{"title":"Two-closures of supersolvable permutation groups in polynomial time","authors":"Ilia N. Ponomarenko, A. Vasil’ev","doi":"10.1007/s00037-020-00195-7","DOIUrl":"https://doi.org/10.1007/s00037-020-00195-7","url":null,"abstract":"","PeriodicalId":51005,"journal":{"name":"Computational Complexity","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s00037-020-00195-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48600362","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Andreas Galanis, L. A. Goldberg, Andrés Herrera-Poyatos
{"title":"The complexity of approximating the complex-valued Potts model","authors":"Andreas Galanis, L. A. Goldberg, Andrés Herrera-Poyatos","doi":"10.4230/LIPIcs.MFCS.2020.36","DOIUrl":"https://doi.org/10.4230/LIPIcs.MFCS.2020.36","url":null,"abstract":"We study the complexity of approximating the partition function of the q-state Potts model and the closely related Tutte polynomial for complex values of the underlying parameters. Apart from the classical connections with quantum computing and phase transitions in statistical physics, recent work in approximate counting has shown that the behaviour in the complex plane, and more precisely the location of zeros, is strongly connected with the complexity of the approximation problem, even for positive real-valued parameters. Previous work in the complex plane by Goldberg and Guo focused on q = 2, which corresponds to the case of the Ising model; for q > 2, the behaviour in the complex plane is not as well understood and most work applies only to the real-valued Tutte plane. Our main result is a complete classification of the complexity of the approximation problems for all non-real values of the parameters, by establishing #P-hardness results that apply even when restricted to planar graphs. Our techniques apply to all q $$geq$$ ≥ 2 and further complement/refine previous results both for the Ising model and the Tutte plane, answering in particular a question raised by Bordewich, Freedman, Lovász and Welsh in the context of quantum computations.","PeriodicalId":51005,"journal":{"name":"Computational Complexity","volume":"31 1","pages":"1-94"},"PeriodicalIF":1.4,"publicationDate":"2020-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42281150","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nathanaël Fijalkow, Guillaume Lagarde, Pierre Ohlmann, O. Serre
{"title":"Lower Bounds for Arithmetic Circuits via the Hankel Matrix","authors":"Nathanaël Fijalkow, Guillaume Lagarde, Pierre Ohlmann, O. Serre","doi":"10.1007/s00037-021-00214-1","DOIUrl":"https://doi.org/10.1007/s00037-021-00214-1","url":null,"abstract":"","PeriodicalId":51005,"journal":{"name":"Computational Complexity","volume":"30 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2020-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45130291","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Prasad Chaugule, Mrinal Kumar, N. Limaye, C. K. Mohapatra, Adrian She, S. Srinivasan
{"title":"Schur Polynomials Do Not Have Small Formulas If the Determinant does not","authors":"Prasad Chaugule, Mrinal Kumar, N. Limaye, C. K. Mohapatra, Adrian She, S. Srinivasan","doi":"10.1007/s00037-023-00236-x","DOIUrl":"https://doi.org/10.1007/s00037-023-00236-x","url":null,"abstract":"","PeriodicalId":51005,"journal":{"name":"Computational Complexity","volume":"32 1","pages":"1-47"},"PeriodicalIF":1.4,"publicationDate":"2019-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43047760","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Prerona Chatterjee, Mrinal Kumar, Adrian She, Ben lee Volk
{"title":"Quadratic Lower Bounds for Algebraic Branching Programs and Formulas","authors":"Prerona Chatterjee, Mrinal Kumar, Adrian She, Ben lee Volk","doi":"10.1007/s00037-022-00223-8","DOIUrl":"https://doi.org/10.1007/s00037-022-00223-8","url":null,"abstract":"","PeriodicalId":51005,"journal":{"name":"Computational Complexity","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2019-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45358655","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Quantum versus Randomized Communication Complexity, with Efficient Players","authors":"Uma Girish, R. Raz, Avishay Tal","doi":"10.1007/s00037-022-00232-7","DOIUrl":"https://doi.org/10.1007/s00037-022-00232-7","url":null,"abstract":"","PeriodicalId":51005,"journal":{"name":"Computational Complexity","volume":"31 1","pages":"1-44"},"PeriodicalIF":1.4,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45907399","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}