Lower-Stretch Spanning Trees
Copyright policy )NSF| ITR: Collaborative Research: Smoothed Analysis of Algorithms ,
NSF| Spectral Analysis for Graph Partitioning ,
NSF| ITR: Collaborative Research: Smoothed Analysis of Algorithms
Michael Elkin; Yuval Emek; Daniel A. Spielman; Shang-Hua Teng;
Lower-Stretch Spanning Trees
We prove that every weighted graph contains a spanning tree subgraph of average stretch O((log n log log n)^2). Moreover, we show how to construct such a tree in time O(m log^2 n).
FOS: Computer and information sciences, F.2.2; G.2.2, Discrete Mathematics (cs.DM), Computer Science - Data Structures and Algorithms, Data Structures and Algorithms (cs.DS), G.2.2, F.2.2, Computer Science - Discrete Mathematics
FOS: Computer and information sciences, F.2.2; G.2.2, Discrete Mathematics (cs.DM), Computer Science - Data Structures and Algorithms, Data Structures and Algorithms (cs.DS), G.2.2, F.2.2, Computer Science - Discrete Mathematics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).105 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 1% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
selected citations
Citations provided by BIP!
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 105
Top 10%
Top 1%
Top 10%
Green
bronze