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Braun showed that for $n\\geq 2k+1$ the automorphism group of the $2$-stable Kneser graphs (Schrijver graphs) is isomorphic to the dihedral group of order $2n$. In this paper we generalize this result by proving that for $s\\geq 2$ and $n\\geq sk+1$ the automorphism group of the $s$-stable Kneser graphs also is isomor"},"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":"1509.09185","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-09-30T14:18:34Z","cross_cats_sorted":[],"title_canon_sha256":"4a85ae197e4562777fa8a75224e01364766f30b29185030b2b6c3271ca53f959","abstract_canon_sha256":"0623ad822c453218fde601f48ac5656e5c38358b884b1a182205ee864c5af7cb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:17.745957Z","signature_b64":"5XQsBzbH1OAv5VWeJdLqSv87bwtS7MTdJ+l121aoJwo6aQ2G2o+oDWGfbReIqU+zSmPRlylb93x4n7i9zq49BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4beef87ab5ec37dd38e7b91a67e6f405a8f791f20eb8ee18812611cafc303caf","last_reissued_at":"2026-05-18T01:26:17.745431Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:17.745431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The automorphism group of the $s$-stable Kneser graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Pablo Torres","submitted_at":"2015-09-30T14:18:34Z","abstract_excerpt":"For $k,s\\geq2$, the $s$-stable Kneser graphs are the graphs with vertex set the $k$-subsets $S$ of $\\{1,\\ldots,n\\}$ such that the circular distance between any two elements in $S$ is at least $s$ and two vertices are adjacent if and only if the corresponding $k$-subset are disjoint. 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