On the geographic location of internet resources

One relatively unexplored question about the Internet’s physical structure concerns the geographical location of its components: routers, links and autonomous systems (ASes). We study this question using two large inventories of Internet routers and links, collected by different methods and about two years apart. We first map each router to its geographical location using two different stateof-the-art tools. We then study the relationship between router location and population density; between geographic distance and link density; and between the size and geographic extent of ASes. Our findings are consistent across the two datasets and both mapping methods. First, as expected, router density per person varies widely over different economic regions; however, in economically homogeneous regions, router density shows a strong superlinear relationship to population density. Second, the probability that two routers are directly connected is strongly dependent on distance; our data is consistent with a model in which a majority (up to 7595%) of link formation is based on geographical distance (as in the Waxman topology generation method). Finally, we find that ASes show high variability in geographic size, which is correlated with other measures of AS size (degree and number of interfaces). Among small to medium ASes, ASes show wide variability in their geographic dispersal; however, all ASes exceeding a certain threshold in size are maximally dispersed geographically. These findings have many implications for the next generation of topology generators, which we envisage as producing router-level graphs annotated with attributes such as link latencies, AS identifiers and geographical locations.

[1]  Jean-Jacques Pansiot,et al.  On routes and multicast trees in the Internet , 1998, CCRV.

[2]  Ramesh Govindan,et al.  Heuristics for Internet map discovery , 2000, Proceedings IEEE INFOCOM 2000. Conference on Computer Communications. Nineteenth Annual Joint Conference of the IEEE Computer and Communications Societies (Cat. No.00CH37064).

[3]  BERNARD M. WAXMAN,et al.  Routing of multipoint connections , 1988, IEEE J. Sel. Areas Commun..

[4]  Donald F. Towsley,et al.  On distinguishing between Internet power law topology generators , 2002, Proceedings.Twenty-First Annual Joint Conference of the IEEE Computer and Communications Societies.

[5]  Zehdreh Allen-Lafayette,et al.  Flattening the Earth, Two Thousand Years of Map Projections , 1998 .

[6]  FaloutsosMichalis,et al.  On power-law relationships of the Internet topology , 1999 .

[7]  S. Krantz Fractal geometry , 1989 .

[8]  Damien Magoni,et al.  Analysis and Comparison of Internet Topology Generators , 2002, NETWORKING.

[9]  Azer Bestavros,et al.  On the marginal utility of network topology measurements , 2001, IMW '01.

[10]  Sugih Jamin,et al.  Inet: Internet Topology Generator , 2000 .

[11]  Marc Snir,et al.  The Performance of Multistage Interconnection Networks for Multiprocessors , 1983, IEEE Transactions on Computers.

[12]  Walter Willinger,et al.  The origin of power laws in Internet topologies revisited , 2002, Proceedings.Twenty-First Annual Joint Conference of the IEEE Computer and Communications Societies.

[13]  Damien Magoni,et al.  Comparative Study of Internet-like Topology Generators , 2001 .

[14]  PansiotJean-Jacques,et al.  On routes and multicast trees in the Internet , 1998 .

[15]  Ken Harrenstien,et al.  Nicname/whois , 1982, RFC.

[16]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[17]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[18]  Ian Dickinson,et al.  A Means for Expressing Location Information in the Domain Name System , 1996, RFC.

[19]  Ibrahim Matta,et al.  On the geographic location of Internet resources , 2003, IEEE J. Sel. Areas Commun..

[20]  Deborah Estrin,et al.  The impact of routing policy on Internet paths , 2001, Proceedings IEEE INFOCOM 2001. Conference on Computer Communications. Twentieth Annual Joint Conference of the IEEE Computer and Communications Society (Cat. No.01CH37213).

[21]  Walter Willinger,et al.  Inferring AS-level Internet topology from router-level path traces , 2001, SPIE ITCom.

[22]  Thomas G. Robertazzi,et al.  The Performance of Multistage Interconnection Networks for Multiprocessors , 1993 .

[23]  Michalis Faloutsos,et al.  On power-law relationships of the Internet topology , 1999, SIGCOMM '99.

[24]  J. Snyder Flattening the Earth: Two Thousand Years of Map Projections , 1994 .

[25]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[26]  Walter Willinger,et al.  Does AS size determine degree in as topology? , 2001, CCRV.

[27]  Peter G. Harrison Analytic Models for Multistage Interconnection Networks , 1991, J. Parallel Distributed Comput..

[28]  Matthew Doar,et al.  A better model for generating test networks , 1996, Proceedings of GLOBECOM'96. 1996 IEEE Global Telecommunications Conference.

[29]  A. Rbnyi ON THE EVOLUTION OF RANDOM GRAPHS , 2001 .

[30]  Hawoong Jeong,et al.  Modeling the Internet's large-scale topology , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[31]  Christopher R. Palmer,et al.  Generating network topologies that obey power laws , 2000, Globecom '00 - IEEE. Global Telecommunications Conference. Conference Record (Cat. No.00CH37137).

[32]  Ibrahim Matta,et al.  BRITE: an approach to universal topology generation , 2001, MASCOTS 2001, Proceedings Ninth International Symposium on Modeling, Analysis and Simulation of Computer and Telecommunication Systems.

[33]  P. Erdos,et al.  On the evolution of random graphs , 1984 .

[34]  Lakshminarayanan Subramanian,et al.  An investigation of geographic mapping techniques for internet hosts , 2001, SIGCOMM.