Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 42, Issue 7, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/42/7/075005
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Funding
- Ministry of Education, Science, Sports and Culture of Japan [19540394]
- Hayashi memorial foundation
- Grants-in-Aid for Scientific Research [19540394] Funding Source: KAKEN
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We study the edge-deletion process of random graphs near a k-core percolation point. We find that the time-dependent number of edges in the process exhibits critically divergent fluctuations. We first show theoretically that the k-core percolation point is exactly given as the saddle-node bifurcation point in a dynamical system. We then determine all the exponents for the divergence based on a universal description of fluctuations near the saddle node bifurcation.
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