Azam Bastanfard - Department of Computer Engineering, Karaj Branch, Islamic Azad University, Karaj, Iran
Ali KheradbeygiMoghadam - Department of Computer Engineering, Karaj Branch, Islamic Azad University, Karaj, Iran
Ali Fallahi RahmatAbadi - Department of Computer Engineering, Karaj Branch, Islamic Azad University, Karaj, Iran

The random walk technique, which has a reputation for excellent performance, is one method for complex networks sampling. However, reducing the input data size is still a considerable topic to increase the efficiency and speed of this algorithm. The two approaches discussed in this paper, the no-retracing and the seed node selection algorithms, inspired the development of random walk technique. The Google PageRank method is integrated with these different approaches. Input data size is decreased while critical nodes are preserved. A real database was used for this sampling. Significant sample characteristics were also covered, including average clustering coefficient, sampling effectiveness, degree distribution, and average degree. The no-retracing method, for example, performs better. The efficiency increases even further when the no-retracing technique is combined with the Google PageRank. When choosing between public transportation and aircraft, for example, these algorithms might be used since time is crucial. Additionally, these algorithms are more energy-efficient methods that were looked at.

Random Walking, Network Sampling, Page-Rank Algorithm, Clustering, Markov chain