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arXiv · 2610.39187

Generalized Discrete Fractal Dimensions of Graph Families

Abstract

Quantifying the self-similarity of complex networks via discrete fractal dimensions is a fundamental problem in network science. In this paper, we investigate some general fractal dimensions of graph families based on q-energy and Rényi entropy. We first establish several bounds for the energy, and then discuss the monotonicity, measure invariance of the dimensions, as well as some concrete graph families.

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Jiantao Liu, Cheng Zeng, Yumei Xue, Qingcheng Zeng. 2026-10-29. Generalized Discrete Fractal Dimensions of Graph Families. https://arxiv.org/abs/2610.39187

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