The Probabilistic Minimum Spanning Tree Problem Part I Complexity And Combina
The Probabilistic Minimum Spanning Tree Problem Part I Complexity And Combina
Dimitris Bertsimas
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Combining (19), (20) we find [k — l)(n — K + 1) 31 Applying (21) inductively we easily obtciin (17) Then from (16), (17) we find Therefore, ^[Ea/st] > tp'i^-Pr-'^f^fjLMST. np + a-pT-l ^[■^MSTl d. \ LmST- n — 1 Note that as n — ^ oc the bound becomes It is not clear that E[E\fST] E[Ltp]- Let G = {V, E) be a complete graph A'„ with c{i, j) = c, + Cj, ci
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