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Simple fast algorithms for the editing distance between trees and related problems

by Kaizhong Zhang, Dennis Shasha - SIAM J. COMPUT , 1989
"... Ordered labeled trees are trees in which the left-to-right order among siblings is. significant. The distance between two ordered trees is considered to be the weighted number of edit operations (insert, delete, and modify) to transform one tree to another. The problem of approximate tree matching i ..."
Abstract - Cited by 405 (12 self) - Add to MetaCart
Ordered labeled trees are trees in which the left-to-right order among siblings is. significant. The distance between two ordered trees is considered to be the weighted number of edit operations (insert, delete, and modify) to transform one tree to another. The problem of approximate tree matching

A survey on tree edit distance and related problems

by Philip Bille - Theor. Comput. Sci , 2005
"... We survey the problem of comparing labeled trees based on simple local operations of deleting, inserting, and relabeling nodes. These operations lead to the tree edit distance, alignment distance, and inclusion problem. For each problem we review the results available and present, in detail, one or ..."
Abstract - Cited by 181 (1 self) - Add to MetaCart
We survey the problem of comparing labeled trees based on simple local operations of deleting, inserting, and relabeling nodes. These operations lead to the tree edit distance, alignment distance, and inclusion problem. For each problem we review the results available and present, in detail, one

A Graph Distance Metric Based on the Maximal Common Subgraph

by Horst Bunke, Kim Shearer , 1998
"... Error-tolerant graph matching is a powerful concept that has various applications in pattern recognition and machine vision. In the present paper, a new distance measure on graphs is proposed. It is based on the maximal common subgraph of two graphs. The new measure is superior to edit distance base ..."
Abstract - Cited by 174 (13 self) - Add to MetaCart
based measures in that no particular edit operations together with their costs need to be defined. It is formally shown that the new distance measure is a metric. Potential algorithms for the efficient computation of the new measure are discussed. q 1998 Elsevier Science B.V. All rights reserved

Approximate Nearest Neighbors and Sequence Comparison With Block Operations

by S. Muthukrishnan, Süleyman Cenk Sahinalp - IN STOC , 2000
"... We study sequence nearest neighbors (SNN). Let D be a database of n sequences; we would like to preprocess D so that given any on-line query sequence Q we can quickly find a sequence S in D for which d(S; Q) d(S; T ) for any other sequence T in D. Here d(S; Q) denotes the distance between sequences ..."
Abstract - Cited by 46 (6 self) - Add to MetaCart
in a given application. Natural edit operations include character edits (inserts, replacements, deletes etc), block edits (moves, copies, deletes, reversals) and block numerical transformations (scaling by an additive or a multiplicative constant). The SNN problem arises in many applications. We

Optimal Designs for Space-Time Linear Precoders and Decoders

by Anna Scaglione, Petre Stoica, Sergio Barbarossa, Georgios B. Giannakis, Hemanth Sampath - IEEE Trans. Signal Processing , 2001
"... In this paper we introduce a new paradigm for the design of transmitter space-time coding that we refer to as linear precoding. It leads to simple closed form solutions for transmission over frequency selective multiple-input multiple-output (MIMO) channels, which are scalable with respect to the nu ..."
Abstract - Cited by 197 (6 self) - Add to MetaCart
to the number of antennas, size of the coding block and transmit average/peak power. The scheme operates as a block transmission system in which vectors of symbols are encoded and modulated through a linear mapping operating jointly in the space and time dimension. The specific designs target minimization

Computing the edit-distance between unrooted ordered trees

by Philip N. Klein - In Proceedings of the 6th annual European Symposium on Algorithms (ESA , 1998
"... Abstract. An ordered tree is a tree in which each node’s incident edges are cyclically ordered; think of the tree as being embedded in the plane. Let A and B be two ordered trees. The edit distance between A and B is the minimum cost of a sequence of operations (contract an edge, uncontract an edge, ..."
Abstract - Cited by 98 (0 self) - Add to MetaCart
Abstract. An ordered tree is a tree in which each node’s incident edges are cyclically ordered; think of the tree as being embedded in the plane. Let A and B be two ordered trees. The edit distance between A and B is the minimum cost of a sequence of operations (contract an edge, uncontract an edge

Level set surface editing operators

by Ken Museth, Alan H. Barr - SIGGRAPH , 2002
"... Figure 1: Surfaces edited with level set operators. Left: A damaged Greek bust model is repaired with a new nose, chin and sharpened hair. Right: A new model is constructed from models of a griffin and dragon (small figures), producing a two-headed, winged dragon. We present a level set framework fo ..."
Abstract - Cited by 103 (10 self) - Add to MetaCart
-defined building blocks to create the desired speed function. The surface editing op-erators are quickly computed and may be applied both regionally and globally. The level set framework offers several advantages. 1) By construction, self-intersection cannot occur, which guarantees the generation of physically

On the Editing Distance between Undirected Acyclic Graphs

by Kaizhong Zhang, Jason Wang, Dennis Shasha, Communicated T. Jiang , 1995
"... We consider the problem of comparing CUAL graphs (Connected, Undirected, Acyclic graphs with nodes being Labeled). This problem is motivated by the study of information retrieval for bio-chemical and molecular databases. Suppose we define the distance between two CUAL graphs G1 and G2 to be the weig ..."
Abstract - Cited by 88 (7 self) - Add to MetaCart
to be the weighted number of edit operations (insert node, delete node and relabel node) to transform G1 to G2. By reduction from exact cover by 3-sets, one can show that finding the distance between two CUAL graphs is NP-complete. In view of the hardness of the problem, we propose a constrained distance metric

Efficient Algorithms for the Block Edit Problems ∗

by Hsing-yen Ann, Chang-biau Yang, Yung-hsing Peng, Bern-cherng Liaw
"... In this paper, we focus on the edit distance of two given strings where block-edit operations are allowed and better fitting to the natural edit behaviors. Previous results showed that this problem is NP-hard when recursive moves are allowed. Various approximations to this problem were also proposed ..."
Abstract - Cited by 5 (3 self) - Add to MetaCart
In this paper, we focus on the edit distance of two given strings where block-edit operations are allowed and better fitting to the natural edit behaviors. Previous results showed that this problem is NP-hard when recursive moves are allowed. Various approximations to this problem were also

The String Edit Distance Matching Problems with Moves

by Graham Cormode, S. Muthukrishnan , 2006
"... The edit distance between two strings S and R is defined to be the minimum number of character inserts, deletes and changes needed to convert R to S. Given a text string t of length n, and a pattern string p of length m, informally, the string edit distance matching problem is to compute the smalles ..."
Abstract - Cited by 69 (3 self) - Add to MetaCart
the smallest edit distance between p and substrings of t. We relax the problem so that (a) we allow an additional operation, namely, substring moves, and (b) we allow approximation of this string edit distance. Our result is a near linear time deterministic algorithm to produce a factor of O(log n log ∗ n
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