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» The Diameter of Sparse Random Graphs
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RSA
2006
88views more  RSA 2006»
13 years 7 months ago
Randomly coloring sparse random graphs with fewer colors than the maximum degree
We analyze Markov chains for generating a random k-coloring of a random graph Gn,d/n. When the average degree d is constant, a random graph has maximum degree (log n/ log log n), ...
Martin E. Dyer, Abraham D. Flaxman, Alan M. Frieze...
ICPP
1999
IEEE
13 years 11 months ago
The Index-Permutation Graph Model for Hierarchical Interconnection Networks
In this paper, we present the index-permutation (IP) graph model, and apply it to the systematic development of efficient hierarchical networks. We derive several classes of inter...
Chi-Hsiang Yeh, Behrooz Parhami
CORR
2012
Springer
173views Education» more  CORR 2012»
12 years 3 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
COMBINATORICS
2000
88views more  COMBINATORICS 2000»
13 years 7 months ago
Note on Sparse Random Graphs and Cover Graphs
It is shown in this note that with high probability it is enough to destroy all triangles in order to get a cover graph from a random graph Gn,p with p log n/n for any constant ...
Tom Bohman, Alan M. Frieze, Miklós Ruszink&...
APPROX
2007
Springer
100views Algorithms» more  APPROX 2007»
14 years 1 months ago
Implementing Huge Sparse Random Graphs
Consider a scenario where one desires to simulate the execution of some graph algorithm on random input graphs of huge, perhaps even exponential size. Sampling and storing these h...
Moni Naor, Asaf Nussboim