Nanzan University, 18 Yamazato-cho, Showa-ku, Nagoya 466-8673, Japan

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Abstract—This paper presents an alternative to Google's PageRank, i.e., it presents an algorithm used to calculate the score for a webpage using complex numbers that overcomes the problems inherent in Google's method. This algorithm was inspired by eigenvector centrality in social network analyses and is designed to reproduce the ranking results of Google's PageRank and to satisfy the condition of soundness. This algorithm can be developed further to achieve more desirable outcomes.

Index Terms—Complex number, Hermitian adjacency matrix, Google, PageRank

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Cite: Keita Sugihara, "Using Complex Numbers in Website Ranking Calculations: A Non-ad hoc Alternative to Google’s PageRank," Journal of Software vol. 14, no. 2, pp. 58-64, 2019.