{
  "abstract": "We investigate the relationship between long-range degree correlations and fractality in scale-free random networks. By analyzing degree correlations in scale-free random networks at the percolation threshold, at which a giant component emerges, we derive the ball volume $\\tildeν_k(l)$, defined as the average number of nodes within distance $l$ from a root node with degree $k$. The resulting expression predicts a degree-dependent structural crossover. For $l\\ll k^{1/(\\df-1)}$, the ball volume grows as $\\tildeν_k(l)\\sim kl$, whereas for $l\\gg k^{1/(\\df-1)}$, it crosses over to the global fractal scaling $\\tildeν_k(l)\\sim l^{\\df}$. Here, $\\df$ is the fractal dimension of critical scale-free random networks. We further show that the structural crossover can be naturally understood in terms of critical branching processes and is also observed in empirical fractal networks.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.02883",
  "author_total": 3,
  "authors": [
    {
      "name": "Shogo Mizutaka"
    },
    {
      "name": "Jun Yamamoto"
    },
    {
      "name": "Kousuke Yakubo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8ccnrgfrasbfj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.02883",
  "fulltext_url": null,
  "id": "8ccnrgfrasbfj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.02883",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "physics.soc-ph"
    ],
    [
      "openalex",
      "3109|Complex Network Analysis Techniques"
    ]
  ],
  "openalex": "W7220461610",
  "pdf_url": "https://arxiv.org/pdf/2610.02883",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8ccnrgfrasbfj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:45Z",
      "native_id": "2610.02883",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.02883"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Structural crossover of complex networks: bridging degree correlation and fractality",
  "title_text": "Structural crossover of complex networks: bridging degree correlation and fractality",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:45Z",
  "url": "https://research.draconitic.com/paper/8ccnrgfrasbfj",
  "venue": "arXiv",
  "versions": []
}