{"paper":{"title":"Generalized Fitch Graphs II: Sets of Binary Relations that are explained by Edge-labeled Trees","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"cs.DM","authors_text":"Carsten R. Seemann, Marc Hellmuth, Peter F. Stadler","submitted_at":"2019-11-18T07:41:39Z","abstract_excerpt":"Fitch graphs $G=(X,E)$ are digraphs that are explained by $\\{\\emptyset, 1\\}$-edge-labeled rooted trees $T$ with leaf set $X$: there is an arc $(x,y) \\in E$ if and only if the unique path in $T$ that connects the last common ancestor $\\mathrm{lca}(x,y)$ of $x$ and $y$ with $y$ contains at least one edge with label \"1\". In practice, Fitch graphs represent xenology relations, i.e., pairs of genes $x$ and $y$ for which a horizontal gene transfer happened along the path from $\\mathrm{lca}(x,y)$ to $y$.\n  In this contribution, we generalize the concept of Fitch graphs and consider trees $T$ that are"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.07469","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1911.07469/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}