Pub Date : 2022-08-24DOI: 10.18500/1816-9791-2022-22-3-278-286
K. Ganesamoorthy, S. Lakshmi Priya
. For a connected graph 𝐺 = ( 𝑉, 𝐸 ) of order at least two, a subset 𝑇 of a minimum total outer connected monophonic set 𝑆 of 𝐺 is a forcing total outer connected monophonic subset for 𝑆 if 𝑆 is the unique minimum total outer connected monophonic set containing 𝑇 . A forcing total outer connected monophonic subset for 𝑆 of minimum cardinality is a minimum forcing total outer connected monophonic subset of 𝑆 . The forcing total outer connected monophonic number 𝑓 𝑡𝑜𝑚 ( 𝑆 ) in 𝐺 is the cardinality of a minimum forcing total outer connected monophonic subset of 𝑆 . The forcing total outer connected monophonic number of 𝐺 is 𝑓 𝑡𝑜𝑚 ( 𝐺 ) = min { 𝑓 𝑡𝑜𝑚 ( 𝑆 ) } , where the minimum is taken over all minimum total outer connected monophonic sets 𝑆 in 𝐺 . We determine bounds for it and find the forcing total outer connected monophonic number of a certain class of graphs. It is shown that for every pair 𝑎, 𝑏 of positive integers with 0 (cid:54) 𝑎 < 𝑏 and 𝑏 (cid:62) 𝑎 + 4 , there exists a connected graph 𝐺 such that 𝑓 𝑡𝑜𝑚 ( 𝐺 ) = 𝑎 and 𝑐𝑚 𝑡𝑜 ( 𝐺 ) = 𝑏 , where 𝑐𝑚 𝑡𝑜 ( 𝐺 ) is the total outer connected monophonic number of a graph.
{"title":"Forcing total outer connected monophonic number of a graph","authors":"K. Ganesamoorthy, S. Lakshmi Priya","doi":"10.18500/1816-9791-2022-22-3-278-286","DOIUrl":"https://doi.org/10.18500/1816-9791-2022-22-3-278-286","url":null,"abstract":". For a connected graph 𝐺 = ( 𝑉, 𝐸 ) of order at least two, a subset 𝑇 of a minimum total outer connected monophonic set 𝑆 of 𝐺 is a forcing total outer connected monophonic subset for 𝑆 if 𝑆 is the unique minimum total outer connected monophonic set containing 𝑇 . A forcing total outer connected monophonic subset for 𝑆 of minimum cardinality is a minimum forcing total outer connected monophonic subset of 𝑆 . The forcing total outer connected monophonic number 𝑓 𝑡𝑜𝑚 ( 𝑆 ) in 𝐺 is the cardinality of a minimum forcing total outer connected monophonic subset of 𝑆 . The forcing total outer connected monophonic number of 𝐺 is 𝑓 𝑡𝑜𝑚 ( 𝐺 ) = min { 𝑓 𝑡𝑜𝑚 ( 𝑆 ) } , where the minimum is taken over all minimum total outer connected monophonic sets 𝑆 in 𝐺 . We determine bounds for it and find the forcing total outer connected monophonic number of a certain class of graphs. It is shown that for every pair 𝑎, 𝑏 of positive integers with 0 (cid:54) 𝑎 < 𝑏 and 𝑏 (cid:62) 𝑎 + 4 , there exists a connected graph 𝐺 such that 𝑓 𝑡𝑜𝑚 ( 𝐺 ) = 𝑎 and 𝑐𝑚 𝑡𝑜 ( 𝐺 ) = 𝑏 , where 𝑐𝑚 𝑡𝑜 ( 𝐺 ) is the total outer connected monophonic number of a graph.","PeriodicalId":42789,"journal":{"name":"Izvestiya of Saratov University Mathematics Mechanics Informatics","volume":"58 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81916114","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}
Pub Date : 2022-08-24DOI: 10.18500/1816-9791-2022-22-3-293-306
V. Molchanov, E. Khvorostukhina
{"title":"Elementary definability of the class of universal hypergraphic automata in the class of semigroups","authors":"V. Molchanov, E. Khvorostukhina","doi":"10.18500/1816-9791-2022-22-3-293-306","DOIUrl":"https://doi.org/10.18500/1816-9791-2022-22-3-293-306","url":null,"abstract":"","PeriodicalId":42789,"journal":{"name":"Izvestiya of Saratov University Mathematics Mechanics Informatics","volume":"27 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87713794","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}
Pub Date : 2022-08-24DOI: 10.18500/1816-9791-2022-22-3-346-359
E. Sadyrin, D. Yogina, A. Vasiliev, S. Aizikovich
{"title":"Evaluation of the influence of white spot lesion on the mechanical properties of human tooth enamel and dentine","authors":"E. Sadyrin, D. Yogina, A. Vasiliev, S. Aizikovich","doi":"10.18500/1816-9791-2022-22-3-346-359","DOIUrl":"https://doi.org/10.18500/1816-9791-2022-22-3-346-359","url":null,"abstract":"","PeriodicalId":42789,"journal":{"name":"Izvestiya of Saratov University Mathematics Mechanics Informatics","volume":"18 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87595790","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}
