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» Path Algorithms on Regular Graphs
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COCOON
2007
Springer
14 years 1 months ago
Can a Graph Have Distinct Regular Partitions?
The regularity lemma of Szemer´edi gives a concise approximate description of a graph via a so called regular-partition of its vertex set. In this paper we address the following ...
Noga Alon, Asaf Shapira, Uri Stav
JGT
2010
93views more  JGT 2010»
13 years 6 months ago
An asymptotic version of a conjecture by Enomoto and Ota
. Dirac. Some theorems on abstract graphs. Proc. London Math. Soc. (3), 2:69–81, 1952. [2] Hikoe Enomoto and Katsuhiro Ota. Partitions of a graph into paths with prescribed endve...
Colton Magnant, Daniel M. Martin
FOCS
2010
IEEE
13 years 5 months ago
Replacement Paths via Fast Matrix Multiplication
Let G be a directed edge-weighted graph and let P be a shortest path from s to t in G. The replacement paths problem asks to compute, for every edge e on P, the shortest s-to-t pat...
Oren Weimann, Raphael Yuster
MFCS
2007
Springer
14 years 1 months ago
Uncover Low Degree Vertices and Minimise the Mess: Independent Sets in Random Regular Graphs
Abstract. We present algorithmic lower bounds on the size of the largest independent sets of vertices in a random d-regular graph. Our bounds hold with probability approaching one ...
William Duckworth, Michele Zito
FOCS
2009
IEEE
14 years 2 months ago
Distance Oracles for Sparse Graphs
Abstract— Thorup and Zwick, in their seminal work, introduced the approximate distance oracle, which is a data structure that answers distance queries in a graph. For any integer...
Christian Sommer 0002, Elad Verbin, Wei Yu