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          <dc:title>A Framework for Dynamic Parameterized Dictionary Matching</dc:title>
          <dc:creator>Ganguly, Arnab</dc:creator>
          <dc:creator>Hon, Wing-Kai</dc:creator>
          <dc:creator>Shah, Rahul</dc:creator>
          <dc:subject>Parameterized Dictionary Indexing</dc:subject>
          <dc:subject>Generalized Suffix Tree</dc:subject>
          <dc:subject>Succinct Data Structures</dc:subject>
          <dc:subject>Sparsification</dc:subject>
          <dc:description>Two equal-length strings S and S' are a parameterized-match (p-match) iff there exists a one-to-one function that renames the characters in S to those in S'. Let P be a collection of d patterns of total length n characters that are chosen from an alphabet Sigma of cardinality sigma. The task is to index P such that we can support the following operations. &#13;
&#13;
* search(T): given a text T, report all occurrences &lt;j,P_i&gt; such that there exists a pattern P_i in P that is a p-match with the substring T[j,j+|P_i|-1].&#13;
&#13;
* ins(P_i)/del(P_i): modify the index when a pattern P_i is inserted/deleted.&#13;
&#13;
We present a linear-space index that occupies O(n*log n) bits and supports (i) search(T) in worst-case O(|T|*log^2 n + occ) time, where occ is the number of occurrences reported, and (ii) ins(P_i) and del(P_i) in amortized O(|P_i|*polylog(n)) time.&#13;
Then, we present a succinct index that occupies (1+o(1))n*log sigma + O(d*log n) bits and supports (i) search(T) in worst-case O(|T|*log^2 n + occ) time, and (ii) ins(P_i) and del(P_i) in amortized O(|P_i|*polylog(n)) time. We also present results related to the semi-dynamic variant of the problem, where deletion is not allowed.</dc:description>
          <dc:publisher>Schloss Dagstuhl – Leibniz-Zentrum für Informatik</dc:publisher>
          <dc:contributor>Arnab Ganguly and Wing-Kai Hon and Rahul Shah</dc:contributor>
          <dc:date>2016</dc:date>
          <dc:relation>Is Part Of LIPIcs, Volume 53, 15th Scandinavian Symposium and Workshops on Algorithm Theory (SWAT 2016)</dc:relation>
          <dc:type>InProceedings</dc:type>
          <dc:type>Text</dc:type>
          <dc:type>doc-type:ResearchArticle</dc:type>
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          <dc:identifier>doi:10.4230/LIPIcs.SWAT.2016.10</dc:identifier>
          <dc:identifier>urn:nbn:de:0030-drops-60256</dc:identifier>
          <dc:identifier>https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SWAT.2016.10</dc:identifier>
          <dc:language>eng</dc:language>
          <dc:rights>https://creativecommons.org/licenses/by/3.0/legalcode</dc:rights>
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