Pub Date : 2022-08-24DOI: 10.18500/1816-9791-2022-22-3-360-375
E. I. Starovoitov, D. Leonenko
{"title":"Bending of an elastic circular three-layer plate in a neutron flux by a local load","authors":"E. I. Starovoitov, D. Leonenko","doi":"10.18500/1816-9791-2022-22-3-360-375","DOIUrl":"https://doi.org/10.18500/1816-9791-2022-22-3-360-375","url":null,"abstract":"","PeriodicalId":42789,"journal":{"name":"Izvestiya of Saratov University Mathematics Mechanics Informatics","volume":"34 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88931329","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}
Pub Date : 2022-08-24DOI: 10.18500/1816-9791-2022-22-3-401-412
A. Firsova, E. Makarova
. The paper demonstrates the application of cognitive modeling methods to study the functioning problems of semi-structured complex economic systems. The aim of the research is to study the structural stability of the relationship between knowledge-intensive sectors and regional economy using cognitive analysis. The concepts and factors influencing the studied systems are determined, cognitive maps of the relationship between knowledge-intensive sectors and regional economy are created, a qualitative analysis of the properties and cycles has been carried out. Impulse and scenario modeling made it possible to draw a conclusion about structural stability of the developed cognitive model. Various scenarios of the system’s behavior under the influence of impulse modeling are visualized. The research results can be used to support decision-making process due to developing strategies and policies for the balanced development of knowledge-intensive markets and socio-economic systems.
{"title":"Cognitive analysis of the structural stability for the knowledge-intensive sectors of the regional economy","authors":"A. Firsova, E. Makarova","doi":"10.18500/1816-9791-2022-22-3-401-412","DOIUrl":"https://doi.org/10.18500/1816-9791-2022-22-3-401-412","url":null,"abstract":". The paper demonstrates the application of cognitive modeling methods to study the functioning problems of semi-structured complex economic systems. The aim of the research is to study the structural stability of the relationship between knowledge-intensive sectors and regional economy using cognitive analysis. The concepts and factors influencing the studied systems are determined, cognitive maps of the relationship between knowledge-intensive sectors and regional economy are created, a qualitative analysis of the properties and cycles has been carried out. Impulse and scenario modeling made it possible to draw a conclusion about structural stability of the developed cognitive model. Various scenarios of the system’s behavior under the influence of impulse modeling are visualized. The research results can be used to support decision-making process due to developing strategies and policies for the balanced development of knowledge-intensive markets and socio-economic systems.","PeriodicalId":42789,"journal":{"name":"Izvestiya of Saratov University Mathematics Mechanics Informatics","volume":"45 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88536888","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}
Pub Date : 2022-08-24DOI: 10.18500/1816-9791-2022-22-3-376-392
P. Dmitriev, A. Kharlamov, I. V. Kazhanov, I. Kirillova, L. Kossovich, A. Falkovich, S. I. Mikityuk, A. Petrov
