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Motter, A. E., de Moura, A. P. S., Lai, Y-C., and Dasgupta, P. (2002) Topology of the conceptual network of language. Physical Review E, 65:065102.

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[5] S.H. Strogatz, Nature (London) 410, 268 (2001); R. Albert and A.-L. Barab´asi, Rev. Mod. Phys. 74, 47 (2002).

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[6] There are recent papers concerning the network aspect of language. For instance, there are networks defined by the co-occurrence of words within sentences [R.F.I. Cancho and R.V. Sole, Proc. Royal Soc. London B 268, 2261 (2001); S.N. Dorogovtsev and J.F.F. Mendes, Proc. Royal Soc. London B 268, 2603 (2001)] and the network of nouns [M. Sigman and G.A. Cecchi, Proc. Natl. Acad. Sci. U.S.A. 99, 1742 (2002)]. These networks are different from the conceptual network that we have conceived and studied.

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[10] This model can be better motivated in the context of social networks. In a friendship network, when a new person is introduced into the group, he or she has uniform probability to make a first friend. The probability of making new friends, however, will depend on this first connection, since a person is more likely to be introduced to the friends of his or her friends than to any other person.

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[11] R. Albert, H. Jeong, and A.-L. Barab´asi, Nature (London) 406, 378 (2000).

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[12] T. Nishikawa, A.E. Motter, Y.-C. Lai, and F. Hoppensteadt, "The smallest small-world network," preprint (2001).

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