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Let P and Kw denote the Petersen graph and a complete graph on w vertices, respectively. In this paper, we show that multicone graphs Kw+P are determined by their signless Laplacian spectra, their Laplacian spectra and their adjacency spectra. Keywords: DS graph; Multicone graph; Signless Laplacian spectrum; Petersen graph."},"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":"1706.02661","kind":"arxiv","version":8},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2017-06-08T16:04:58Z","cross_cats_sorted":[],"title_canon_sha256":"99210d99bee781ecf75badf746b2ebe1f04c79451da6f9cb2e71ced34076b2f2","abstract_canon_sha256":"452d22ad27a9db04a52f44676274da626b4ca36ad9294897ade82d326e4f3fcf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:12.014771Z","signature_b64":"PPD2djvgBvndQDVtGOvYpBC/Y3+bXEu8kYo4OtRN7Ne2xn5He37ZxJLvFw8TCQDYt91faBYCI8D2Uo5WmB31CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e7e9bfa5c26a0a3acf3c76a405f10d6a7036f60b4ea62e5854bb80d0025f4842","last_reissued_at":"2026-05-18T00:22:12.014238Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:12.014238Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The spectral determination of the multicone graphs Kw+P","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Ali Zeydi Abdian","submitted_at":"2017-06-08T16:04:58Z","abstract_excerpt":"The main aim of this study is to characterize new classes of multicone graphs which are determined by their signless Laplacian spectra, their Laplacian spectra and their adjacency spectra. 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