{"paper":{"title":"A Proof of Delta Conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Pedro D\\'iaz Navarro","submitted_at":"2018-06-16T04:38:45Z","abstract_excerpt":"By finding orthogonal representation for a family of simple connected called $\\delta$-graphs it is possible to show that $\\delta$-graphs satisfy delta conjecture. An extension of the argument to graphs of the form $\\overline{P_{\\Delta(G)+2}\\sqcup G}$ where $P_{\\Delta(G)+2}$ is a path and $G$ is a simple connected graph it is possible to find an orthogonal representation of $\\overline{P_{\\Delta(G)+2}\\sqcup G}$ in $\\mathbb{R}^{\\Delta(G)+1}$. As a consequence we prove delta conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.06851","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"}