{"paper":{"title":"On the polygonal diameter of the interior, resp. exterior, of a simple closed polygon in the plane","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Horst Martini, Micha A. Perles, Yaakov S. Kupitz","submitted_at":"2010-12-16T09:34:36Z","abstract_excerpt":"We give a tight upper bound on the polygonal diameter of the interior, resp. exterior, of a simple $n$-gon, $n \\ge 3$, in the plane as a function of $n$, and describe an $n$-gon $(n \\ge 3)$ for which both upper bounds (for the interior and the exterior) are attained \\emph{simultaneously}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.3541","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"}