{"date_published":"2018-05-23T00:00:00Z","external_id":{"arxiv":["1509.06286"]},"publication_status":"published","month":"05","doi":"10.1007/978-3-319-72456-0_7","citation":{"mla":"Bondarenko, Andriy, et al. “There Is No Strongly Regular Graph with Parameters (460; 153; 32; 60).” <i>Contemporary Computational Mathematics</i>, Springer, 2018, pp. 131–34, doi:<a href=\"https://doi.org/10.1007/978-3-319-72456-0_7\">10.1007/978-3-319-72456-0_7</a>.","ista":"Bondarenko A, Mellit A, Prymak A, Radchenko D, Viazovska M. 2018.There is no strongly regular graph with parameters (460; 153; 32; 60). In: Contemporary Computational Mathematics. , 131–134.","short":"A. Bondarenko, A. Mellit, A. Prymak, D. Radchenko, M. Viazovska, in:, Contemporary Computational Mathematics, Springer, 2018, pp. 131–134.","ieee":"A. Bondarenko, A. Mellit, A. Prymak, D. Radchenko, and M. Viazovska, “There is no strongly regular graph with parameters (460; 153; 32; 60),” in <i>Contemporary Computational Mathematics</i>, Springer, 2018, pp. 131–134.","ama":"Bondarenko A, Mellit A, Prymak A, Radchenko D, Viazovska M. There is no strongly regular graph with parameters (460; 153; 32; 60). In: <i>Contemporary Computational Mathematics</i>. Springer; 2018:131-134. doi:<a href=\"https://doi.org/10.1007/978-3-319-72456-0_7\">10.1007/978-3-319-72456-0_7</a>","chicago":"Bondarenko, Andriy, Anton Mellit, Andriy Prymak, Danylo Radchenko, and Maryna Viazovska. “There Is No Strongly Regular Graph with Parameters (460; 153; 32; 60).” In <i>Contemporary Computational Mathematics</i>, 131–34. Springer, 2018. <a href=\"https://doi.org/10.1007/978-3-319-72456-0_7\">https://doi.org/10.1007/978-3-319-72456-0_7</a>.","apa":"Bondarenko, A., Mellit, A., Prymak, A., Radchenko, D., &#38; Viazovska, M. (2018). There is no strongly regular graph with parameters (460; 153; 32; 60). In <i>Contemporary Computational Mathematics</i> (pp. 131–134). Springer. <a href=\"https://doi.org/10.1007/978-3-319-72456-0_7\">https://doi.org/10.1007/978-3-319-72456-0_7</a>"},"article_processing_charge":"No","publist_id":"7993","quality_controlled":"1","oa_version":"Preprint","year":"2018","oa":1,"title":"There is no strongly regular graph with parameters (460; 153; 32; 60)","language":[{"iso":"eng"}],"date_created":"2018-12-11T11:44:25Z","date_updated":"2021-01-12T08:06:06Z","publisher":"Springer","author":[{"first_name":"Andriy","full_name":"Bondarenko, Andriy","last_name":"Bondarenko"},{"id":"388D3134-F248-11E8-B48F-1D18A9856A87","first_name":"Anton","full_name":"Mellit, Anton","last_name":"Mellit"},{"full_name":"Prymak, Andriy","last_name":"Prymak","first_name":"Andriy"},{"last_name":"Radchenko","full_name":"Radchenko, Danylo","first_name":"Danylo"},{"last_name":"Viazovska","full_name":"Viazovska, Maryna","first_name":"Maryna"}],"publication":"Contemporary Computational Mathematics","department":[{"_id":"TaHa"}],"type":"book_chapter","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","extern":"1","page":"131 - 134","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1509.06286"}],"day":"23","_id":"61","abstract":[{"lang":"eng","text":"We prove that there is no strongly regular graph (SRG) with parameters (460; 153; 32; 60). The proof is based on a recent lower bound on the number of 4-cliques in a SRG and some applications of Euclidean representation of SRGs. "}],"status":"public"}