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Regular version of the site

Book chapter

Heuristics for Minimum Spanning K-tree Problem

P. 1074-1083.
Shangin R. E., Pardalos P. M.

In this paper we consider the problem of finding a spanning k-tree of minimum weight in a complete weighted graph which has a number of applications in designing reliable telecommunication networks. This problem is known to be NP-hard. We propose four effective heuristics: the first heuristic is based on the idea of a well-known Prim's algorithm, the second one is based on a dynamic programming approach, and the other two use the idea of iterative improvement from a starting solution. Preliminary numerical experiment was performed to compare the effectiveness of the proposed algorithms with known heuristics and exact algorithms.