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A Good Algorithm for Minimum Spanning Trees with a Degree Constraint ; CU-CS-105-77 Public Deposited

https://scholar.colorado.edu/concern/reports/kp78gh298
Abstract
  • Given a connected graph with edge costs, we seek a spanning tree having a specified degree at one vertex r, with cost as small as possible. A previous algorithm, using edge exchanges, has run time 0(V^2); we improve this to 0(E log log V+V log V). Here V and E are the number of vertices and edges. The algorithm uses edge exchanges ordered efficiently on a reduced graph; it also uses efficient algorithms for minimum spanning trees and priority queues.
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Date Issued
  • 1977-06-01
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Last Modified
  • 2019-12-21
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