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Primal-Dual Meets Local Search: Approximating MSTs With Nonuniform Degree Bounds

2005
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SIAM journal on computing (Print)
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We present a new bicriteria approximation algorithm for the degree-bounded minimum-cost spanning tree problem: Given an undirected graph with nonnegative edge weights and degree bounds Bv > 1 for all vertices v, find a spanning tree T of minimum total edge-cost such that the maximum degree of each node v in T is at most Bv. Our algorithm finds a tree in which the degree of each node v is O(Bv + log n) and the total edge-cost is at most a constant times the cost of any tree that obeys all degree

doi:10.1137/s0097539702418048
fatcat:dqvqv6sywbczpe2mcmm4nyfgsa