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» On Touching Triangle Graphs
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SIAMDM
2008
79views more  SIAMDM 2008»
14 years 9 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...
TCS
2008
14 years 9 months ago
Main-memory triangle computations for very large (sparse (power-law)) graphs
Finding, counting and/or listing triangles (three vertices with three edges) in massive graphs are natural fundamental problems, which received recently much attention because of ...
Matthieu Latapy
CPC
2011
199views Education» more  CPC 2011»
14 years 4 months ago
Sub-Gaussian Tails for the Number of Triangles in G( n, p)
Let X be the random variable that counts the number of triangles in the binomial random graph G(n, p). We show that for some positive constant c, the probability that X deviates f...
Guy Wolfovitz
ESA
2004
Springer
137views Algorithms» more  ESA 2004»
15 years 2 months ago
Fast 3-Coloring Triangle-Free Planar Graphs
We show the first o(n2 ) algorithm for coloring vertices of trianglefree planar graphs using three colors. The time complexity of the algorithm is O(n log n). Our approach can be ...
Lukasz Kowalik
87
Voted
DM
2010
140views more  DM 2010»
14 years 9 months ago
Online Ramsey games for triangles in random graphs
In the online F-avoidance edge-coloring game with r colors, a graph on n vertices is generated by at each stage randomly adding a new edge. The player must color each new edge as ...
József Balogh, Jane Butterfield