dorsal/arxiv
View SchemaDistance-dependent connectivity: Yet Another Approach to the Small World Phenomenon
| Authors | Matus Medo |
|---|---|
| Categories | |
| ArXiv ID | physics/0503148 |
| URL | https://arxiv.org/abs/physics/0503148 |
| DOI | 10.1016/j.physa.2005.06.038 |
| Journal | Physica A, 360/2, 617-628 (2006) |
Abstract
We investigate a relationship network of humans located in a metric space where relationships are drawn according to a distance-dependent probability density. The obtained spatial graph allows us to calculate the average separation of people in a very simple manner. The acquired results agree with the well-known presence of the small-world phenomenon in human relationships. They indicate that this feature can be understood merely as a consequence of the probability composition. We also examine how this phenomenon evolves with the development of human society.
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"abstract": "We investigate a relationship network of humans located in a metric space\nwhere relationships are drawn according to a distance-dependent probability\ndensity. The obtained spatial graph allows us to calculate the average\nseparation of people in a very simple manner. The acquired results agree with\nthe well-known presence of the small-world phenomenon in human relationships.\nThey indicate that this feature can be understood merely as a consequence of\nthe probability composition. We also examine how this phenomenon evolves with\nthe development of human society.",
"arxiv_id": "physics/0503148",
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"doi": "10.1016/j.physa.2005.06.038",
"journal_ref": "Physica A, 360/2, 617-628 (2006)",
"title": "Distance-dependent connectivity: Yet Another Approach to the Small World Phenomenon",
"url": "https://arxiv.org/abs/physics/0503148"
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