dorsal/arxiv
View SchemaDegree Landscapes in Scale-Free Networks
| Authors | Jacob Bock Axelsen, Sebastian Bernhardsson, Martin Rosvall, Kim Sneppen, Ala Trusina |
|---|---|
| Categories | |
| ArXiv ID | physics/0512075 |
| URL | https://arxiv.org/abs/physics/0512075 |
| DOI | 10.1103/PhysRevE.74.036119 |
| Journal | Phys. Rev. E 74, 036119 (2006) |
Abstract
We generalize the degree-organizational view of real-world networks with broad degree-distributions in a landscape analogue with mountains (high-degree nodes) and valleys (low-degree nodes). For example, correlated degrees between adjacent nodes corresponds to smooth landscapes (social networks), hierarchical networks to one-mountain landscapes (the Internet), and degree-disassortative networks without hierarchical features to rough landscapes with several mountains. We also generate ridge landscapes to model networks organized under constraints imposed by the space the networks are embedded in, associated to spatial or, in molecular networks, to functional localization. To quantify the topology, we here measure the widths of the mountains and the separation between different mountains.
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"abstract": "We generalize the degree-organizational view of real-world networks with\nbroad degree-distributions in a landscape analogue with mountains (high-degree\nnodes) and valleys (low-degree nodes). For example, correlated degrees between\nadjacent nodes corresponds to smooth landscapes (social networks), hierarchical\nnetworks to one-mountain landscapes (the Internet), and degree-disassortative\nnetworks without hierarchical features to rough landscapes with several\nmountains. We also generate ridge landscapes to model networks organized under\nconstraints imposed by the space the networks are embedded in, associated to\nspatial or, in molecular networks, to functional localization. To quantify the\ntopology, we here measure the widths of the mountains and the separation\nbetween different mountains.",
"arxiv_id": "physics/0512075",
"authors": [
"Jacob Bock Axelsen",
"Sebastian Bernhardsson",
"Martin Rosvall",
"Kim Sneppen",
"Ala Trusina"
],
"categories": [
"physics.soc-ph",
"cond-mat.soft"
],
"doi": "10.1103/PhysRevE.74.036119",
"journal_ref": "Phys. Rev. E 74, 036119 (2006)",
"title": "Degree Landscapes in Scale-Free Networks",
"url": "https://arxiv.org/abs/physics/0512075"
},
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