Complex networks: Effect of subtle changes in nature of randomness

✍ Scribed by Sanchari Goswami; Soham Biswas; Parongama Sen

• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 377 KB
• Volume: 390
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/j.physa.2010.10.024

✦ Synopsis

In two different classes of network models, namely, the Watts Strogatz type and the Euclidean type, subtle changes have been introduced in the randomness. In the Watts Strogatz type network, rewiring has been done in different ways and although the qualitative results remain the same, finite differences in the exponents are observed. In the Euclidean type networks, where at least one finite phase transition occurs, two models differing in a similar way have been considered. The results show a possible shift in one of the phase transition points but no change in the values of the exponents. The WS and Euclidean type models are equivalent for extreme values of the parameters; we compare their behaviour for intermediate values.