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Unicyclic Components in Random Graphs

E. Ben-Naim·P. L. Krapivsky
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Abstract

The distribution of unicyclic components in a random graph is obtained analytically. The number of unicyclic components of a given size approaches a self-similar form in the vicinity of the gelation transition. At the gelation point, this distribution decays algebraically, U_k ~ 1/(4k) for k>>1. As a result, the total number of unicyclic components grows logarithmically with the system size.

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BibTeXRIS

E. Ben-Naim, P. L. Krapivsky. 2004-03-18. Unicyclic Components in Random Graphs. https://doi.org/10.1088/0305-4470%2F37%2F18%2Fl01

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