Preferential attachment with partial information

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Abstract

We propose a preferential attachment model for network growth where new entering nodes have a partial information about the state of the network. Our main result is that the presence of bounded information modifies the degree distribution by introducing an exponential tail, while it preserves a
power law behaviour over a finite small range of degrees. On the other hand, unbounded information is sufficient to let the network grow as in the standard Barabási-Albert model. Surprisingly, the latter feature holds true also when the fraction of known nodes goes asymptotically to zero. Analytical
results are compared to direct simulations.
Original languageEnglish
PublisherNamur center for complex systems
Number of pages6
Volume9
Edition14
Publication statusPublished - 4 Sep 2014

Publication series

NamenaXys Technical Report Series
PublisherUniversity of Namur
No.14
Volume9

Keywords

  • complex networks
  • preferential attachment
  • statistical mechanics

Cite this

Carletti, T., Gargiulo, F., & Lambiotte, R. (2014). Preferential attachment with partial information. (14 ed.) (naXys Technical Report Series; Vol. 9, No. 14). Namur center for complex systems.
Carletti, Timoteo ; Gargiulo, Floriana ; Lambiotte, Renaud. / Preferential attachment with partial information. 14 ed. Namur center for complex systems, 2014. 6 p. (naXys Technical Report Series; 14).
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abstract = "We propose a preferential attachment model for network growth where new entering nodes have a partial information about the state of the network. Our main result is that the presence of bounded information modifies the degree distribution by introducing an exponential tail, while it preserves apower law behaviour over a finite small range of degrees. On the other hand, unbounded information is sufficient to let the network grow as in the standard Barab{\'a}si-Albert model. Surprisingly, the latter feature holds true also when the fraction of known nodes goes asymptotically to zero. Analyticalresults are compared to direct simulations.",
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Carletti, T, Gargiulo, F & Lambiotte, R 2014, Preferential attachment with partial information. naXys Technical Report Series, no. 14, vol. 9, vol. 9, 14 edn, Namur center for complex systems.

Preferential attachment with partial information. / Carletti, Timoteo; Gargiulo, Floriana; Lambiotte, Renaud.

14 ed. Namur center for complex systems, 2014. 6 p. (naXys Technical Report Series; Vol. 9, No. 14).

Research output: Book/Report/JournalOther report

TY - BOOK

T1 - Preferential attachment with partial information

AU - Carletti, Timoteo

AU - Gargiulo, Floriana

AU - Lambiotte, Renaud

PY - 2014/9/4

Y1 - 2014/9/4

N2 - We propose a preferential attachment model for network growth where new entering nodes have a partial information about the state of the network. Our main result is that the presence of bounded information modifies the degree distribution by introducing an exponential tail, while it preserves apower law behaviour over a finite small range of degrees. On the other hand, unbounded information is sufficient to let the network grow as in the standard Barabási-Albert model. Surprisingly, the latter feature holds true also when the fraction of known nodes goes asymptotically to zero. Analyticalresults are compared to direct simulations.

AB - We propose a preferential attachment model for network growth where new entering nodes have a partial information about the state of the network. Our main result is that the presence of bounded information modifies the degree distribution by introducing an exponential tail, while it preserves apower law behaviour over a finite small range of degrees. On the other hand, unbounded information is sufficient to let the network grow as in the standard Barabási-Albert model. Surprisingly, the latter feature holds true also when the fraction of known nodes goes asymptotically to zero. Analyticalresults are compared to direct simulations.

KW - complex networks

KW - preferential attachment

KW - statistical mechanics

M3 - Other report

VL - 9

T3 - naXys Technical Report Series

BT - Preferential attachment with partial information

PB - Namur center for complex systems

ER -

Carletti T, Gargiulo F, Lambiotte R. Preferential attachment with partial information. 14 ed. Namur center for complex systems, 2014. 6 p. (naXys Technical Report Series; 14).