Real time asymptotic packing
The electronic journal of combinatorics, The Wilf Festschrift volume, Tome 4 (1997) no. 2
A random greedy algorithm, somewhat modified, is analyzed by using a real time context and showing that the variables remain close to the solution of a natural differential equation. Given a $(k+1)$-uniform simple hypergraph on $N$ vertices, regular of degree $D$, the algorithm gives a packing of disjoint hyperedges containing all but $O(ND^{-1/k}\ln^cD)$ of the vertices.
DOI :
10.37236/1334
Classification :
05B40, 60D05, 05C65
Mots-clés : random greedy algorithm, differential equation, hypergraph, packing
Mots-clés : random greedy algorithm, differential equation, hypergraph, packing
@article{10_37236_1334,
author = {Joel Spencer},
title = {Real time asymptotic packing},
journal = {The electronic journal of combinatorics},
year = {1997},
volume = {4},
number = {2},
doi = {10.37236/1334},
zbl = {0884.05031},
url = {http://geodesic.mathdoc.fr/articles/10.37236/1334/}
}
Joel Spencer. Real time asymptotic packing. The electronic journal of combinatorics, The Wilf Festschrift volume, Tome 4 (1997) no. 2. doi: 10.37236/1334
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