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For any $r$-uniform hypergraph $H$ and a real number $p\\geq 1$, the $p$-spectral radius $\\lambda^{(p)}(H)$ of $H$ is defined as \\[ \\lambda^{(p)}(H):=\\max_{{\\bf x}\\in\\mathbb{R}^n,\\,\\|{\\bf x}\\|_p=1} r\\sum_{\\{i_1,i_2,\\ldots,i_r\\}\\in E(H)} x_{i_1}x_{i_2}\\cdots x_{i_r}. \\] In this paper, we study the $p$-spectral radius of Berge-$G$ hypergraphs. We determine the $3$-uniform hypergraphs with maximum $p$-spectral radius for $p\\geq 1$ among Be"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1812.06032","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-12-14T17:12:58Z","cross_cats_sorted":[],"title_canon_sha256":"0c5a8726ea9ba3f8c55ec34f254e2386738eb985be4069a632877f9b77eb6adb","abstract_canon_sha256":"18abf699961a9d8d081e6a731888de9f05dd46983923c73b2ca2168134662fb3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:08.301297Z","signature_b64":"Ah1vN4tykZerbga9gXVKqml5mRH9iK5QMyby50fOpdbfZOek+Jqv2AI3YjnRo3/npk9ZLphVw2CIqI0rPfBIAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54a770ff03625b0dc9f64d632828db8160cfdcc3b70c349e7ac2db75bb7e488d","last_reissued_at":"2026-05-17T23:58:08.300733Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:08.300733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The extremal $p$-spectral radius of Berge-hypergraphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Lele Liu, Linyuan Lu, Liying Kang, Zhiyu Wang","submitted_at":"2018-12-14T17:12:58Z","abstract_excerpt":"Let $G$ be a graph. 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