TY - GEN
T1 - Overlap Matching
AU - Amihood, A.
AU - Cole, R.
AU - Hariharan, R
AU - Lewenstein, M
AU - Porat, E
N1 - Place of conference:Washington, D.C.
PY - 2001
Y1 - 2001
N2 - We propose a new paradigm for string matching, namely structural matching. In structural matching, the text and pattern contents are not important. Rather, some areas in the text and pattern, such as intervals, are singled out. A “match” is a text location where a specified relation between the text and pattern areas is satisfied. In particular we define the structural matching problem of overlap (parity) matching. We seek the text locations where all overlaps of the given pattern and text intervals have even length. We show that this problem can be solved in time O(nlogm), where the text length is n and the pattern length is m. As an application of overlap matching, we show how to reduce the string matching with swaps problem to the overlap matching problem. The string matching with swaps problem is the problem of string matching in the presence of local swaps. The best deterministic upper bound known for this problem was O(nm1/3logmlogσ) for a general alphabet Σ, where σ=min(m,|Σ|). Our reduction provides a solution to the pattern matching with swaps problem in time O(nlogmlogσ).
AB - We propose a new paradigm for string matching, namely structural matching. In structural matching, the text and pattern contents are not important. Rather, some areas in the text and pattern, such as intervals, are singled out. A “match” is a text location where a specified relation between the text and pattern areas is satisfied. In particular we define the structural matching problem of overlap (parity) matching. We seek the text locations where all overlaps of the given pattern and text intervals have even length. We show that this problem can be solved in time O(nlogm), where the text length is n and the pattern length is m. As an application of overlap matching, we show how to reduce the string matching with swaps problem to the overlap matching problem. The string matching with swaps problem is the problem of string matching in the presence of local swaps. The best deterministic upper bound known for this problem was O(nm1/3logmlogσ) for a general alphabet Σ, where σ=min(m,|Σ|). Our reduction provides a solution to the pattern matching with swaps problem in time O(nlogmlogσ).
UR - https://scholar.google.co.il/scholar?q=Overlap+Matching&btnG=&hl=en&as_sdt=0%2C5
M3 - Conference contribution
BT - 12th Annual ACM-SIAM Symposium On Discrete Algorithms (SODA)
ER -