A Constant-Factor Approximation Algorithm for Embedding Unweighted Graphs into Trees

We present a constant-factor approximation algorithm for computing anembedding of the shortest path metric of an unweighted graph into atree, that minimizes the multiplicative distortion.

Bibliographic Details
Main Authors: Badoiu, Mihai, Indyk, Piotr, Sidiropoulos, Anastasios
Language:en_US
Published: 2005
Subjects:
Online Access:http://hdl.handle.net/1721.1/30484
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author Badoiu, Mihai
Indyk, Piotr
Sidiropoulos, Anastasios
author_facet Badoiu, Mihai
Indyk, Piotr
Sidiropoulos, Anastasios
author_sort Badoiu, Mihai
collection MIT
description We present a constant-factor approximation algorithm for computing anembedding of the shortest path metric of an unweighted graph into atree, that minimizes the multiplicative distortion.
first_indexed 2024-09-23T15:58:57Z
id mit-1721.1/30484
institution Massachusetts Institute of Technology
language en_US
last_indexed 2024-09-23T15:58:57Z
publishDate 2005
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spelling mit-1721.1/304842019-04-11T06:23:31Z A Constant-Factor Approximation Algorithm for Embedding Unweighted Graphs into Trees Badoiu, Mihai Indyk, Piotr Sidiropoulos, Anastasios AI embeddings approximation algorithms trees We present a constant-factor approximation algorithm for computing anembedding of the shortest path metric of an unweighted graph into atree, that minimizes the multiplicative distortion. 2005-12-22T01:35:27Z 2005-12-22T01:35:27Z 2004-07-05 MIT-CSAIL-TR-2004-045 AIM-2004-015 http://hdl.handle.net/1721.1/30484 en_US Massachusetts Institute of Technology Computer Science and Artificial Intelligence Laboratory 8 p. 6685848 bytes 331083 bytes application/postscript application/pdf application/postscript application/pdf
spellingShingle AI
embeddings
approximation algorithms
trees
Badoiu, Mihai
Indyk, Piotr
Sidiropoulos, Anastasios
A Constant-Factor Approximation Algorithm for Embedding Unweighted Graphs into Trees
title A Constant-Factor Approximation Algorithm for Embedding Unweighted Graphs into Trees
title_full A Constant-Factor Approximation Algorithm for Embedding Unweighted Graphs into Trees
title_fullStr A Constant-Factor Approximation Algorithm for Embedding Unweighted Graphs into Trees
title_full_unstemmed A Constant-Factor Approximation Algorithm for Embedding Unweighted Graphs into Trees
title_short A Constant-Factor Approximation Algorithm for Embedding Unweighted Graphs into Trees
title_sort constant factor approximation algorithm for embedding unweighted graphs into trees
topic AI
embeddings
approximation algorithms
trees
url http://hdl.handle.net/1721.1/30484
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