The Degree Preserving Spanning Tree Problem: Valid Inequalities and Branch-and-cut method
β Scribed by Gendron, Bernard; Lucena, Abilio; Salles da Cunha, Alexandre; Simonetti, Luidi
- Book ID
- 122855466
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 169 KB
- Volume
- 41
- Category
- Article
- ISSN
- 1571-0653
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## Abstract Suppose __G__ is a connected graph and __T__ a spanning tree of __G__. A vertex __v__ Ξ΅ __V__(__G__) is said to be a degreeβpreserving vertex if its degree in __T__ is the same as its degree in __G__. The degreeβpreserving spanning tree problem is to find a spanning tree __T__ of a conn
The full-degree spanning tree problem is defined as follows: Given a connected graph G G G = (V V V, E E E), find a spanning tree T T T to maximize the number of vertices whose degree in T T T is the same as in G G G (these are called vertices of "full" degree). This problem is NP-hard. We present a