Name
Abstract | ||
|---|---|---|
Let $\Sigma$ and $\Pi$ be disjoint alphabets of respective size $\sigma$ and $\pi$. Two strings over $\Sigma \cup \Pi$ of equal length are said to parameterized match (p-match) if there is a bijection $f:\Sigma \cup \Pi \rightarrow \Sigma \cup \Pi$ such that (1) $f$ is identity on $\Sigma$ and (2) $f$ maps the characters of one string to those of the other string so that the two strings become identical. We consider the p-matching problem on a (reversed) trie $\mathcal{T}$ and a string pattern $P$ such that every path that p-matches $P$ has to be reported. Let $N$ be the size of the given trie $\mathcal{T}$. In this paper, we propose the parameterized position heap for $\mathcal{T}$ that occupies $O(N)$ space and supports p-matching queries in $O(m \log (\sigma + \pi) + m \pi + \mathit{pocc}))$ time, where $m$ is the length of a query pattern $P$ and $\mathit{pocc}$ is the number of paths in $\mathcal{T}$ to report. We also present an algorithm which constructs the parameterized position heap for a given trie $\mathcal{T}$ in $O(N (\sigma + \pi))$ time and working space. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1007/978-3-030-17402-6_20 | CIAC |
DocType | Volume | Citations |
Journal | abs/1903.06289 | 0 |
PageRank | References | Authors |
0.34 | 0 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Noriki Fujisato | 1 | 0 | 1.01 |
| Yuto Nakashima | 2 | 57 | 19.52 |
| Shunsuke Inenaga | 3 | 595 | 79.02 |
| Hideo Bannai | 4 | 620 | 79.87 |
| Masayuki Takeda | 5 | 9 | 13.78 |