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  "path": "/abs/2605.26633v1",
  "publishedAt": "2026-05-27T00:00:00.000Z",
  "site": "https://arxiv.org",
  "tags": [
    "Devin Frost",
    "Kimberly Kokado",
    "Csaba D. Tóth"
  ],
  "textContent": "**Authors:** Devin Frost, Kimberly Kokado, Csaba D. Tóth\n\nThis paper proves a conjecture by Solomon about Steiner shallow-light trees (SLT) in Euclidean $d$-space: It is shown that for any finite point set $\\mathbb{R}^d$, any root, and any $ε>0$, there is a Euclidean Steiner $(1+ε,O(\\sqrt{1/ε}))$-SLT without any dependence on dimension. We also revisit the core example, designed by Solomon, in the plane and its generalization to $d$-space.",
  "title": "Euclidean Steiner Shallow-Light Trees in Higher Dimensions"
}