There is no strongly regular graph with parameters (460; 153; 32; 60)
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.
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Author
Bondarenko, Andriy;
Mellit, AntonISTA;
Prymak, Andriy;
Radchenko, Danylo;
Viazovska, Maryna
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Abstract
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.
Publishing Year
Date Published
2018-05-23
Book Title
Contemporary Computational Mathematics
Publisher
Springer
Page
131 - 134
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Cite this
Bondarenko A, Mellit A, Prymak A, Radchenko D, Viazovska M. There is no strongly regular graph with parameters (460; 153; 32; 60). In: Contemporary Computational Mathematics. Springer; 2018:131-134. doi:10.1007/978-3-319-72456-0_7
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 (pp. 131–134). Springer. https://doi.org/10.1007/978-3-319-72456-0_7
Bondarenko, Andriy, Anton Mellit, Andriy Prymak, Danylo Radchenko, and Maryna Viazovska. “There Is No Strongly Regular Graph with Parameters (460; 153; 32; 60).” In Contemporary Computational Mathematics, 131–34. Springer, 2018. https://doi.org/10.1007/978-3-319-72456-0_7.
A. Bondarenko, A. Mellit, A. Prymak, D. Radchenko, and M. Viazovska, “There is no strongly regular graph with parameters (460; 153; 32; 60),” in Contemporary Computational Mathematics, Springer, 2018, pp. 131–134.
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.
Bondarenko, Andriy, et al. “There Is No Strongly Regular Graph with Parameters (460; 153; 32; 60).” Contemporary Computational Mathematics, Springer, 2018, pp. 131–34, doi:10.1007/978-3-319-72456-0_7.
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