DocumentCode
1595931
Title
Nearly Tight Low Stretch Spanning Trees
Author
Abraham, Ittai ; Bartal, Yair ; Neiman, Ofer
Author_Institution
Sch. of Eng. & Comput. Sci., Hebrew Univ.
fYear
2008
Firstpage
781
Lastpage
790
Abstract
We prove that any graph G with n points has a distribution T over spanning trees such that for any edge (u, v) the expected stretch ET~T[dT(u, nu)/dG(u, nu)] is bounded by Otilde(log n). Our result is obtained via a new approach of building "highways" between portals and a new strong diameter probabilistic decomposition theorem.
Keywords
computational complexity; trees (mathematics); graph; nearly tight low stretch spanning trees; portals; probabilistic decomposition theorem; Clustering algorithms; Computer science; Linear systems; Mathematics; Portals; Road transportation; Tree graphs; Upper bound; spanning tree low stretch;
fLanguage
English
Publisher
ieee
Conference_Titel
Foundations of Computer Science, 2008. FOCS '08. IEEE 49th Annual IEEE Symposium on
Conference_Location
Philadelphia, PA
ISSN
0272-5428
Print_ISBN
978-0-7695-3436-7
Type
conf
DOI
10.1109/FOCS.2008.62
Filename
4691010
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