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Maximum Spanning k-Tree: A Case Study Cai, Liming
Description
The Maximum Spanning Backbone k-Tree (BkT) problem, for k 2, is to find a maximum weight spanning k-tree from the input edge-weighted graph with a designated Hamiltonian path to be desired in the output spanning graph. Originally motivated by research in bio-molecular 3D structure prediction, BkT turns out a typical problem in a new class of languages definable beyond Monadic Second Order logic. We show that, unlike the Maximum Spanning k-Tree problem that is NP-hard for even k = 2, the BkT problem is solvable in time O(nk+1), for every fixed k 2. While there is evidence of difficulty to improve the polynomial degree k + 1 to any number lower, we show that there are O(n3)-time algorithms to approximate the BkT problem to the ratio k(k
Item Metadata
Title |
Maximum Spanning k-Tree: A Case Study
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2015-12-03T11:29
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Description |
The Maximum Spanning Backbone k-Tree (BkT) problem, for k 2, is to find a maximum weight spanning k-tree from the input edge-weighted graph with a designated Hamiltonian path to be desired in the output spanning graph. Originally motivated by research in bio-molecular 3D structure prediction, BkT turns out a typical problem in a new class of languages definable beyond Monadic Second Order logic. We show that, unlike the Maximum Spanning k-Tree problem that is NP-hard for even k = 2, the BkT problem is solvable in time O(nk+1), for every fixed k 2. While there is evidence of difficulty to improve the polynomial degree k + 1 to any number lower, we show that there are O(n3)-time algorithms to approximate the BkT problem to the ratio k(k
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Extent |
35 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Georgia
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Series | |
Date Available |
2016-06-07
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0304581
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International