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Unicyclic Components in Random Graphs | E. Ben-Naim
; P.L. Krapivsky
; | Date: |
18 Mar 2004 | Journal: | J. Phys. A 37, L189 (2004) DOI: 10.1088/0305-4470/37/18/L01 | Subject: | Statistical Mechanics; Disordered Systems and Neural Networks; Probability; Data Structures and Algorithms | cond-mat.stat-mech cond-mat.dis-nn cs.DS math.PR | 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. | Source: | arXiv, cond-mat/0403453 | Services: | Forum | Review | PDF | Favorites |
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