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Bulletin of The Iranian Mathematical Society最新文献

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Hybrid Propagation and Control of Network Viruses on Scale-Free Networks 无标度网络中网络病毒的混合传播与控制
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2023-11-20 DOI: 10.1007/s41980-023-00834-z
Qingyi Zhu, Pingfan Xiang, Kefei Cheng, Chenquan Gan, Lu-Xing Yang
{"title":"Hybrid Propagation and Control of Network Viruses on Scale-Free Networks","authors":"Qingyi Zhu, Pingfan Xiang, Kefei Cheng, Chenquan Gan, Lu-Xing Yang","doi":"10.1007/s41980-023-00834-z","DOIUrl":"https://doi.org/10.1007/s41980-023-00834-z","url":null,"abstract":"<p>How to accurately model and effectively suppress the spread of network viruses has been a major concern in the field of complex networks and cybersecurity. Most existing work often considers the transmission between the infected and uninfected nodes (i.e., horizontal transmission) and assumes that all new nodes connected to the Internet are susceptible, but the nodes might have been implanted with a backdoor or virus by attackers or infected nodes before connecting to the Internet. This vertical transmission also provides an important route for virus propagation. In this paper, we investigate the propagation of network viruses under the combined influence of network topology and hybrid transmission (i.e., horizontal and vertical transmissions). Through rigorous qualitative analysis, we identify the propagation threshold <span>(R_0)</span> which determines whether viruses in the network tend to become extinct or persist, and explore the impacts of vertical transmission on the viral spread. Furthermore, we consider the problem of how to dynamically contain the hybrid spread of network viruses with limited resources. By utilizing optimal control theory, we prove the existence of an optimal control strategy. Finally, a group of representative simulation experiments verify the validity of the theoretical findings. Specifically, the simulation results show that the optimal control strategy proposed in this paper reduces the value of the target generic function <i>J</i> by 67.69% compared with no control.\u0000</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138504504","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Ramsey Numbers of a Wheel of Order Five Versus Fans Ramsey Numbers of Order Five vs Fans
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2023-11-18 DOI: 10.1007/s41980-023-00833-0
Yiyuan Hao, Chunlin You
{"title":"Ramsey Numbers of a Wheel of Order Five Versus Fans","authors":"Yiyuan Hao, Chunlin You","doi":"10.1007/s41980-023-00833-0","DOIUrl":"https://doi.org/10.1007/s41980-023-00833-0","url":null,"abstract":"<p>For graphs <i>G</i> and <i>H</i>, the Ramsey number <i>r</i>(<i>G</i>, <i>H</i>) is the smallest number <i>N</i>, such that any red/blue edge-coloring of <span>(K_N)</span> contains either a red copy of <i>G</i> or a blue copy of <i>H</i>. Let <span>(F_n=K_1+nK_2)</span> be a fan and <span>(W_4=K_1+C_4)</span> be a wheel of order five. In this paper, we show that the Ramsey number <span>(r(W_4,F_n)=4n+1)</span> for all sufficiently large <i>n</i>. Moreover, this implies that a large fan <span>(F_n)</span> is <span>(W_4)</span>-good.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138504502","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Collectively Coincidence Results and Selecting Families 集体巧合结果和家庭选择
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2023-11-16 DOI: 10.1007/s41980-023-00828-x
Donal O’Regan
{"title":"Collectively Coincidence Results and Selecting Families","authors":"Donal O’Regan","doi":"10.1007/s41980-023-00828-x","DOIUrl":"https://doi.org/10.1007/s41980-023-00828-x","url":null,"abstract":"<p>In this paper we will make use of Brouwer’s fixed point theorem to obtain collectively coincidence point results for multivalued maps belonging to similar classes.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138504503","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Extensions of Functions with a Closed Graph and Quasi-continuous Functions with a Closed Graph from Dense Subspaces 稠密子空间中闭图函数和闭图拟连续函数的扩展
4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2023-11-14 DOI: 10.1007/s41980-023-00824-1
Jolanta Kosman
{"title":"Extensions of Functions with a Closed Graph and Quasi-continuous Functions with a Closed Graph from Dense Subspaces","authors":"Jolanta Kosman","doi":"10.1007/s41980-023-00824-1","DOIUrl":"https://doi.org/10.1007/s41980-023-00824-1","url":null,"abstract":"Abstract In this paper, we prove some conditions for existence of an extension of a real (quasi-continuous) function with a closed graph defined on a given dense subset D of a topological space X to a (quasi-continuous) function with a closed graph on whole X .","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134901023","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
When do the Gorenstein Injective Modules and Strongly Cotorsion Modules Coincide? 什么时候Gorenstein内射模和强扭转模重合?
