{"title":"Parameter Compilation","authors":"Hubie Chen","doi":"10.4230/LIPIcs.IPEC.2015.127","DOIUrl":"https://doi.org/10.4230/LIPIcs.IPEC.2015.127","url":null,"abstract":"In resolving instances of a computational problem, if multiple instances of interest share a feature in common, it may be fruitful to compile this feature into a format that allows for more efficient resolution, even if the compilation is relatively expensive. In this article, we introduce a formal framework for classifying problems according to their compilability. The basic object in our framework is that of a parameterized problem, which here is a language along with a parameterization—a map which provides, for each instance, a so-called parameter on which compilation may be performed. Our framework is positioned within the paradigm of parameterized complexity, and our notions are relatable to established concepts in the theory of parameterized complexity. Indeed, we view our framework as playing a unifying role, integrating together parameterized complexity and compilability theory.","PeriodicalId":137775,"journal":{"name":"International Symposium on Parameterized and Exact Computation","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129128649","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}
{"title":"Optimal dynamic program for r-domination problems over tree decompositions","authors":"G. Borradaile, Hung Le","doi":"10.4230/LIPIcs.IPEC.2016.8","DOIUrl":"https://doi.org/10.4230/LIPIcs.IPEC.2016.8","url":null,"abstract":"There has been recent progress in showing that the exponential dependence on treewidth in dynamic programming algorithms for solving NP-hard problems are optimal under the Strong Exponential Time Hypothesis (SETH). We extend this work to $r$-domination problems. In $r$-dominating set, one wished to find a minimum subset $S$ of vertices such that every vertex of $G$ is within $r$ hops of some vertex in $S$. In connected $r$-dominating set, one additionally requires that the set induces a connected subgraph of $G$. We give a $O((2r+1)^{mathrm{tw}} n)$ time algorithm for $r$-dominating set and a $O((2r+2)^{mathrm{tw}} n^{O(1)})$ time algorithm for connected $r$-dominating set in $n$-vertex graphs of treewidth $mathrm{tw}$. We show that the running time dependence on $r$ and $mathrm{tw}$ is the best possible under SETH. This adds to earlier observations that a \"+1\" in the denominator is required for connectivity constraints.","PeriodicalId":137775,"journal":{"name":"International Symposium on Parameterized and Exact Computation","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133844609","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}
{"title":"On Kernels for Covering and Packing ILPs with Small Coefficients","authors":"Stefan Kratsch, Vuong Anh Quyen","doi":"10.1007/978-3-319-13524-3_26","DOIUrl":"https://doi.org/10.1007/978-3-319-13524-3_26","url":null,"abstract":"","PeriodicalId":137775,"journal":{"name":"International Symposium on Parameterized and Exact Computation","volume":"76 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121716613","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}
{"title":"Lower Bounds for Kernelization","authors":"H. Bodlaender","doi":"10.1007/978-3-319-13524-3_1","DOIUrl":"https://doi.org/10.1007/978-3-319-13524-3_1","url":null,"abstract":"","PeriodicalId":137775,"journal":{"name":"International Symposium on Parameterized and Exact Computation","volume":"372 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115280182","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}
{"title":"Shortest Paths in Nearly Conservative Digraphs","authors":"Z. Király","doi":"10.1007/978-3-319-13524-3_20","DOIUrl":"https://doi.org/10.1007/978-3-319-13524-3_20","url":null,"abstract":"","PeriodicalId":137775,"journal":{"name":"International Symposium on Parameterized and Exact Computation","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114952624","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}
P. Bonsma, A. E. Mouawad, N. Nishimura, Venkatesh Raman
{"title":"The Complexity of Bounded Length Graph Recoloring and CSP Reconfiguration","authors":"P. Bonsma, A. E. Mouawad, N. Nishimura, Venkatesh Raman","doi":"10.1007/978-3-319-13524-3_10","DOIUrl":"https://doi.org/10.1007/978-3-319-13524-3_10","url":null,"abstract":"","PeriodicalId":137775,"journal":{"name":"International Symposium on Parameterized and Exact Computation","volume":"124 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123201804","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}
{"title":"Parameterized Inapproximability of Degree Anonymization","authors":"C. Bazgan, A. Nichterlein","doi":"10.1007/978-3-319-13524-3_7","DOIUrl":"https://doi.org/10.1007/978-3-319-13524-3_7","url":null,"abstract":"","PeriodicalId":137775,"journal":{"name":"International Symposium on Parameterized and Exact Computation","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124213110","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}
{"title":"The k -Distinct Language: Parameterized Automata Constructions","authors":"R. Ben-Basat, Ariel Gabizon, M. Zehavi","doi":"10.1007/978-3-319-13524-3_8","DOIUrl":"https://doi.org/10.1007/978-3-319-13524-3_8","url":null,"abstract":"","PeriodicalId":137775,"journal":{"name":"International Symposium on Parameterized and Exact Computation","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117047551","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}
{"title":"On Polynomial Kernelization of H -free Edge Deletion","authors":"N. Aravind, R. B. Sandeep, N. Sivadasan","doi":"10.1007/978-3-319-13524-3_3","DOIUrl":"https://doi.org/10.1007/978-3-319-13524-3_3","url":null,"abstract":"","PeriodicalId":137775,"journal":{"name":"International Symposium on Parameterized and Exact Computation","volume":"255 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133114811","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}
Jakub Gajarský, J. Obdržálek, S. Ordyniak, F. Reidl, P. Rossmanith, Fernando Sánchez Villaamil, S. Sikdar
{"title":"Finite Integer Index of Pathwidth and Treewidth","authors":"Jakub Gajarský, J. Obdržálek, S. Ordyniak, F. Reidl, P. Rossmanith, Fernando Sánchez Villaamil, S. Sikdar","doi":"10.1007/978-3-319-13524-3_22","DOIUrl":"https://doi.org/10.1007/978-3-319-13524-3_22","url":null,"abstract":"","PeriodicalId":137775,"journal":{"name":"International Symposium on Parameterized and Exact Computation","volume":"91 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126181387","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}