The study delves into hierarchical network cutting using random walks, emphasizing balance, size, and permanence. Different network models are considered, revealing interesting results in terms of component sizes and durations.
Several aspects are covered, including basic concepts of complex networks and random walks. The methodology involves sequential and parallel cutting dynamics. Experimental results highlight differences between ER, BA, and GEO networks in terms of duration and hierarchy aspects.
The findings suggest that GEO networks have a higher probability of yielding balanced pairs with comparable sizes. Permanence times were similar across all network types. The study opens avenues for further research on different types of random walks and network models.
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arxiv.org
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