{"title":"Specification of prognostic models and software implementation of a calculator for predicting a fatal outcome in a combined pelvic injury","authors":"P. Dmitriev, A. Kharlamov, I. V. Kazhanov, I. Kirillova, L. Kossovich, A. Falkovich, S. I. Mikityuk, A. Petrov","doi":"10.18500/1816-9791-2022-22-3-376-392","DOIUrl":"https://doi.org/10.18500/1816-9791-2022-22-3-376-392","url":null,"abstract":"","PeriodicalId":42789,"journal":{"name":"Izvestiya of Saratov University Mathematics Mechanics Informatics","volume":"6 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90548473","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}
Pub Date : 2022-08-24DOI: 10.18500/1816-9791-2022-22-3-393-400
D. Petrov
{"title":"Assessment of the protection level of continuous production based on the Markov life cycle model","authors":"D. Petrov","doi":"10.18500/1816-9791-2022-22-3-393-400","DOIUrl":"https://doi.org/10.18500/1816-9791-2022-22-3-393-400","url":null,"abstract":"","PeriodicalId":42789,"journal":{"name":"Izvestiya of Saratov University Mathematics Mechanics Informatics","volume":"41 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89220031","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}
Pub Date : 2022-08-24DOI: 10.18500/1816-9791-2022-22-3-332-345
D. Mayskov, A. Sagaidachnyi, M. D. Matasov, A. Fomin, A. Skripal
{"title":"Influence of the modulation of the blood flow velocity in peripheral vessels on the temperature of the outer wall of the vessel: Finite element modeling of the adjoint problem","authors":"D. Mayskov, A. Sagaidachnyi, M. D. Matasov, A. Fomin, A. Skripal","doi":"10.18500/1816-9791-2022-22-3-332-345","DOIUrl":"https://doi.org/10.18500/1816-9791-2022-22-3-332-345","url":null,"abstract":"","PeriodicalId":42789,"journal":{"name":"Izvestiya of Saratov University Mathematics Mechanics Informatics","volume":"53 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85717638","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}
Pub Date : 2022-08-24DOI: 10.18500/1816-9791-2022-22-3-307-314
K. .. Rasulov, T. I. Mikhalyova
. This paper considers a Carleman type boundary value problem for quasiharmonic functions. The boundary value problem is an informal model of a Carleman type differential problem for analytic functions of a complex variable.This paper presented a complex-analytical method for solving the problem under consideration in circular domains, which makes it possible to establish the instability of its solutions concerning small contour changes.
{"title":"On a solution of a nondegenerate boundary value problem of Carleman type for quasiharmonic functions in circular domains","authors":"K. .. Rasulov, T. I. Mikhalyova","doi":"10.18500/1816-9791-2022-22-3-307-314","DOIUrl":"https://doi.org/10.18500/1816-9791-2022-22-3-307-314","url":null,"abstract":". This paper considers a Carleman type boundary value problem for quasiharmonic functions. The boundary value problem is an informal model of a Carleman type differential problem for analytic functions of a complex variable.This paper presented a complex-analytical method for solving the problem under consideration in circular domains, which makes it possible to establish the instability of its solutions concerning small contour changes.","PeriodicalId":42789,"journal":{"name":"Izvestiya of Saratov University Mathematics Mechanics Informatics","volume":"37 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73803834","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}
Pub Date : 2022-08-24DOI: 10.18500/1816-9791-2022-22-3-322-331
A. P. Khromov
{"title":"Divergent series and generalized mixed problem for a wave equation of the simplest type","authors":"A. P. Khromov","doi":"10.18500/1816-9791-2022-22-3-322-331","DOIUrl":"https://doi.org/10.18500/1816-9791-2022-22-3-322-331","url":null,"abstract":"","PeriodicalId":42789,"journal":{"name":"Izvestiya of Saratov University Mathematics Mechanics Informatics","volume":"61 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77670398","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}
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