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Approximate solutions of a SIR epidemiological model of computer viruses 计算机病毒的SIR流行病学模型的近似解
Advanced Studies: Euro-Tbilisi Mathematical Journal Pub Date : 2021-12-01 DOI: 10.32513/asetmj/1932200822
M. Izadi, M. Seifaddini, M. Afshar
{"title":"Approximate solutions of a SIR epidemiological model of computer viruses","authors":"M. Izadi, M. Seifaddini, M. Afshar","doi":"10.32513/asetmj/1932200822","DOIUrl":"https://doi.org/10.32513/asetmj/1932200822","url":null,"abstract":"","PeriodicalId":309109,"journal":{"name":"Advanced Studies: Euro-Tbilisi Mathematical Journal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129824051","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: 6
Some notes on the differential geometry of linear coframe bundle of a Riemannian manifold 黎曼流形线性共框束微分几何的几个注意事项
Advanced Studies: Euro-Tbilisi Mathematical Journal Pub Date : 2021-12-01 DOI: 10.32513/asetmj/1932200815
Habil Fattayev
{"title":"Some notes on the differential geometry of linear coframe bundle of a Riemannian manifold","authors":"Habil Fattayev","doi":"10.32513/asetmj/1932200815","DOIUrl":"https://doi.org/10.32513/asetmj/1932200815","url":null,"abstract":"","PeriodicalId":309109,"journal":{"name":"Advanced Studies: Euro-Tbilisi Mathematical Journal","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123681241","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
Chen-like inequalities on lightlike hypersurfaces of semi-Riemannian manifolds 半黎曼流形的类光超曲面上的类陈不等式
Advanced Studies: Euro-Tbilisi Mathematical Journal Pub Date : 2021-12-01 DOI: 10.32513/asetmj/1932200816
Garima Gupta, Rakesh Kumar, R. K. Nagaich
{"title":"Chen-like inequalities on lightlike hypersurfaces of semi-Riemannian manifolds","authors":"Garima Gupta, Rakesh Kumar, R. K. Nagaich","doi":"10.32513/asetmj/1932200816","DOIUrl":"https://doi.org/10.32513/asetmj/1932200816","url":null,"abstract":"","PeriodicalId":309109,"journal":{"name":"Advanced Studies: Euro-Tbilisi Mathematical Journal","volume":"727 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134137977","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 solutions of a system of max-type difference equations 一类极大型差分方程组的解
Advanced Studies: Euro-Tbilisi Mathematical Journal Pub Date : 2021-12-01 DOI: 10.32513/asetmj/1932200820
Y. Akrour, M. Mesmouli, D. T. Tollu, N. Touafek
{"title":"On the solutions of a system of max-type difference equations","authors":"Y. Akrour, M. Mesmouli, D. T. Tollu, N. Touafek","doi":"10.32513/asetmj/1932200820","DOIUrl":"https://doi.org/10.32513/asetmj/1932200820","url":null,"abstract":"","PeriodicalId":309109,"journal":{"name":"Advanced Studies: Euro-Tbilisi Mathematical Journal","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124743126","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
An explicit radical parametrization of Zolotarev polynomials of degree 7 in terms of nested square roots 基于嵌套平方根的7次Zolotarev多项式的显式根参数化
Advanced Studies: Euro-Tbilisi Mathematical Journal Pub Date : 2021-12-01 DOI: 10.32513/asetmj/1932200813
H. Rack, Róbert Vajda
{"title":"An explicit radical parametrization of Zolotarev polynomials of degree 7 in terms of nested square roots","authors":"H. Rack, Róbert Vajda","doi":"10.32513/asetmj/1932200813","DOIUrl":"https://doi.org/10.32513/asetmj/1932200813","url":null,"abstract":"","PeriodicalId":309109,"journal":{"name":"Advanced Studies: Euro-Tbilisi Mathematical Journal","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122090455","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
On the number of fair dominating sets of graphs 关于图的公平支配集的数目