4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2023-11-10 DOI: 10.1007/s41980-023-00825-0
Junfu Wang, Huanhuan Li
{"title":"When do the Gorenstein Injective Modules and Strongly Cotorsion Modules Coincide?","authors":"Junfu Wang, Huanhuan Li","doi":"10.1007/s41980-023-00825-0","DOIUrl":"https://doi.org/10.1007/s41980-023-00825-0","url":null,"abstract":"","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135137524","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Combinatorial Description of the Dormant Miura Transformation 休眠三浦变换的组合描述
4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2023-11-08 DOI: 10.1007/s41980-023-00822-3
Yasuhiro Wakabayashi
{"title":"A Combinatorial Description of the Dormant Miura Transformation","authors":"Yasuhiro Wakabayashi","doi":"10.1007/s41980-023-00822-3","DOIUrl":"https://doi.org/10.1007/s41980-023-00822-3","url":null,"abstract":"","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135292957","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Existence and Multiplicity of Normalized Solutions to Biharmonic Schrödinger Equations with Subcritical Growth 次临界增长双调和Schrödinger方程归一化解的存在性和多重性
4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2023-10-31 DOI: 10.1007/s41980-023-00823-2
Ziheng Zhang, Jianlun Liu, Qingle Guan
{"title":"Existence and Multiplicity of Normalized Solutions to Biharmonic Schrödinger Equations with Subcritical Growth","authors":"Ziheng Zhang, Jianlun Liu, Qingle Guan","doi":"10.1007/s41980-023-00823-2","DOIUrl":"https://doi.org/10.1007/s41980-023-00823-2","url":null,"abstract":"","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135813623","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The CEPGD-Inverse for Square Matrices 方阵的cepgd -逆
4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2023-10-26 DOI: 10.1007/s41980-023-00826-z
Saroja Kumar Panda, Jajati Keshari Sahoo, Ratikanta Behera, Predrag S. Stanimirović, Dijana Mosić, Alena A. Stupina
{"title":"The CEPGD-Inverse for Square Matrices","authors":"Saroja Kumar Panda, Jajati Keshari Sahoo, Ratikanta Behera, Predrag S. Stanimirović, Dijana Mosić, Alena A. Stupina","doi":"10.1007/s41980-023-00826-z","DOIUrl":"https://doi.org/10.1007/s41980-023-00826-z","url":null,"abstract":"","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134909353","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multiplicative Functions with Sum Zero Over Beurling Generalized Prime Number Systems 广义素数系统上和为零的乘法函数
4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2023-10-16 DOI: 10.1007/s41980-023-00805-4
Ammar Ali Neamah
{"title":"Multiplicative Functions with Sum Zero Over Beurling Generalized Prime Number Systems","authors":"Ammar Ali Neamah","doi":"10.1007/s41980-023-00805-4","DOIUrl":"https://doi.org/10.1007/s41980-023-00805-4","url":null,"abstract":"","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136113720","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Approximation properties of $$mu $$-Bernstein–Schurer–Stancu operators $$mu $$ -Bernstein-Schurer-Stancu算子的近似性质
4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2023-10-13 DOI: 10.1007/s41980-023-00811-6
Naim L. Braha, Toufik Mansour
{"title":"Approximation properties of $$mu $$-Bernstein–Schurer–Stancu operators","authors":"Naim L. Braha, Toufik Mansour","doi":"10.1007/s41980-023-00811-6","DOIUrl":"https://doi.org/10.1007/s41980-023-00811-6","url":null,"abstract":"","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135858169","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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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