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Journal article

Susceptibility in inhomogeneous random graphs

Abstract:
We study the susceptibility, i.e., the mean size of the component containing a random vertex, in a general model of inhomogeneous random graphs. This is one of the fundamental quantities associated to (percolation) phase transitions; in practice one of its main uses is that it often gives a way of determining the critical point by solving certain linear equations. Here we relate the susceptibility of suitable random graphs to a quantity associated to the corresponding branching process, and study both quantities in various natural examples.
Publication status:
Published

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Journal:
Electronic J. Combinatorics 19 (2012), P31 (59 pages) More from this journal
Volume:
19
Issue:
1
Pages:
P31-P31
Publication date:
2009-05-04
EISSN:
1077-8926
ISSN:
1077-8926
Language:
English
Keywords:
Pubs id:
pubs:146833
UUID:
uuid:d00b4968-51eb-4ace-ab1f-79cf944d80b6
Local pid:
pubs:146833
Source identifiers:
146833
Deposit date:
2012-12-19

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