Metric structure of random networks
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Publication:1860844
DOI10.1016/S0550-3213(02)01119-7zbMath1010.05073arXivcond-mat/0210085OpenAlexW3103952223WikidataQ59280484 ScholiaQ59280484MaRDI QIDQ1860844
J. F. F. Mendes, S. N. Dorogovtsev, A. N. Samukhin
Publication date: 26 February 2003
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/cond-mat/0210085
Random graphs (graph-theoretic aspects) (05C80) Paths and cycles (05C38) Planar graphs; geometric and topological aspects of graph theory (05C10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Condensation in the Backgammon model
- The asymptotic connectivity of labelled regular graphs
- A probabilistic proof of an asymptotic formula for the number of labelled regular graphs
- The asymptotic number of labeled graphs with given degree sequences
- Appearance of mother universe and singular vertices in random geometries
- Scaling in four-dimensional quantum gravity
- Statistical mechanics of complex networks
- The Size of the Giant Component of a Random Graph with a Given Degree Sequence
- A critical point for random graphs with a given degree sequence
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