dorsal/arxiv
View SchemaDetecting degree symmetries in networks
| Authors | Petter Holme |
|---|---|
| Categories | |
| ArXiv ID | physics/0605029 |
| URL | https://arxiv.org/abs/physics/0605029 |
| DOI | 10.1103/PhysRevE.74.036107 |
| Journal | Phys. Rev. E 74, 036107 (2006) |
Abstract
The surrounding of a vertex in a network can be more or less symmetric. We derive measures of a specific kind of symmetry of a vertex which we call degree symmetry -- the property that many paths going out from a vertex have overlapping degree sequences. These measures are evaluated on artificial and real networks. Specifically we consider vertices in the human metabolic network. We also measure the average degree-symmetry coefficient for different classes of real-world network. We find that most studied examples are weakly positively degree-symmetric. The exceptions are an airport network (having a negative degree-symmetry coefficient) and one-mode projections of social affiliation networks that are rather strongly degree-symmetric.
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"abstract": "The surrounding of a vertex in a network can be more or less symmetric. We\nderive measures of a specific kind of symmetry of a vertex which we call degree\nsymmetry -- the property that many paths going out from a vertex have\noverlapping degree sequences. These measures are evaluated on artificial and\nreal networks. Specifically we consider vertices in the human metabolic\nnetwork. We also measure the average degree-symmetry coefficient for different\nclasses of real-world network. We find that most studied examples are weakly\npositively degree-symmetric. The exceptions are an airport network (having a\nnegative degree-symmetry coefficient) and one-mode projections of social\naffiliation networks that are rather strongly degree-symmetric.",
"arxiv_id": "physics/0605029",
"authors": [
"Petter Holme"
],
"categories": [
"physics.data-an",
"physics.soc-ph"
],
"doi": "10.1103/PhysRevE.74.036107",
"journal_ref": "Phys. Rev. E 74, 036107 (2006)",
"title": "Detecting degree symmetries in networks",
"url": "https://arxiv.org/abs/physics/0605029"
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