Exact results and scaling properties of small-world networks
We study the distribution function for minimal paths in small-world networks. We derive its general form, which we verify numerically, and also discuss its scaling properties. Using the general form of this distribution function, we derive exact expressions for the average minimal distance and its v...
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| Published in: | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Vol. 61; no. 4 Pt B; pp. 4268 - 4271 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
United States
01-04-2000
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| Online Access: | Get full text |
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| Summary: | We study the distribution function for minimal paths in small-world networks. We derive its general form, which we verify numerically, and also discuss its scaling properties. Using the general form of this distribution function, we derive exact expressions for the average minimal distance and its variance sigma(2). Finally, we study the limit of large system sizes and obtain some approximate results. |
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| Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
| ISSN: | 1063-651X 1095-3787 |
| DOI: | 10.1103/PhysRevE.61.4268 |