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In particular, we characterize prism $\\gamma_{con}$-fixers and -doublers. We also show that the differences $\\gamma_{wcon}(G)-\\gamma_{wcon}(\\pi G)$ and $\\gamma_{wcon}(\\pi G) - 2\\gamma_{wcon}(G)$ can be arbi"},"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":"1712.07545","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-12-20T15:56:11Z","cross_cats_sorted":[],"title_canon_sha256":"e8dabe6b0eeba52559297fd01176306abf852c987aefe224e999f0f7c11d8a52","abstract_canon_sha256":"9e326e4090d1d85da9bc606463073b4121faad787bdefb88ab28fbe0a04273ef"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:34.278832Z","signature_b64":"y+p3QkXFrc2pgXWyZndaF9DL0+7CWqUSen8oNFiSeK0ChLdW9u7hkurROF76KeWs08/qd1/4T83+9Qa8LyvdAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8adc3e7fd852a412b9529f453a76b7848c4bf1b6ef1ca251315226b9c00cd506","last_reissued_at":"2026-05-18T00:27:34.278187Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:34.278187Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Convex and weakly convex domination in prism graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Monika Rosicka","submitted_at":"2017-12-20T15:56:11Z","abstract_excerpt":"For a given graph $G=(V,E)$ and permutation $\\pi:V\\mapsto V$ the prism $\\pi G$ of $G$ is defined as follows: $V(\\pi G)=V(G)\\cup V(G')$, where $G'$ is a copy of $G$, and $E(\\pi G)=E(G)\\cup E(G')\\cup M_{\\pi}$, where $M_{\\pi}=\\{uv': u\\in V(G), v=\\pi(u)\\}$ and $v'$ denotes the copy of $v$ in $G'$.\n  We study and compare the properties of convex and weakly convex dominating sets in prism graphs. In particular, we characterize prism $\\gamma_{con}$-fixers and -doublers. 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