Hitting Times of Random Walks on Edge Corona Product Graphs
نویسندگان
چکیده
Abstract Graph products have been extensively applied to model complex networks with striking properties observed in real-world systems. In this paper, we study the hitting times for random walks on a class of graphs generated iteratively by edge corona product. We first derive recursive solutions eigenvalues and eigenvectors normalized adjacency matrix associated graphs. Based these results, further obtain interesting quantities about walks, providing iterative formulas two-node time, as well closed-form expressions Kemeny’s constant defined weighted average over all node pairs, arithmetic mean pairs nodes.
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ژورنال
عنوان ژورنال: The Computer Journal
سال: 2023
ISSN: ['0010-4620', '1460-2067']
DOI: https://doi.org/10.1093/comjnl/bxac189