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Let $C_{2n}^*$ be the cycle graph $C_{2n}$ with a diagonal, and $\\widetilde{C_n}$ be the graph with vertex set $\\{v_0, v_1, \\ldots, v_{n-1}\\}$ and $E(\\widetilde{C_n})=E(C_n)\\cup \\{v_0v_2\\}$. Marchant and Thomason determined the edit distance function of $C_6^{*}$. Peck studied the edit distance function of $C_n$, while Berikkyzy"},"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":"1707.07170","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-07-22T14:24:53Z","cross_cats_sorted":[],"title_canon_sha256":"7725c33ce4549e0af715a73f460085240f9e6b35c14ca0d362d949c380f524e7","abstract_canon_sha256":"c2430c25882a177d4fe13a11040e10b7584cf758812fd4493280d287a8c740c5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:14.465520Z","signature_b64":"XxbtMoFy+pmBEHUiCaPWZrBieo4QqpL+u7H6x3Vel7XDpQrE1RAuJmkBOHK8qAxQckflNJRQRTuRQd+i5/37CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36227a958cc6a2d2265ec0e1ff32f11d1275036a3dcccea5d890bfedbd27b7b0","last_reissued_at":"2026-05-18T00:16:14.464814Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:14.464814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The edit distance function of some graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Yarong Wei, Yongtang Shi, Yumei Hu","submitted_at":"2017-07-22T14:24:53Z","abstract_excerpt":"The edit distance function of a hereditary property $\\mathscr{H}$ is the asymptotically largest edit distance between a graph of density $p\\in[0,1]$ and $\\mathscr{H}$. Denote by $P_n$ and $C_n$ the path graph of order $n$ and the cycle graph of order $n$, respectively. Let $C_{2n}^*$ be the cycle graph $C_{2n}$ with a diagonal, and $\\widetilde{C_n}$ be the graph with vertex set $\\{v_0, v_1, \\ldots, v_{n-1}\\}$ and $E(\\widetilde{C_n})=E(C_n)\\cup \\{v_0v_2\\}$. Marchant and Thomason determined the edit distance function of $C_6^{*}$. 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