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SIAMDM
2008
79views more  SIAMDM 2008»
13 years 5 months ago
Testing Triangle-Freeness in General Graphs
In this paper we consider the problem of testing whether a graph is triangle-free, and more generally, whether it is H-free, for a fixed subgraph H. The algorithm should accept gr...
Noga Alon, Tali Kaufman, Michael Krivelevich, Dana...
SODA
2008
ACM
112views Algorithms» more  SODA 2008»
13 years 6 months ago
The effect of induced subgraphs on quasi-randomness
One of the main questions that arise when studying random and quasi-random structures is which properties P are such that any object that satisfies P "behaves" like a tr...
Asaf Shapira, Raphael Yuster
COMBINATORICA
2008
87views more  COMBINATORICA 2008»
13 years 5 months ago
Quasi-randomness and the distribution of copies of a fixed graph
We show that if a graph G has the property that all subsets of vertices of size n/4 contain the "correct" number of triangles one would expect to find in a random graph ...
Asaf Shapira
RSA
2008
85views more  RSA 2008»
13 years 4 months ago
Quasi-random graphs with given degree sequences
It is now known that many properties of the objects in certain combinatorial structures are equivalent, in the sense that any object possessing any of the properties must of neces...
Fan Chung Graham, Ronald L. Graham
ENDM
2006
70views more  ENDM 2006»
13 years 5 months ago
Quasirandomness in Graphs
Jim Propp's rotor router model is a simple deterministic analogue of a random walk. Instead of distributing chips randomly, it serves the neighbors in a fixed order. We analy...
Benjamin Doerr, Tobias Friedrich