Taylor’s power law for the <italic>N</italic>-stars network evolution model
Taylor’s power law states that the variance function decays as a power law. It is observed for population densities of species in ecology. For random networks another power law, that is, the power law degree distribution is widely studied. In this paper the original Taylor’s power law is considered...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
VTeX
2019-09-01
|
| Series: | Modern Stochastics: Theory and Applications |
| Subjects: | |
| Online Access: | https://www.vmsta.org/doi/10.15559/19-VMSTA137 |
| _version_ | 1819090297046433792 |
|---|---|
| author | István Fazekas Csaba Noszály Noémi Uzonyi |
| author_facet | István Fazekas Csaba Noszály Noémi Uzonyi |
| author_sort | István Fazekas |
| collection | DOAJ |
| description | Taylor’s power law states that the variance function decays as a power law. It is observed for population densities of species in ecology. For random networks another power law, that is, the power law degree distribution is widely studied. In this paper the original Taylor’s power law is considered for random networks. A precise mathematical proof is presented that Taylor’s power law is asymptotically true for the N-stars network evolution model. |
| first_indexed | 2024-12-21T22:21:35Z |
| format | Article |
| id | doaj.art-6359deadbe904beeb538dd4557817aea |
| institution | Directory Open Access Journal |
| issn | 2351-6046 2351-6054 |
| language | English |
| last_indexed | 2024-12-21T22:21:35Z |
| publishDate | 2019-09-01 |
| publisher | VTeX |
| record_format | Article |
| series | Modern Stochastics: Theory and Applications |
| spelling | doaj.art-6359deadbe904beeb538dd4557817aea2022-12-21T18:48:19ZengVTeXModern Stochastics: Theory and Applications2351-60462351-60542019-09-016331133110.15559/19-VMSTA137Taylor’s power law for the <italic>N</italic>-stars network evolution modelIstván Fazekas0Csaba Noszály1Noémi Uzonyi2Faculty of Informatics, University of Debrecen, P.O. Box 12, 4010 Debrecen, HungaryFaculty of Informatics, University of Debrecen, P.O. Box 12, 4010 Debrecen, HungaryFaculty of Informatics, University of Debrecen, P.O. Box 12, 4010 Debrecen, HungaryTaylor’s power law states that the variance function decays as a power law. It is observed for population densities of species in ecology. For random networks another power law, that is, the power law degree distribution is widely studied. In this paper the original Taylor’s power law is considered for random networks. A precise mathematical proof is presented that Taylor’s power law is asymptotically true for the N-stars network evolution model.https://www.vmsta.org/doi/10.15559/19-VMSTA137Taylor’s power lawrandom graphpreferential attachmentscale freegamma function |
| spellingShingle | István Fazekas Csaba Noszály Noémi Uzonyi Taylor’s power law for the <italic>N</italic>-stars network evolution model Modern Stochastics: Theory and Applications Taylor’s power law random graph preferential attachment scale free gamma function |
| title | Taylor’s power law for the <italic>N</italic>-stars network evolution model |
| title_full | Taylor’s power law for the <italic>N</italic>-stars network evolution model |
| title_fullStr | Taylor’s power law for the <italic>N</italic>-stars network evolution model |
| title_full_unstemmed | Taylor’s power law for the <italic>N</italic>-stars network evolution model |
| title_short | Taylor’s power law for the <italic>N</italic>-stars network evolution model |
| title_sort | taylor s power law for the italic n italic stars network evolution model |
| topic | Taylor’s power law random graph preferential attachment scale free gamma function |
| url | https://www.vmsta.org/doi/10.15559/19-VMSTA137 |
| work_keys_str_mv | AT istvanfazekas taylorspowerlawfortheitalicnitalicstarsnetworkevolutionmodel AT csabanoszaly taylorspowerlawfortheitalicnitalicstarsnetworkevolutionmodel AT noemiuzonyi taylorspowerlawfortheitalicnitalicstarsnetworkevolutionmodel |