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» Path Algorithms on Regular Graphs
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COCOON
2007
Springer
15 years 6 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
64
Voted
JGT
2010
93views more  JGT 2010»
14 years 11 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
14 years 10 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
94
Voted
MFCS
2007
Springer
15 years 6 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
15 years 7 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