{"paper":{"title":"A construction for infinite families of semisymmetric graphs revealing their full automorphism group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Geertrui Van de Voorde, Philippe Cara, Sara Rottey","submitted_at":"2013-01-09T09:48:48Z","abstract_excerpt":"We give a general construction leading to different non-isomorphic families $\\Gamma_{n,q}(\\K)$ of connected $q$-regular semisymmetric graphs of order $2q^{n+1}$ embedded in $\\PG(n+1,q)$, for a prime power $q=p^h$, using the linear representation of a particular point set $\\K$ of size $q$ contained in a hyperplane of $\\PG(n+1,q)$. We show that, when $\\K$ is a normal rational curve with one point removed, the graphs $\\Gamma_{n,q}(\\K)$ are isomorphic to the graphs constructed for $q$ prime in [9] and to the graphs constructed for $q=p^h$ in [20]. These graphs were known to be semisymmetric but th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1794","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}