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» The metamathematics of random graphs
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DCG
2011
14 years 4 months ago
Random Geometric Complexes
We study the expected topological properties of ˇCech and Vietoris-Rips complexes built on random points in Rd . We find higher dimensional analogues of known results for connect...
Matthew Kahle
MST
2010
98views more  MST 2010»
14 years 8 months ago
Why Almost All k-Colorable Graphs Are Easy to Color
Coloring a k-colorable graph using k colors (k ≥ 3) is a notoriously hard problem. Considering average case analysis allows for better results. In this work we consider the unif...
Amin Coja-Oghlan, Michael Krivelevich, Dan Vilench...
CORR
2012
Springer
173views Education» more  CORR 2012»
13 years 5 months ago
A new approach to the orientation of random hypergraphs
A h-uniform hypergraph H = (V, E) is called ( , k)-orientable if there exists an assignment of each hyperedge e ∈ E to exactly of its vertices v ∈ e such that no vertex is ass...
Marc Lelarge
RSA
2006
98views more  RSA 2006»
14 years 9 months ago
Levels of a scale-free tree
Consider the random graph model of Barab
Zsolt Katona
DIALM
2008
ACM
179views Algorithms» more  DIALM 2008»
14 years 11 months ago
Distance graphs: from random geometric graphs to Bernoulli graphs and between
A random geometric graph G(n, r) is a graph resulting from placing n points uniformly at random on the unit area disk, and connecting two points iff their Euclidean distance is at ...
Chen Avin