Quantum Verification of Minimum Spanning Tree

Mark Heiligman

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arXiv · 1112.1139

Quantum Verification of Minimum Spanning Tree

Mark Heiligman

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Abstract

Previous studies has shown that for a weighted undirected graph having $n$ vertices and $m$ edges, a minimal weight spanning tree can be found with $O^*(\sqrt{mn})$ calls to the weight oracle. The present note shows that a given spanning tree can be verified to be a minimal weight spanning tree with only $O(n\bigr)$ calls to the weight oracle and $O(n+\sqrt{m}\log n)$ total work.

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BibTeX RIS

Mark Heiligman. 2011-12-05. Quantum Verification of Minimum Spanning Tree. https://arxiv.org/abs/1112.1139

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