Advanced Studies: Euro-Tbilisi Mathematical Journal Pub Date : 2021-07-21 DOI: 10.32513/asetmj/1932200823107
S. Alikhani, Maryam Safazadeh
{"title":"On the number of fair dominating sets of graphs","authors":"S. Alikhani, Maryam Safazadeh","doi":"10.32513/asetmj/1932200823107","DOIUrl":"https://doi.org/10.32513/asetmj/1932200823107","url":null,"abstract":"Let $G=(V,E)$ be a simple graph. A dominating set of $G$ is a subset $Dsubseteq V$ such that every vertex not in $D$ is adjacent to at least one vertex in $D$.The cardinality of a smallest dominating set of $G$, denoted by $gamma(G)$, is the domination number of $G$.For $k geq 1$, a $k$-fair dominating set($kFD$-set) in $G$, is a dominating set $S$ such that $|N(v) cap D|=k$ for every vertex $ v in Vsetminus D$.A fair dominating set, in $G$ is a $kFD$-set for some integer $kgeq 1$.In this paper, after presenting preliminaries, we count the number of fair dominating sets of some specific graphs.","PeriodicalId":309109,"journal":{"name":"Advanced Studies: Euro-Tbilisi Mathematical Journal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130738364","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
Third homology of perfect central extensions 完全中心扩展的第三个同源性
Advanced Studies: Euro-Tbilisi Mathematical Journal Pub Date : 2020-07-22 DOI: 10.3251/asetmj/1932200814
B. Mirzaii, F. Mokari, D. C. Ordinola
{"title":"Third homology of perfect central extensions","authors":"B. Mirzaii, F. Mokari, D. C. Ordinola","doi":"10.3251/asetmj/1932200814","DOIUrl":"https://doi.org/10.3251/asetmj/1932200814","url":null,"abstract":"For a central perfect extension of groups $A rightarrowtail G twoheadrightarrow Q$, we study the maps $H_3(A,mathbb{Z}) to H_3(G, mathbb{Z})$ and $H_3(G, mathbb{Z}) to H_3(Q, mathbb{Z})$ provided that $Asubseteq G'$. First we show that the image of $H_3(A, mathbb{Z})to H_3(G, mathbb{Z})/rho_ast(Aotimes_mathbb{Z} H_2(G, mathbb{Z}))$ is $2$-torsion where $rho: A times G to G$ is the usual product map. When $BQ^+$ is an $H$-space, we also study the kernel of the surjective homomorphism $H_3(G, mathbb{Z}) to H_3(Q, mathbb{Z})$.","PeriodicalId":309109,"journal":{"name":"Advanced Studies: Euro-Tbilisi Mathematical Journal","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128564347","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
Counting independent dominating sets in linear polymers 线性聚合物中独立支配集的计数
Advanced Studies: Euro-Tbilisi Mathematical Journal Pub Date : 2019-09-29 DOI: 10.32513/asetmj/1932200823106
Somayeh Jahari, S. Alikhani
{"title":"Counting independent dominating sets in linear polymers","authors":"Somayeh Jahari, S. Alikhani","doi":"10.32513/asetmj/1932200823106","DOIUrl":"https://doi.org/10.32513/asetmj/1932200823106","url":null,"abstract":"A vertex subset $Wsubseteq V$ of the graph $G = (V,E)$ is an independent dominating set if every vertex in $Vsetminus W$ is adjacent to at least one vertex in $W$ and the vertices of $W$ are pairwise non-adjacent. We enumerate independent dominating sets in several classes of graphs made by a linear or cyclic concatenation of basic building blocks. Explicit recurrences are derived for the number of independent dominating sets of these kind of graphs. Generating functions for the number of independent dominating sets of triangular and squares cacti chain are also computed.","PeriodicalId":309109,"journal":{"name":"Advanced Studies: Euro-Tbilisi Mathematical Journal","volume":"80 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123474647","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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