scholarly journals Cut-offs and finite size effects in scale-free networks

2004 ◽  
Vol 38 (2) ◽  
pp. 205-209 ◽  
Author(s):  
M. Bogu�� ◽  
R. Pastor-Satorras ◽  
A. Vespignani
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
Scale Free ◽  
Scale Free Networks

scholarly journals Synchronization in scale-free networks: The role of finite-size effects

2015 ◽  
Vol 110 (6) ◽  
pp. 66001 ◽  
Author(s):  
D. Torres ◽  
M. A. Di Muro ◽  
C. E. La Rocca ◽  
L. A. Braunstein
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
Scale Free ◽  
Scale Free Networks

scholarly journals True scale-free networks hidden by finite size effects

2020 ◽  
Vol 118 (2) ◽  
pp. e2013825118
Author(s):  
Matteo Serafino ◽  
Giulio Cimini ◽  
Amos Maritan ◽  
Andrea Rinaldo ◽  
Samir Suweis ◽  
...  
Keyword(s):  
Power Law ◽  
Size Effects ◽  
Finite Size ◽  
Statistical Testing ◽  
Finite Size Scaling ◽  
Finite Size Effects ◽  
Scale Free ◽  
Size Scaling ◽  
Naturally Occurring ◽  
Scaling Hypothesis

We analyze about 200 naturally occurring networks with distinct dynamical origins to formally test whether the commonly assumed hypothesis of an underlying scale-free structure is generally viable. This has recently been questioned on the basis of statistical testing of the validity of power law distributions of network degrees. Specifically, we analyze by finite size scaling analysis the datasets of real networks to check whether the purported departures from power law behavior are due to the finiteness of sample size. We find that a large number of the networks follows a finite size scaling hypothesis without any self-tuning. This is the case of biological protein interaction networks, technological computer and hyperlink networks, and informational networks in general. Marked deviations appear in other cases, especially involving infrastructure and transportation but also in social networks. We conclude that underlying scale invariance properties of many naturally occurring networks are extant features often clouded by finite size effects due to the nature of the sample data.

Finite-size effects on semi-directed Barabási–Albert networks

2016 ◽  
Vol 27 (09) ◽  
pp. 1650109 ◽  
Author(s):  
M. A. Radwan ◽  
Muneer A. Sumour ◽  
A. M. Elbitar ◽  
M. M. Shabat ◽  
F. W. S. Lima
Keyword(s):  
Size Effect ◽  
Size Effects ◽  
Finite Size ◽  
Network Size ◽  
Finite Size Effect ◽  
Finite Size Effects ◽  
Scale Free ◽  
Number Formula

In scale-free Barabási–Albert (BA) networks, we study the finite-size effect at different number m of neighbors. So, we investigate the effects of finite network size N for the recently developed semi-directed BA networks (SDBA1 and SDBA2) at fixed [Formula: see text]) and show and explain the gap in the distribution of the number [Formula: see text] of neighbors of the nodes i.

Finite Size Effects on Electroluminescence of Nanoscale Semiconducting Polymer Heterojunctions

1997 ◽  
Vol 9 (2) ◽  
pp. 409-412 ◽  
Author(s):  
Samson A. Jenekhe ◽  
Xuejun Zhang ◽  
X. Linda Chen ◽  
Vi-En Choong ◽  
Yongli Gao ◽  
...  
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
Semiconducting Polymer

scholarly journals Entanglement, combinatorics and finite-size effects in spin chains

2009 ◽  
Vol 2009 (02) ◽  
pp. P02063 ◽  
Author(s):  
Bernard Nienhuis ◽  
Massimo Campostrini ◽  
Pasquale Calabrese
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Spin Chains ◽  
Finite Size Effects

scholarly journals Effect of Bjerrum pairs on electrostatic properties in an electrolyte solution near charged surfaces: A mean-field approach

2021 ◽  
Author(s):  
Jun-Sik Sin
Keyword(s):  
Electrolyte Solution ◽  
Size Effects ◽  
Mean Field ◽  
Finite Size ◽  
Ion Association ◽  
Finite Size Effects ◽  
Field Approach ◽  
Electrostatic Properties ◽  
Charged Surfaces ◽  
Orientational Ordering

In this paper, we investigate the consequences of ion association, coupled with the considerations of finite size effects and orientational ordering of Bjerrum pairs as well as ions and water...

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