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Approximation algorithms for the largest common subtree problem

Author: Sanjeev Khanna; Rajeev Motwani; F Frances Yao; Stanford University. Computer Science Department.
Publisher: Stanford, Calif. : Stanford University, Dept. of Computer Science, [1995]
Series: Report (Stanford University. Computer Science Department), STAN- CS-TR-95-1545.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
Abstract: "The largest common subtree problem is to find a largest tree which occurs as a common subgraph in a given collection of trees. Let n denote the number of vertices in the largest tree in the collection. We show that in the case of bounded degree trees, it is possible to achieve an approximation ratio of O(n(log log n)/log²n). For unbounded degree trees, we give an algorithm with approximation ratio O(n(log  Read more...
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Document Type: Book
All Authors / Contributors: Sanjeev Khanna; Rajeev Motwani; F Frances Yao; Stanford University. Computer Science Department.
OCLC Number: 34331550
Notes: Cover title.
"February 1995."
Description: 7 pages ; 28 cm.
Series Title: Report (Stanford University. Computer Science Department), STAN- CS-TR-95-1545.
Responsibility: by Sanjeev Khanna, Rajeev Motwani and Frances F. Yao.

Abstract:

Abstract: "The largest common subtree problem is to find a largest tree which occurs as a common subgraph in a given collection of trees. Let n denote the number of vertices in the largest tree in the collection. We show that in the case of bounded degree trees, it is possible to achieve an approximation ratio of O(n(log log n)/log²n). For unbounded degree trees, we give an algorithm with approximation ratio O(n(log log n)²/log²n) when the trees are unlabeled. An approximation ratio of O(n(log log n)²/log²n) is also achieved for the case of labeled unbounded degree trees provided the number of distinct labels is O(log[superscript 0(1)]n)."

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