{"publisher":"Springer","publist_id":"7993","abstract":[{"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. ","lang":"eng"}],"extern":"1","article_processing_charge":"No","language":[{"iso":"eng"}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","doi":"10.1007/978-3-319-72456-0_7","oa_version":"Preprint","oa":1,"citation":{"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>","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.","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>.","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.","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>"},"publication_status":"published","type":"book_chapter","day":"23","year":"2018","status":"public","author":[{"first_name":"Andriy","last_name":"Bondarenko","full_name":"Bondarenko, Andriy"},{"last_name":"Mellit","full_name":"Mellit, Anton","id":"388D3134-F248-11E8-B48F-1D18A9856A87","first_name":"Anton"},{"full_name":"Prymak, Andriy","last_name":"Prymak","first_name":"Andriy"},{"first_name":"Danylo","last_name":"Radchenko","full_name":"Radchenko, Danylo"},{"first_name":"Maryna","last_name":"Viazovska","full_name":"Viazovska, Maryna"}],"date_published":"2018-05-23T00:00:00Z","main_file_link":[{"url":"https://arxiv.org/abs/1509.06286","open_access":"1"}],"_id":"61","title":"There is no strongly regular graph with parameters (460; 153; 32; 60)","quality_controlled":"1","external_id":{"arxiv":["1509.06286"]},"department":[{"_id":"TaHa"}],"date_created":"2018-12-11T11:44:25Z","publication":"Contemporary Computational Mathematics","page":"131 - 134","month":"05","date_updated":"2021-01-12T08:06:06Z"}