A convex principle of search time for a multi-biased random walk on complex networks

Yan Wang, Xinxin Cao, Tongfeng Weng, Huijie Yang and Changgui Gu

Chaos, Solitons & Fractals, 2021, vol. 147, issue C

Abstract: We propose a mixed strategy named multi-biased random walk on complex networks, i.e., a walker simultaneously adopts different biased random walks with respective proportions. An analytical expression of mean first passage time is derived to quantify the expected time required to find a given target. The global mean first passage time of our strategy turns out to obey a convex function with respect to that of their associated pure strategies no matter the target is static or mobile. It is a fundamental law governing this mixed search strategy. These findings are confirmed by numerical and theoretical results on a number of synthetic and real networks.

Keywords: Multi-biased random walk; Convex function; Complex networks (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921003441

DOI: 10.1016/j.chaos.2021.110990

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