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» Randomness and Representation of Span n Sequences
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SAC
2010
ACM
14 years 2 months ago
Spanders: distributed spanning expanders
We consider self-stabilizing and self-organizing distributed construction of a spanner that forms an expander. The following results are presented. • A randomized technique to r...
Shlomi Dolev, Nir Tzachar
SOFSEM
2007
Springer
14 years 1 months ago
Competitive Maintenance of Minimum Spanning Trees in Dynamic Graphs
Abstract. We consider the problem of maintaining a minimum spanning tree within a graph with dynamically changing edge weights. An online algorithm is confronted with an input sequ...
Miroslaw Dynia, Miroslaw Korzeniowski, Jaroslaw Ku...
SODA
1998
ACM
157views Algorithms» more  SODA 1998»
13 years 8 months ago
A Polynomial Time Approximation Scheme for Minimum Routing Cost Spanning Trees
Given an undirected graph with nonnegative costs on the edges, the routing cost of any of its spanning trees is the sum over all pairs of vertices of the cost of the path between t...
Bang Ye Wu, Giuseppe Lancia, Vineet Bafna, Kun-Mao...
JACM
2010
135views more  JACM 2010»
13 years 5 months ago
A dynamic data structure for 3-D convex hulls and 2-D nearest neighbor queries
We present a fully dynamic randomized data structure that can answer queries about the convex hull of a set of n points in three dimensions, where insertions take O(log3 n) expect...
Timothy M. Chan
RSA
2010
108views more  RSA 2010»
13 years 5 months ago
Resolvent of large random graphs
We analyze the convergence of the spectrum of large random graphs to the spectrum of a limit infinite graph. We apply these results to graphs converging locally to trees and deri...
Charles Bordenave, Marc Lelarge