Boguñá, M., Papadopoulos, F., & Krioukov, D. (2010). Sustaining the Internet with hyperbolic mapping. Nature Communications, 1(6), 1–8. doi:10.1038/ncomms1063
Krioukov, D. (2016). Clustering Implies Geometry in Networks. Physical Review Letters, 116(20), 208302. doi:10.1103/PhysRevLett.116.208302
Krioukov, D., Kitsak, M., Sinkovits, R. S., Rideout, D., Meyer, D., & Boguñá, M. (2012). Network Cosmology. Scientific Reports, 2, 793. doi:10.1038/srep00793
Krioukov, D., Papadopoulos, F., Kitsak, M., Vahdat, A., & Boguñá, M. (2010). Hyperbolic geometry of complex networks. Physical Review E, 82(3), 036106. doi:10.1103/PhysRevE.82.036106
Papadopoulos, F., Kitsak, M., Serrano, M. Á., Boguñá, M., & Krioukov, D. (2012). Popularity versus similarity in growing networks. Nature, 489(7417), 537–540. doi:10.1038/nature11459
Ungar, A. A. (2013). Hyperbolic geometry. Journal of Geometry and Symmetry in Physics, 32, 61–86. doi:10.7546/jgsp-32-2013-61-86
Tenenbaum, J. B. (2000). A Global Geometric Framework for Nonlinear Dimensionality Reduction. Science, 290(5500), 2319–2323. doi:10.1126/science.290.5500.2319
一个比较好的初始文章是 Papadopoulos 这篇:
Papadopoulos, F., Kitsak, M., Serrano, M. Á., Boguñá, M., & Krioukov, D. (2012). Popularity versus similarity in growing networks. Nature, 489(7417), 537–540. doi:10.1038/nature11459
我的提议是阅读一下关于复杂网络放在 hyperbolic space 上面的文章:
一个比较好的初始文章是 Papadopoulos 这篇:
Papadopoulos, F., Kitsak, M., Serrano, M. Á., Boguñá, M., & Krioukov, D. (2012). Popularity versus similarity in growing networks. Nature, 489(7417), 537–540. doi:10.1038/nature11459
算是一个比较好的总结吧。
所有提到的论文在这里
A Global Geometric Frameworkfor Nonlinear Dimensionality Reduction.pdf Clustering Implies Geometry in Networks.pdf Network Cosmology.pdf Popularity versus similarity in growing networks_SI.pdf Popularity versus similarity in growing networks.pdf Sustaining the Internet with hyperbolic mapping.pdf