechanics: Theory and Experiment</i>, vol. 2017, no. 9, 093404, IOPscience, 2017, doi:<a href=\"https://doi.org/10.1088/1742-5468/aa85c3\">10.1088/1742-5468/aa85c3</a>.","ama":"Colabrese S, De Martino D, Leuzzi L, Marinari E. Phase transitions in integer linear problems. <i> Journal of Statistical Mechanics: Theory and Experiment</i>. 2017;2017(9). doi:<a href=\"https://doi.org/10.1088/1742-5468/aa85c3\">10.1088/1742-5468/aa85c3</a>","short":"S. Colabrese, D. De Martino, L. Leuzzi, E. Marinari,  Journal of Statistical Mechanics: Theory and Experiment 2017 (2017).","ista":"Colabrese S, De Martino D, Leuzzi L, Marinari E. 2017. Phase transitions in integer linear problems.  Journal of Statistical Mechanics: Theory and Experiment. 2017(9), 093404.","chicago":"Colabrese, Simona, Daniele De Martino, Luca Leuzzi, and Enzo Marinari. “Phase Transitions in Integer Linear Problems.” <i> Journal of Statistical Mechanics: Theory and Experiment</i>. IOPscience, 2017. <a href=\"https://doi.org/10.1088/1742-5468/aa85c3\">https://doi.org/10.1088/1742-5468/aa85c3</a>.","apa":"Colabrese, S., De Martino, D., Leuzzi, L., &#38; Marinari, E. (2017). Phase transitions in integer linear problems. <i> Journal of Statistical Mechanics: Theory and Experiment</i>. IOPscience. <a href=\"https://doi.org/10.1088/1742-5468/aa85c3\">https://doi.org/10.1088/1742-5468/aa85c3</a>","ieee":"S. Colabrese, D. De Martino, L. Leuzzi, and E. Marinari, “Phase transitions in integer linear problems,” <i> Journal of Statistical Mechanics: Theory and Experiment</i>, vol. 2017, no. 9. IOPscience, 2017."},"year":"2017","date_published":"2017-09-26T00:00:00Z","abstract":[{"lang":"eng","text":"The resolution of a linear system with positive integer variables is a basic yet difficult computational problem with many applications. We consider sparse uncorrelated random systems parametrised by the density c and the ratio α=N/M between number of variables N and number of constraints M. By means of ensemble calculations we show that the space of feasible solutions endows a Van-Der-Waals phase diagram in the plane (c, α). We give numerical evidence that the associated computational problems become more difficult across the critical point and in particular in the coexistence region."}],"publication_identifier":{"issn":["17425468"]},"date_updated":"2023-09-26T16:18:12Z","doi":"10.1088/1742-5468/aa85c3","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","department":[{"_id":"GaTk"}],"oa_version":"Submitted Version","intvolume":"      2017","author":[{"last_name":"Colabrese","full_name":"Colabrese, Simona","first_name":"Simona"},{"orcid":"0000-0002-5214-4706","id":"3FF5848A-F248-11E8-B48F-1D18A9856A87","full_name":"De Martino, Daniele","first_name":"Daniele","last_name":"De Martino"},{"last_name":"Leuzzi","first_name":"Luca","full_name":"Leuzzi, Luca"},{"full_name":"Marinari, Enzo","first_name":"Enzo","last_name":"Marinari"}],"article_processing_charge":"No","oa":1,"issue":"9","type":"journal_article","scopus_import":"1","isi":1,"day":"26","volume":2017,"status":"public","external_id":{"isi":["000411842900001"]},"publication":" Journal of Statistical Mechanics: Theory and Experiment","_id":"823"}