Document retrieval with one wildcard

In this paper we extend several well-known document listing problems to the case when documents contain a substring that approximately matches the query pattern. We study the scenario when the query string can contain a wildcard symbol that matches any alphabet symbol; all documents that match a query pattern with one wildcard must be enumerated. We describe a linear space data structure that reports all documents containing a substring P in O(|P|+σlog⁡log⁡log⁡n+docc) time, where σ is the alphabet size and docc is the number of listed documents. We also describe a succinct solution for this problem, as well as a solution for an extension of this problem. Furthermore our approach enables us to obtain an O(nσ)-space data structure that enumerates all documents containing both a pattern P₁ and a pattern P₂ in the special case when P₁ and P₂ differ in one symbol.