{
  "abstract": "We consider the moments and the distribution of the hitting times and cover times of the star graph composed of m arms each of length n. We obtain recurrence relations for the distribution and higher-order moments of both the hitting times of the leaves and the cover times for various initial states. We use the recurrence relations on the moments to analyze the asymptotic behavior of the cover times distribution when the number of arms m, which may depend on the length n of the arms, tends to infinity as n tends to infinity. We call this new graph, composed of an infinite number of arms each of infinite length, the sun graph.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "name": "François Castella"
    },
    {
      "name": "Bruno Sericola"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1en1vb4eth7ct.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "1en1vb4eth7ct",
  "issns": [
    "0166-5316",
    "1872-745X"
  ],
  "landing_url": "https://inria.hal.science/hal-05825320v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.info"
    ],
    [
      "hal",
      "0.math"
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  "openalex": null,
  "pdf_url": "https://inria.hal.science/hal-05825320/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": "Elsevier",
  "ris": "https://research.draconitic.com/paper/1en1vb4eth7ct.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:59Z",
      "native_id": "hal-05825320",
      "source": "hal",
      "url": "https://inria.hal.science/hal-05825320v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:0.math",
      "subfield": "general"
    }
  ],
  "title": "Hitting and cover times of the star graph and the sun graph",
  "title_text": "Hitting and cover times of the star graph and the sun graph",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:59Z",
  "url": "https://research.draconitic.com/paper/1en1vb4eth7ct",
  "venue": "Performance Evaluation",
  "versions": []
}