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Robin Thomas showed that $K_4$-induced minor-free graphs are well-quasi-ordered by induced minors [Graphs without $K_4$ and well-quasi-ordering, Journal of Combinatorial Theory, Series B, 38(3):240 -- 247, 1985].\n  We provide a dichotomy theorem for $H$-induced minor-free graphs and show that the class of $H$-induced minor-free graphs is well-quasi-ordered by the induced minor relation if and only if $H$ is an induced mi"},"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":"1510.07135","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-10-24T12:14:29Z","cross_cats_sorted":["cs.DM"],"title_canon_sha256":"1a9678dffa52bdca0a398f94847ffa7c71bb65f80fb9a693e7383d740668187f","abstract_canon_sha256":"4ca004dcdff49b86af7eb28c315c9c10fd7d2fa542ca67e69f2fd187379dfbe3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:27.364374Z","signature_b64":"OADFfZTHuoA19XocIxffckQ3K1PeMMSoi6VIl5BWf2FASRqd+gT5yD4X7MlVPTgvf1Sqq42UURQEZBF6Zr6aCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5fb22072901dc1b14f7ed6b3b3ccf10109a5b44378a8bd7cd5f691350c07a737","last_reissued_at":"2026-05-18T00:25:27.363745Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:27.363745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Induced minors and well-quasi-ordering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM"],"primary_cat":"math.CO","authors_text":"Jaros{\\l}aw B{\\l}asiok, Jean-Florent Raymond, Marcin Kami\\'nski, Th\\'eophile Trunck","submitted_at":"2015-10-24T12:14:29Z","abstract_excerpt":"A graph $H$ is an induced minor of a graph $G$ if it can be obtained from an induced subgraph of $G$ by contracting edges. 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