{
  "abstract": "The complementary prism $G\\overline{G}$ of a graph $G$ is obtained from the disjoint union of $G$ and its complement $\\overline{G}$ by adding an edge between each vertex $a$ in $G$ and its copy $a'$ in $\\overline{G}.$ This paper explores a general framework for studying fractional revival with respect to real symmetric matrices with a block structure. The framework is then used to show that, for a fixed state $\\mathbf{u}$ in $G$ orthogonal to the all-one vector, the complementary prism $G\\overline{G}$ exhibits fractional revival from the state $[\\mathbf{u},\\mathbf{0}]^T$ with respect to the adjacency, Laplacian, and signless Laplacian matrices. We further characterize perfect pair state transfer in the complementary prism of a complete graph and establish the existence of perfect pair and plus state transfer in the complementary prism of a complete bipartite graph.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.12725",
  "author_total": 2,
  "authors": [
    {
      "name": "Sarojini Mohapatra"
    },
    {
      "name": "Hiranmoy Pal"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d0cf0m5vbv6yz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.12725",
  "fulltext_url": null,
  "id": "d0cf0m5vbv6yz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.12725",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "2608|Graph theory and applications"
    ]
  ],
  "openalex": "W7212954428",
  "pdf_url": "https://arxiv.org/pdf/2609.12725",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d0cf0m5vbv6yz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:07Z",
      "native_id": "2609.12725",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.12725"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Fractional revival in complementary prisms of graphs",
  "title_text": "Fractional revival in complementary prisms of graphs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:11Z",
  "url": "https://research.draconitic.com/paper/d0cf0m5vbv6yz",
  "venue": "arXiv",
  "versions": []
}