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World-Wide Airports

Airports was obtained from the International Air Transportation Association (IATA). Each node represents an airport and each edge is a regular flight between two airports. Colors are assigned according to the coreness: vertices with coreness 1 are violet, and the maximum coreness vertices are red, following the rainbow color scale. The node degree scale is also displayed, showing the maximum degree of the network.

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Autonomous System

AS is the autonomous system level of Internet network. Each node represents an autonomous system and each edge is a connection between two AS. The information was obtained by collected routes of Oregon route-views project. Colors are assigned according to the coreness: vertices with coreness 1 are violet, and the maximum coreness vertices are red, following the rainbow color scale. The node degree scale is also displayed, showing the maximum degree of the network.

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Autonomous System+

AS+ is the autonomous system level of Internet network. Each node represents an autonomous system and each edge is a connection between two AS. The information was obtained by collected routes of Oregon route-views project, and enriched with a large quantity of links, and obtained using informations from peering relationships of the autonomous systems, is presented in Chen et al. 2002. Colors are assigned according to the coreness: vertices with coreness 1 are violet, and the maximum coreness vertices are red, following the rainbow color scale. The node degree scale is also displayed, showing the maximum degree of the network.

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Autonomous System DIMES

AS is the autonomous system level of Internet network. Each node represents an autonomous system and each edge is a connection between two AS. This network was kindly provided by the Dimes project. Colors are assigned according to the coreness: vertices with coreness 1 are violet, and the maximum coreness vertices are red, following the rainbow color scale. The node degree scale is also displayed, showing the maximum degree of the network.

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Scientific collaborations

CondMat: this network considers scientists who have authored manuscripts submitted to the e-print archive relative to condensed matter physics between 1995 and 1998. Scientists are identified with nodes and an edge exists between two scientists if they have co-authored at least one paper. This data was provided by Mark Newman, University of Michigan. Colors are assigned according to the coreness: vertices with coreness 1 are violet, and the maximum coreness vertices are red, following the rainbow color scale. The node degree scale is also displayed, showing the maximum degree of the network.

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Internet routers

IR is the router level of Internet network. Each node represents a router and each edge is a link between two routers. The data corresponds to the paper of Govindan and Tangmunarunkit, Infocom 2000. Colors are assigned according to the coreness: vertices with coreness 1 are violet, and the maximum coreness vertices are red, following the rainbow color scale. The node degree scale is also displayed, showing the maximum degree of the network.

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Internet routers CAIDA

IR_CAIDA is a router level map of Internet network. Each node represents a router and each edge is a link between two routers. The data corresponds to an exploration done at CAIDA organization. Colors are assigned according to the coreness: vertices with coreness 1 are violet, and the maximum coreness vertices are red, following the rainbow color scale. The node degree scale is also displayed, showing the maximum degree of the network.

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World Wide Web

WWW is a portion of the web at .fr domain, with 1 million of pages. Each node represents a web page and each edge is an hyperlink between two pages. The data was provided by Fabien Mathieu, LIRMM at Montpellier, France. Colors are assigned according to the coreness: vertices with coreness 1 are violet, and the maximum coreness vertices are red, following the rainbow color scale. The node degree scale is also displayed, showing the maximum degree of the network.

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Barabasi Albert

BA corresponds to the Barabási-Albert model. considers growing networks according to the preferential attachment mechanism: each new node is connected to m already existing nodes chosen with a probability proportional to their starting degree. This network has 10000 nodes and m=2. Colors are assigned according to the coreness: vertices with coreness 1 are violet, and the maximum coreness vertices are red, following the rainbow color scale. The node degree scale is also displayed, showing the maximum degree of the network.

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Barabasi Albert RND

RBA corresponds to the Barab´si-Albert model. considers growing networks according to the preferential attachment mechanism: each new node is connected to m already existing nodes chosen with a probability proportional to their starting degree. This network has 1000 nodes and varying m randomly between 1 and 10 (at each time step). Colors are assigned according to the coreness: vertices with coreness 1 are violet, and the maximum coreness vertices are red, following the rainbow color scale. The node degree scale is also displayed, showing the maximum degree of the network.

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Extended FKP

Extended_FKP is an extension of the work of Fabrikant, Koutsoupias and Papadimitriou, Heuristically Optimized Trade-Offs: A New Paradigm for Power Laws in the Internet model. This model of a growing network embedded in a two-dimensional space is essentially based on a competition between distances in the Euclidean space and on the graph: a new node is connected to already existing nodes in a way to optimize a combination of its distance on the graph to a predefined "center" and the Euclidean length of the connections. We consider a network constructed along the lines of Alvarez-Hamelin and Scahbanel 2004, which has a scale-free distribution of connectivities P(k)~k^(-a) with exponent a=2.4. Colors are assigned according to the coreness: vertices with coreness 1 are violet, and the maximum coreness vertices are red, following the rainbow color scale. The node degree scale is also displayed, showing the maximum degree of the network.

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Random graph

Random graph corresponds to the Erdös-Rényi model, with 1000 nodes and an average degree equal to 10. In this model, an edge between two nodes has a probability of 0.01. Colors are assigned according to the coreness: vertices with coreness 1 are violet, and the maximum coreness vertices are red, following the rainbow color scale. The node degree scale is also displayed, showing the maximum degree of the network.

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