On the effect of the average clustering coefficient on topology-based link prediction in featureless graphs

Mehrdad Rafiepour; S. Mehdi Vahidipour

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arXiv · 2501.06721

On the effect of the average clustering coefficient on topology-based link prediction in featureless graphs

Mehrdad Rafiepour·S. Mehdi Vahidipour

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Abstract

Link prediction is a fundamental problem in graph theory with diverse applications, including recommender systems, community detection, and identifying spurious connections. While feature-based methods achieve high accuracy, their reliance on node attributes limits their applicability in featureless graphs. For such graphs, structure-based approaches, including common neighbor-based and degree-dependent methods, are commonly employed. However, the effectiveness of these methods depends on graph density, with common neighbor-based algorithms performing well in dense graphs and degree-dependent methods being more suitable for sparse or tree-like graphs. Despite this, the literature lacks a clear criterion to distinguish between dense and sparse graphs. This paper introduces the average clustering coefficient as a criterion for assessing graph density to assist with the choice of link prediction algorithms. To address the scarcity of datasets for empirical analysis, we propose a novel graph generation method based on the Barabasi-Albert model, which enables controlled variation of graph density while preserving structural heterogeneity. Through comprehensive experiments on synthetic and real-world datasets, we establish an empirical boundary for the average clustering coefficient that facilitates the selection of effective link prediction techniques.

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Mehrdad Rafiepour, S. Mehdi Vahidipour. 2025-01-12. On the effect of the average clustering coefficient on topology-based link prediction in featureless graphs. https://arxiv.org/abs/2501.06721

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