Bibliographic Details
| Title: |
Phase transitions in a power-law uniform hypergraph. |
| Authors: |
Yuan, Mingao1 (AUTHOR) mingao.yuan@ndsu.edu |
| Superior Title: |
Communications in Statistics: Theory & Methods. 2024, Vol. 53 Issue 4, p1257-1276. 20p. |
| Subject Terms: |
*PROBABILITY theory, HYPERGRAPHS, PHASE transitions, EXPONENTS |
| Abstract: |
We propose a power-law m-uniform random hypergraph on n vertices. In this hypergraph, each vertex is independently assigned a random weight from a power-law distribution with exponent α ∈ (0 , ∞). The hyperedge probabilities are defined as functions of the random weights. We characterize the number of hyperedges and the number of loose 2-cycles. There is a phase transition phenomenon for the number of hyperedges at α = 1. Interestingly, for the number of loose 2-cycles, phase transitions occur at both α = 1 and α = 2. [ABSTRACT FROM AUTHOR] |
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| Database: |
Business Source Premier |
