PMID: 11308816Apr 20, 2001Paper

Random spread on the family of small-world networks

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
S A Pandit, R E Amritkar

Abstract

We present analytical and numerical results of a random walk on the family of small-world graphs. The average access time shows a crossover from regular to random behavior with increasing distance from the starting point of the random walk. We introduce an independent step approximation, which enables us to obtain analytic results for the average access time. We observe a scaling relation for the average access time in the degree of the nodes. The behavior of the average access time as a function of p shows striking similarity with that of the characteristic length of the graph. This observation may have important applications in routing and switching in networks with a large number of nodes.

References

Jun 12, 1998·Nature·D J Watts, S H Strogatz
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·R V KulkarniD Stroud
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·S A Pandit, R E Amritkar
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·C F Moukarzel
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·M E Newman, D J Watts

❮ Previous
Next ❯

Citations

Mar 3, 2012·Evolution; International Journal of Organic Evolution·Gerrit Sander van Doorn, Michael Taborsky
Dec 20, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E AlmaasD Stroud
Apr 20, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jae Dong Noh, Heiko Rieger
Feb 28, 2002·Physical Review Letters·E AlmaasD Stroud
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Naoki Masuda, Norio Konno
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Shi-Jie Yang
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Carlos P Herrero
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Z DezsöA-L Barabási
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Paul E ParrisV M Kenkre
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhongzhi ZhangMo Li
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhongzhi ZhangJihong Guan
Mar 10, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhongzhi ZhangYuan Lin
May 17, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Maxim S ShkarayevDavid Cai
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Carlos P Herrero
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Scott A Hill, Dan Braha
Jan 1, 2009·Frontiers of Computer Science in China·Zonghua LiuPak-Ming Hui
Jun 13, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Carlos P Herrero
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sudeshna Sinha
Mar 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Luciano da Fontoura Costa, Gonzalo Travieso
Mar 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Maruthi Pradeep Kanth JampaSudeshna Sinha
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhongzhi ZhangJihong Guan
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Prashant M Gade, Sudeshna Sinha
Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sudeshna Sinha
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Swarup PoriaSudeshna Sinha
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Luis G Morelli, Hilda A Cerdeira
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Reuven CohenYaneer Bar-Yam
Nov 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Carlos P Herrero
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alessandro P S de Moura
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Carlos P Herrero, Martha Saboyá
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A García Cantú, E Abad

❮ Previous
Next ❯

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
M Brede, U Behn
Nature
A L BarabásiJ B Brockman
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
L Kullmann, J Kertész
© 2021 Meta ULC. All rights reserved