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Simulatable verifiable random function from the LWE assumption 基于LWE假设的可模拟可验证随机函数
Theor. Comput. Sci. Pub Date : 2023-03-01 DOI: 10.2139/ssrn.4197049
Yiming Li, Shengli Liu, Shuai Han, Dawu Gu, J. Weng
{"title":"Simulatable verifiable random function from the LWE assumption","authors":"Yiming Li, Shengli Liu, Shuai Han, Dawu Gu, J. Weng","doi":"10.2139/ssrn.4197049","DOIUrl":"https://doi.org/10.2139/ssrn.4197049","url":null,"abstract":"","PeriodicalId":23063,"journal":{"name":"Theor. Comput. Sci.","volume":"42 1","pages":"113826"},"PeriodicalIF":0.0,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85209429","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
A P Systems Variant for Reasoning about Sequential Controllability of Boolean Networks 布尔网络序贯可控性推理的P系统变体
Theor. Comput. Sci. Pub Date : 2023-02-28 DOI: 10.48550/arXiv.2303.00110
A. Alhazov, Vincent Ferrari-Dominguez, R. Freund, N. Glade, Sergiu Ivanov
{"title":"A P Systems Variant for Reasoning about Sequential Controllability of Boolean Networks","authors":"A. Alhazov, Vincent Ferrari-Dominguez, R. Freund, N. Glade, Sergiu Ivanov","doi":"10.48550/arXiv.2303.00110","DOIUrl":"https://doi.org/10.48550/arXiv.2303.00110","url":null,"abstract":"A Boolean network is a discrete dynamical system operating on vectors of Boolean variables. The action of a Boolean network can be conveniently expressed as a system of Boolean update functions, computing the new values for each component of the Boolean vector as a function of the other components. Boolean networks are widely used in modelling biological systems that can be seen as consisting of entities which can be activated or deactivated, expressed or inhibited, on or off. P systems on the other hand are classically introduced as a model of hierarchical multiset rewriting. However, over the years the community has proposed a wide range of P system variants including diverse ingredients suited for various needs. In this work, we propose a new variant -- Boolean P systems -- specifically designed for reasoning about sequential controllability of Boolean networks, and use it to first establish a crisp formalization of the problem, and then to prove that the problem of sequential controllability is PSPACE-complete. We further claim that Boolean P systems are a demonstration of how P systems can be used to construct ad hoc formalisms, custom-tailored for reasoning about specific problems, and providing new advantageous points of view.","PeriodicalId":23063,"journal":{"name":"Theor. Comput. Sci.","volume":"26 1","pages":"114056"},"PeriodicalIF":0.0,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73232547","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
Hyper star fault tolerance of bubble sort networks 冒泡排序网络的超星型容错性
Theor. Comput. Sci. Pub Date : 2023-02-01 DOI: 10.2139/ssrn.4062858
Lulu Yang, Xiaohui Hua, Yuxing Yang
{"title":"Hyper star fault tolerance of bubble sort networks","authors":"Lulu Yang, Xiaohui Hua, Yuxing Yang","doi":"10.2139/ssrn.4062858","DOIUrl":"https://doi.org/10.2139/ssrn.4062858","url":null,"abstract":"","PeriodicalId":23063,"journal":{"name":"Theor. Comput. Sci.","volume":"28 1","pages":"113770"},"PeriodicalIF":0.0,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77825929","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
Location Functions for Self-stabilizing Byzantine Tolerant Swarms 自稳定拜占庭容忍群的定位函数
Theor. Comput. Sci. Pub Date : 2023-02-01 DOI: 10.1007/978-3-030-91081-5_15
Yotam Ashkenazi, S. Dolev, S. Kamei, Y. Katayama, Fukuhito Ooshita, K. Wada
{"title":"Location Functions for Self-stabilizing Byzantine Tolerant Swarms","authors":"Yotam Ashkenazi, S. Dolev, S. Kamei, Y. Katayama, Fukuhito Ooshita, K. Wada","doi":"10.1007/978-3-030-91081-5_15","DOIUrl":"https://doi.org/10.1007/978-3-030-91081-5_15","url":null,"abstract":"","PeriodicalId":23063,"journal":{"name":"Theor. Comput. Sci.","volume":"48 1","pages":"113755"},"PeriodicalIF":0.0,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75374751","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
Component connectivity of augmented cubes 增广多维数据集的组件连接性
Theor. Comput. Sci. Pub Date : 2023-02-01 DOI: 10.2139/ssrn.4258148
Qifan Zhang, Shuming Zhou, Eddie Cheng
{"title":"Component connectivity of augmented cubes","authors":"Qifan Zhang, Shuming Zhou, Eddie Cheng","doi":"10.2139/ssrn.4258148","DOIUrl":"https://doi.org/10.2139/ssrn.4258148","url":null,"abstract":"","PeriodicalId":23063,"journal":{"name":"Theor. Comput. Sci.","volume":"3 1","pages":"113784"},"PeriodicalIF":0.0,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72720041","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
Tight Bounds on Sensitivity and Block Sensitivity of Some Classes of Transitive Functions 几类传递函数灵敏度和块灵敏度的紧界
