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» Packing vertices and edges in random regular graphs
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COMBINATORICS
1999
93views more  COMBINATORICS 1999»
13 years 7 months ago
Induced Complete h-partite Graphs in Dense Clique-less Graphs
It is proven that for every fixed h, a and b, a graph with n vertices and minimum degree at least h-1 h n, which contains no copy of Kb (the complete graph with b vertices), conta...
Eldar Fischer
CPC
2006
116views more  CPC 2006»
13 years 7 months ago
Finding Large Independent Sets in Polynomial Expected Time
We consider instances of the maximum independent set problem that are constructed according to the following semirandom model. Let Gn,p be a random graph, and let S be a set consis...
Amin Coja-Oghlan
IEICET
2010
124views more  IEICET 2010»
13 years 5 months ago
A Deterministic Approximation Algorithm for Maximum 2-Path Packing
This paper deals with the maximum-weight 2-path packing problem (M2PP), which is the problem of computing a set of vertex-disjoint paths of length 2 in a given edge-weighted compl...
Ruka Tanahashi, Zhi-Zhong Chen
ALGORITHMICA
2010
147views more  ALGORITHMICA 2010»
13 years 7 months ago
Note on the Structure of Kruskal's Algorithm
We study the merging process when Kruskal's algorithm is run with random graphs as inputs. Our aim is to analyze this process when the underlying graph is the complete graph ...
Nicolas Broutin, Luc Devroye, Erin McLeish
SODA
2008
ACM
105views Algorithms» more  SODA 2008»
13 years 9 months ago
Deterministic random walks on regular trees
Jim Propp's rotor router model is a deterministic analogue of a random walk on a graph. Instead of distributing chips randomly, each vertex serves its neighbors in a fixed or...
Joshua N. Cooper, Benjamin Doerr, Tobias Friedrich...