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Forcing total outer connected monophonic number of a graph 强迫图的全外连通单音数
IF 0.2
Izvestiya of Saratov University Mathematics Mechanics Informatics Pub Date : 2022-08-24 DOI: 10.18500/1816-9791-2022-22-3-278-286
K. Ganesamoorthy, S. Lakshmi Priya
{"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}
引用次数: 2
Elementary definability of the class of universal hypergraphic automata in the class of semigroups 半群类中泛超图自动机类的初等可定义性
IF 0.2
Izvestiya of Saratov University Mathematics Mechanics Informatics Pub Date : 2022-08-24 DOI: 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}
引用次数: 1
Evaluation of the influence of white spot lesion on the mechanical properties of human tooth enamel and dentine 白斑病变对人牙釉质和牙本质力学性能影响的评价
IF 0.2
Izvestiya of Saratov University Mathematics Mechanics Informatics Pub Date : 2022-08-24 DOI: 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}
引用次数: 0
Bending of an elastic circular three-layer plate in a neutron flux by a local load 弹性三层圆板在中子通量中受局部载荷的弯曲
IF 0.2
Izvestiya of Saratov University Mathematics Mechanics Informatics Pub Date : 2022-08-24 DOI: 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}
引用次数: 0
Cognitive analysis of the structural stability for the knowledge-intensive sectors of the regional economy 区域经济知识密集型产业结构稳定性的认知分析
IF 0.2
Izvestiya of Saratov University Mathematics Mechanics Informatics Pub Date : 2022-08-24 DOI: 10.18500/1816-9791-2022-22-3-401-412
A. Firsova, E. Makarova
{"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}
引用次数: 0
Specification of prognostic models and software implementation of a calculator for predicting a fatal outcome in a combined pelvic injury 预测合并骨盆损伤致命结果的预测模型和软件实现的规范
IF 0.2
Izvestiya of Saratov University Mathematics Mechanics Informatics Pub Date : 2022-08-24 DOI: 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}
引用次数: 0
On a solution of a nondegenerate boundary value problem of Carleman type for quasiharmonic functions in circular domains 圆域上拟调和函数的一类非退化Carleman型边值问题的解
IF 0.2
Izvestiya of Saratov University Mathematics Mechanics Informatics Pub Date : 2022-08-24 DOI: 10.18500/1816-9791-2022-22-3-307-314
K. .. Rasulov, T. I. Mikhalyova
{"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}
引用次数: 0
On the continuity of some classes and subclasses of maps with an s-averaged characteristic 具有s平均特征的映射若干类和子类的连续性
IF 0.2
Izvestiya of Saratov University Mathematics Mechanics Informatics Pub Date : 2022-08-24 DOI: 10.18500/1816-9791-2022-22-3-287-292
A. Malyutina
{"title":"On the continuity of some classes and subclasses of maps with an s-averaged characteristic","authors":"A. Malyutina","doi":"10.18500/1816-9791-2022-22-3-287-292","DOIUrl":"https://doi.org/10.18500/1816-9791-2022-22-3-287-292","url":null,"abstract":". According to the well-known theorem of S. L. Sobolev, if 𝐺 is a bounded domain of Euclidean space and a function is a function having the first generalized derivatives summable with degree 𝑝 , then it is continuous in 𝐺 . If 1 < 𝑝 (cid:54) 𝑛 this property, generally speaking, may not be. In this paper, we find the necessary conditions under which some classes and subclasses of maps with an 𝑠 -averaged characteristic will be continuous. Examples of subclasses of such mappings with the above properties are given in our papers.","PeriodicalId":42789,"journal":{"name":"Izvestiya of Saratov University Mathematics Mechanics Informatics","volume":"380 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78006771","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}
引用次数: 0
Divergent series and generalized mixed problem for a wave equation of the simplest type 一类最简型波动方程的发散级数与广义混合问题
IF 0.2
Izvestiya of Saratov University Mathematics Mechanics Informatics Pub Date : 2022-08-24 DOI: 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}
引用次数: 1
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 外周血管血流速度调节对血管外壁温度的影响:伴随问题的有限元建模
IF 0.2
Izvestiya of Saratov University Mathematics Mechanics Informatics Pub Date : 2022-08-24 DOI: 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}
引用次数: 0
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