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Minimum Cost Edge Subset Covering Exactly k Vertices of a Graph

Author

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  • Jáan Plesník

    (Comenius University)

Abstract

Given a graph G with nonnegative edge costs and an integer k, we consider the problem of finding an edge subset S of minimum total cost with respect to the constraint that S covers exactly k vertices of G. An O(n 3) algorithm is presented where n is the order of G. It is based on the author's previous paper dealing with a similar problem asking S to cover at least k vertices.

Suggested Citation

  • Jáan Plesník, 2001. "Minimum Cost Edge Subset Covering Exactly k Vertices of a Graph," Journal of Combinatorial Optimization, Springer, vol. 5(3), pages 275-286, September.
    • Handle: RePEc:spr:jcomop:v:5:y:2001:i:3:d:10.1023_a:1011457225589
    DOI: 10.1023/A:1011457225589
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