{
  "abstract": "In this paper, we investigate the discrete SIS (Susceptible-Infected-Susceptible) models. We focus on minimizing epidemic spreading over networks by extending an existing edge deletion algorithm to the SIS model. To achieve this, we employ the mean-field approximation to linearize the network dynamics into a deterministic SIS model. We analytically demonstrate that the total number of infections is upper-bounded by a super-modular function, thereby ensuring the efficiency of the edge-deletion approach. To evaluate the proposed method, we conduct experiments on synthetic Erdos-Renyi networks and the real-world dataset collected from BBC Pandemic Haslemere app. Numerical simulations validate our theoretical results, confirming that both configurations converge to the stable, disease-free equilibrium.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.30142",
  "author_total": 2,
  "authors": [
    {
      "name": "Hoang Phi Dung"
    },
    {
      "name": "Duong Khanh Ly"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/94aq9dgvr52dt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.30142",
  "fulltext_url": null,
  "id": "94aq9dgvr52dt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.30142",
  "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",
      "cs.SI"
    ],
    [
      "arxiv",
      "math.OC"
    ],
    [
      "openalex",
      "3109|Complex Network Analysis Techniques"
    ]
  ],
  "openalex": "W7166649787",
  "pdf_url": "https://arxiv.org/pdf/2606.30142",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/94aq9dgvr52dt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:35Z",
      "native_id": "2606.30142",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.30142"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Minimizing cumulative infections in SIS epidemic models over networks via an edge deletion algorithm",
  "title_text": "Minimizing cumulative infections in SIS epidemic models over networks via an edge deletion algorithm",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:35Z",
  "url": "https://research.draconitic.com/paper/94aq9dgvr52dt",
  "venue": "arXiv",
  "versions": []
}