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» Spanning Trees and Shortest Paths in Monge Graphs
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POPL
2010
ACM
15 years 7 months ago
Continuity Analysis of Programs
We present an analysis to automatically determine if a program represents a continuous function, or equivalently, if infinitesimal changes to its inputs can only cause infinitesim...
Swarat Chaudhuri, Sumit Gulwani, Roberto Lublinerm...
ESA
1994
Springer
138views Algorithms» more  ESA 1994»
15 years 1 months ago
Efficient Construction of a Bounded Degree Spanner with Low Weight
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a graph having the points of S as its vertices such that for any pair p, q of points ther...
Sunil Arya, Michiel H. M. Smid
JOIN
2007
91views more  JOIN 2007»
14 years 9 months ago
An Optimal Rebuilding Strategy for an Incremental Tree Problem
This paper is devoted to the following incremental problem. Initially, a graph and a distinguished subset of vertices, called initial group, are given. This group is connected by ...
Nicolas Thibault, Christian Laforest
SIAMCOMP
2008
78views more  SIAMCOMP 2008»
14 years 9 months ago
I/O-Efficient Planar Separators
We present a new algorithm to compute a subset S of vertices of a planar graph G whose removal partitions G into O(N/h) subgraphs of size O(h) and with boundary size O( h) each. ...
Anil Maheshwari, Norbert Zeh
RSA
2010
89views more  RSA 2010»
14 years 8 months ago
Edge flows in the complete random-lengths network
Consider the complete n-vertex graph whose edge-lengths are independent exponentially distributed random variables. Simultaneously for each pair of vertices, put a constant flow ...
David J. Aldous, Shankar Bhamidi