A standard CLT for triangles in a class of ERGs
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915836209397760 |
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| author | Magnanini, Elena Passuello, Giacomo |
| author_facet | Magnanini, Elena Passuello, Giacomo |
| contents | We prove a standard Central Limit Theorem for the (normalized) number of triangles in a class of Exponential Random Graphs derived from a slight modification of the edge-triangle model. Our main theorem covers the whole analyticity region of the free energy, and is based on a polynomial representation of the partition function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_17484 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A standard CLT for triangles in a class of ERGs Magnanini, Elena Passuello, Giacomo Probability 60F05, 05C80 We prove a standard Central Limit Theorem for the (normalized) number of triangles in a class of Exponential Random Graphs derived from a slight modification of the edge-triangle model. Our main theorem covers the whole analyticity region of the free energy, and is based on a polynomial representation of the partition function. |
| title | A standard CLT for triangles in a class of ERGs |
| topic | Probability 60F05, 05C80 |
| url | https://arxiv.org/abs/2507.17484 |