Using Petal-Decompositions to Build a Low Stretch Spanning Tree

Ittai Abraham and Ofer Neiman

2012

We prove that any graph G=(V,E) with n points and m edges has a spanning tree T such that sum_{(u,v)∈ E(G)}d_{T}(u,v) = O(m log n log log n). Moreover such a tree can be found in time O(m log nlog log n). Our result is obtained using a new petal-decomposition approach which guarantees that the radius of each cluster in the tree is at most 4 times the radius of the induced subgraph of the cluster in the original graph.

Publication type | Inproceedings |

Published in | STOC |

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