Spectral analysis of internet topologies

Proceedings - IEEE INFOCOM

Volumn 1, Issue , 2003, Pages 364-374

  Gkantsidis, Christos ^a   Mihail, Milena ^a   Zegura, Ellen ^a  

^a Georgia Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; SEMANTICS; SPECTRUM ANALYSIS; TELECOMMUNICATION TRAFFIC; TOPOLOGY; INTERNET;

INTERNET TOPOLOGY;

INTERNET; EIGENVALUES AND EIGENFUNCTIONS;

ADJACENCY MATRICES; DIRECT IMPACT; EIGEN-VALUE; GEOGRAPHIC AREAS; INTERNET TOPOLOGIES; LARGEST EIGENVALUES; LINK STRESS; NATURAL SEMANTICS; SPECTRAL FILTERING METHODS; SYNTHETIC DATA; TRAFFIC PATTERN;

EID: 0042475162     PISSN: 0743166X     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (41)

1. S. Agarwal, L. Subramanian, J. Rexford, and R. Katz. Characterizing the internet hierarchy from multiple vantage points web page. http://www.cs.berkeley.edu/ sagarwal/research/BGP-hierarchy/, July 2002.
2. William Aiello, Fan R. K. Chung, and Linyuan Lu. A random graph model for massive graphs. In ACM Symposium on Theory of Computing, pages 171-180, 2000.
3. Yossi Azar, Amos Fiat, Anna R. Karlin, Frank McSherry, and Jared Saia. Spectral analysis of data. ACM Symposium on Theory of Computing, pages 619-626, 2001.
4. Albert-László Barabasi and Réka Albert. Emergence of scaling in random networks. Science, 286:509-512, 1999.
5. Tian Bu and Don Towsley. On distinguishing between internet power law topology generators. Infocom 2002.
6. K. Calvert, M. Doar, and E. Zegura. Modeling internet topology. IEEE Communications Magazine, June 1997.
7. J.M. Carlson and J. Doyle. Highly optimized tolerance: A mechanism for powerlaws in design systems. Physics review E, 60(2), pages 1412-1427, 1999.
8. Chen Chang, Jamin Govindan, and Willinger Shenker. The origins of power-laws in internet topologies revisited. Infocom 2002.
9. Fan R.K. Chung. Spectral graph theory. American Mathematical Society Book Series, 1997.
10. A. Fabrikant, E. Koutsoupias, and C.H. Papadimitriou. Heuristically optimized tradeoffs: A new paradigm for powerlaws in the internet. ICALP 2002, 2002.
11. M. Faloutsos, P. Faloutsos, and C. Faloutsos. On power-law relationships of the internet topology. Proc. of ACM SIGCOMM, 1999.
12. I.J. Farkas, I. Derényi, A. Barabási, and T. Vicsek. Spectra of real-world graphs: Beyond the semi-circle law. e-print cond-mat/0102335, 2001.
13. National Laboratory for Applied Retwork Research. Route views archive. http://moat.nlanr.net/Routing/rawdata.
14. Cooperative Association for Internet Data Analysis. Caida. http://www.caida.org.
15. L. Gao. On inferring autonomous system relationships in the internet. IEEE Glogal Internet, 2000.
16. G.H. Golub and C. F. Van Loan. Matrix computations. Johns Hopkins University Press, 1989.
17. P. Husbands, H. Simon, and C. Ding. On the use of the singular value decomposition for text retrieval. 1st SIAM Computational Information Retrieval Workshop, 2000.
18. C. Jin, Q. Chen, and S. Jamin. Inet: Internet topology generator. (CSE-TR-433-00), 2000.
19. K.I. Kahng and D. Kim. Spectra and eigenvectors of scale-free networks. Physical Review E., Vol 64, 2001.
20. J. Kleinberg. Hubs, authorities, and communities on the www. ACM Computing Surveys, 31(4es):5, 1999.
21. Anukool Lakhina, John Byers, Mark Crovella, and Ibrahim Matta. On the geographical location of internet resources. Boston University, 2002.
22. L. Lovasz. Combinatorial problems and exercises. North Holland, Amsterdam, 1979.
23. A. Medina, I. Matta, and J. Byers. On the origin of power-laws in internet topologies. ACM Computer Communications Review, April 2000.
24. M. Mihail and C.H. Papadimitriou. On the eigenvalue power law. Random 2002, 2002.
25. Lawrence Page, Sergey Brin, Rajeev Motwani, and Terry Winograd. The pagerank citation ranking: Bringing order to the web. Stanford Digital Library Technologies Project, 1998.
26. C.H. Papadimitriou, P. Raghavan, H. Tamaki, and S. Vempala. Latent semantic indexing: A probabilistic analysis. Proc. Principles of Database Systems (PODS), 1999.
27. P. Radoslavov, H. Tangmunarunkit, H. Yu, R. Govindan, S. Shenker, and D. Estrin. On characterizing network topologies and analyzing their impact on protocol design. USC-CS-TR-00-731, http://citeseer.nj.nec.com/radoslavov00characterizing.html, March 2000.
28. P. Raghavan. Information retrieval algorithms: A survey. Proc. 8th SIAM Symposium on Discrete Algorithms (SODA), 1997.
29. A. Sinclair. Algorithms for random generation and counting: A markov chain approach. Springer-Verlag, 1997.
30. G.W. Stewart and J. Sun. Matrix perturbation theory. Academic Press, 1990.
31. L. Subramanian, S. Agarwal, J. Rexford, and R.H. Katz. Characterizing the internet hierarchy from multiple vantage points. In IEEE Infocom, June 2002.
32. H. Tangmunarunkit, R. Govindan, S. Jamin, S. Shenker, and W. Willinger. Network topology generators: Degree-based vs structural. Sigcomm 2002.
33. NetGeo tool. Netgeo tool, http://www.caida.org/tools/utilities/netgeo, 2002.
34. Traceroute.org. Public route server and looking glass site list. http://www.traceroute.org.
35. V.V. Vazirani. Approximation algorithms. Springer-Verlag, 2001.
36. Danica Vukadinovic, Polly Huang, and Thomas Erlebach. A spectral analysis of the internet topology. Dimacs Workshop on Internet and WWW Measurement, Mapping, and Modeling, citeseer.nj.nec.com/vukadinovic01spectral.html, 2001.
37. B.M. Waxman. Routing of multipoint connections. IEEE Jour. Selected Areas in Communications (Special Issue: Broadband Packet Communications), 6(9): 1617-1622, 1988.
38. J.H. Wilkinson. The algebraic eigenvalue problem. Oxford Science Publications, 1965.
39. Soon-Hyung Yook, Hawoong Jeong, and Albert-Laszlo Barabasi. Modeling the internet's large-scale topology. http://arxiv.org/abs/cond-mat/0107417, 2002.
40. E. Zegura, K. Calvert, and S. Bhattacharjee. How to model an internetwork. In Proceedings of IEEE INFOCOM, 1996.
41. E. Zegura, K. Calvert, and M. Donahoo. A quantitative comparison of graph-based models for Internet topology. Transactions on Networking, Vol 5, No 6, pages 770-783, 1997.