Theor. Comput. Sci. Pub Date : 2023-02-01 DOI: 10.1007/978-3-030-61792-9_26
Siddhesh Chaubal, A. Gál
{"title":"Tight Bounds on Sensitivity and Block Sensitivity of Some Classes of Transitive Functions","authors":"Siddhesh Chaubal, A. Gál","doi":"10.1007/978-3-030-61792-9_26","DOIUrl":"https://doi.org/10.1007/978-3-030-61792-9_26","url":null,"abstract":"","PeriodicalId":23063,"journal":{"name":"Theor. Comput. Sci.","volume":"103 1","pages":"113687"},"PeriodicalIF":0.0,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85846162","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
The complexity of finding low chromatic spanning sub(di)graphs with prescribed connectivity properties 寻找具有规定连通性的低色生成子图(di)的复杂性
Theor. Comput. Sci. Pub Date : 2023-02-01 DOI: 10.2139/ssrn.4101022
J. Bang-Jensen, Anders Yeo
{"title":"The complexity of finding low chromatic spanning sub(di)graphs with prescribed connectivity properties","authors":"J. Bang-Jensen, Anders Yeo","doi":"10.2139/ssrn.4101022","DOIUrl":"https://doi.org/10.2139/ssrn.4101022","url":null,"abstract":"","PeriodicalId":23063,"journal":{"name":"Theor. Comput. Sci.","volume":"38 1","pages":"113758"},"PeriodicalIF":0.0,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87112125","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
Improved NP-hardness results for the minimum t-spanner problem on bounded-degree graphs 改进了有界度图上最小t形扳手问题的np -硬度结果
Theor. Comput. Sci. Pub Date : 2023-01-01 DOI: 10.2139/ssrn.4025071
Renzo Gómez, F. Miyazawa, Yoshiko Wakabayashi
{"title":"Improved NP-hardness results for the minimum t-spanner problem on bounded-degree graphs","authors":"Renzo Gómez, F. Miyazawa, Yoshiko Wakabayashi","doi":"10.2139/ssrn.4025071","DOIUrl":"https://doi.org/10.2139/ssrn.4025071","url":null,"abstract":"","PeriodicalId":23063,"journal":{"name":"Theor. Comput. Sci.","volume":"19 1","pages":"113691"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74304851","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
Overflow Management with Self-eliminations 具有自消除功能的溢出管理
Theor. Comput. Sci. Pub Date : 2023-01-01 DOI: 10.1007/978-3-030-89240-1_9
Assaf Rabinowitz, Dror Rawitz
{"title":"Overflow Management with Self-eliminations","authors":"Assaf Rabinowitz, Dror Rawitz","doi":"10.1007/978-3-030-89240-1_9","DOIUrl":"https://doi.org/10.1007/978-3-030-89240-1_9","url":null,"abstract":"","PeriodicalId":23063,"journal":{"name":"Theor. Comput. Sci.","volume":"1 1","pages":"113732"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77723864","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
Profit Maximization in Social Networks and Non-monotone DR-submodular Maximization 社会网络中的利润最大化与非单调dr -子模最大化
Theor. Comput. Sci. Pub Date : 2022-12-13 DOI: 10.48550/arXiv.2212.06646
Shuyang Gu, Chuangen Gao, Jun Huang, Weili Wu
{"title":"Profit Maximization in Social Networks and Non-monotone DR-submodular Maximization","authors":"Shuyang Gu, Chuangen Gao, Jun Huang, Weili Wu","doi":"10.48550/arXiv.2212.06646","DOIUrl":"https://doi.org/10.48550/arXiv.2212.06646","url":null,"abstract":"In this paper, we study the non-monotone DR-submodular function maximization over integer lattice. Functions over integer lattice have been defined submodular property that is similar to submodularity of set functions. DR-submodular is a further extended submodular concept for functions over the integer lattice, which captures the diminishing return property. Such functions find many applications in machine learning, social networks, wireless networks, etc. The techniques for submodular set function maximization can be applied to DR-submodular function maximization, e.g., the double greedy algorithm has a $1/2$-approximation ratio, whose running time is $O(nB)$, where $n$ is the size of the ground set, $B$ is the integer bound of a coordinate. In our study, we design a $1/2$-approximate binary search double greedy algorithm, and we prove that its time complexity is $O(nlog B)$, which significantly improves the running time. Specifically, we consider its application to the profit maximization problem in social networks with a bipartite model, the goal of this problem is to maximize the net profit gained from a product promoting activity, which is the difference of the influence gain and the promoting cost. We prove that the objective function is DR-submodular over integer lattice. We apply binary search double greedy algorithm to this problem and verify the effectiveness.","PeriodicalId":23063,"journal":{"name":"Theor. Comput. Sci.","volume":"1 1","pages":"113847"},"PeriodicalIF":0.0,"publicationDate":"2022-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79794104","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
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