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A drawing is self-approaching (increasing-chord) if any pair of vertices is connected by a self-approaching (increasing-chord) path.\n  We study self-approaching and increasing-chord drawings of triangulations and 3-connected planar graphs. We show that in the Euclidean plane, triangulations admit increasing-chord drawings, and for plan"},"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":"1409.0315","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2014-09-01T08:02:25Z","cross_cats_sorted":[],"title_canon_sha256":"721116c540afe26d295763f80663d436a0fb7b44942251af6a7396ad92602b3b","abstract_canon_sha256":"90fe05bdb8216739f8fbff56bfd5db28ff8e8f3c4462281227c02b009c49636f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:07.289162Z","signature_b64":"TRpY3K/HurpbJrTvZGcTxVyzgZIdGYemJvSsKW0ox9qJDzO1TwV/AlnNUTYas68B4c0KNFOf1WrUZ5M4RK76DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7873b185f4e6d0fc9d6fcd698dd64cff0c031eb4781c3b1dca3bca173a38255b","last_reissued_at":"2026-05-18T02:32:07.288777Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:07.288777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Self-Approaching and Increasing-Chord Drawings of 3-Connected Planar Graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"Ignaz Rutter, Martin N\\\"ollenburg, Roman Prutkin","submitted_at":"2014-09-01T08:02:25Z","abstract_excerpt":"An $st$-path in a drawing of a graph is self-approaching if during the traversal of the corresponding curve from $s$ to any point $t'$ on the curve the distance to $t'$ is non-increasing. 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