Critical subgraphs of a random graph
The electronic journal of combinatorics, Tome 6 (1999)
We prove that the threshold for a random graph to have a $k$-core is equal to the threshold for having a subgraph which meets a necessary condition of Gallai for being $k$-critical.
DOI :
10.37236/1467
Classification :
05C80, 05C15
Mots-clés : critical subgraphs, random graph, chromatic number
Mots-clés : critical subgraphs, random graph, chromatic number
@article{10_37236_1467,
author = {Michael Molloy and Bruce Reed},
title = {Critical subgraphs of a random graph},
journal = {The electronic journal of combinatorics},
year = {1999},
volume = {6},
doi = {10.37236/1467},
zbl = {0943.05074},
url = {http://geodesic.mathdoc.fr/articles/10.37236/1467/}
}
Michael Molloy; Bruce Reed. Critical subgraphs of a random graph. The electronic journal of combinatorics, Tome 6 (1999). doi: 10.37236/1467
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