{"title":"The Siberian Probabilist (on the occasion of the 90th birthday of Aleksandr Borovkov)","authors":"Semen Samsonovich Kutateladze","doi":"10.33048/semi.2021.18.011","DOIUrl":"https://doi.org/10.33048/semi.2021.18.011","url":null,"abstract":"","PeriodicalId":45858,"journal":{"name":"Siberian Electronic Mathematical Reports-Sibirskie Elektronnye Matematicheskie Izvestiya","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48871415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Enumeration of strictly Deza graphs with at most 21 vertices","authors":"S. Goryainov, Dmitry Panasenko, L. Shalaginov","doi":"10.33048/semi.2021.18.107","DOIUrl":"https://doi.org/10.33048/semi.2021.18.107","url":null,"abstract":"A Deza graph Γ with parameters ( v , k , b , a ) is a k -regular graph with v vertices such that any two distinct vertices have b or a common neighbours, where b > a . A Deza graph of diameter 2 which is not a strongly regular graph is called a strictly Deza graph. We find all 139 strictly Deza graphs up to 21 vertices and list corresponding constructions and properties.","PeriodicalId":45858,"journal":{"name":"Siberian Electronic Mathematical Reports-Sibirskie Elektronnye Matematicheskie Izvestiya","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42133028","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analogues of the Cauchy–Goursat problem for a loaded third-order hyperbolic type equation in an infinite three-dimensional domain","authors":"B. Islomov, Y. Alikulov","doi":"10.33048/semi.2021.18.007","DOIUrl":"https://doi.org/10.33048/semi.2021.18.007","url":null,"abstract":"","PeriodicalId":45858,"journal":{"name":"Siberian Electronic Mathematical Reports-Sibirskie Elektronnye Matematicheskie Izvestiya","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46522508","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Detection of the corner structures in 3D arrays using scalable masks","authors":"I. Kazantsev, B. Mukhametzhanova, K. Iskakov","doi":"10.33048/semi.2021.18.006","DOIUrl":"https://doi.org/10.33048/semi.2021.18.006","url":null,"abstract":"","PeriodicalId":45858,"journal":{"name":"Siberian Electronic Mathematical Reports-Sibirskie Elektronnye Matematicheskie Izvestiya","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46296958","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On a metric property of perfect colorings","authors":"Anna A. Taranenko","doi":"10.33048/semi.2021.18.046","DOIUrl":"https://doi.org/10.33048/semi.2021.18.046","url":null,"abstract":"Given a perfect coloring of a graph, we prove that the L1 distance between two rows of the adjacency matrix of the graph is not less than the L1 distance between the corresponding rows of the parameter matrix of the coloring. With the help of an algebraic approach, we deduce corollaries of this result for perfect 2-colorings, perfect colorings in distance-l graphs and in distance-regular graphs. We also provide examples when the obtained property reject several putative parameter matrices of perfect colorings in infinite graphs.","PeriodicalId":45858,"journal":{"name":"Siberian Electronic Mathematical Reports-Sibirskie Elektronnye Matematicheskie Izvestiya","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43155681","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Some remarks on rotation theorems for complex polynomials","authors":"V. Dubinin","doi":"10.33048/semi.2021.18.026","DOIUrl":"https://doi.org/10.33048/semi.2021.18.026","url":null,"abstract":"For any complex polynomial P (z) = c0+c1z+...+cnz , cn 6= 0, having all its zeros in the unit disk |z| ≤ 1, we consider the behavior of the function (argP (e))θ when the real argument θ changes. We give some sharp estimates of this function involving of the values of P (e), argP (e) or the coefficients ck, k = 0, 1, n − 1, n.","PeriodicalId":45858,"journal":{"name":"Siberian Electronic Mathematical Reports-Sibirskie Elektronnye Matematicheskie Izvestiya","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46271880","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Inverse problems of graph theory: Graphs without triangles","authors":"A. Makhnev, I. Belousov, D. V. Paduchikh","doi":"10.33048/semi.2021.18.003","DOIUrl":"https://doi.org/10.33048/semi.2021.18.003","url":null,"abstract":"","PeriodicalId":45858,"journal":{"name":"Siberian Electronic Mathematical Reports-Sibirskie Elektronnye Matematicheskie Izvestiya","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49431035","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A. I. Sakhanenko, V. Wachtel, E. Prokopenko, A. D. Shelepova
{"title":"On the asymptotics of the distribution of the exit time beyond a non-increasing boundary for a compound renewal process","authors":"A. I. Sakhanenko, V. Wachtel, E. Prokopenko, A. D. Shelepova","doi":"10.33048/semi.2021.18.002","DOIUrl":"https://doi.org/10.33048/semi.2021.18.002","url":null,"abstract":"","PeriodicalId":45858,"journal":{"name":"Siberian Electronic Mathematical Reports-Sibirskie Elektronnye Matematicheskie Izvestiya","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45715092","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}