{"paper":{"title":"Automorphism group of the subspace inclusion graph of a vector space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Dein Wong, Fenglei Tian, Xinlei Wang","submitted_at":"2017-04-19T09:58:33Z","abstract_excerpt":"In a recent paper [Comm. Algebra, 44(2016) 4724-4731], Das introduced the graph $\\mathcal{I}n(\\mathbb{V})$, called subspace inclusion graph on a finite dimensional vector space $\\mathbb{V}$, where the vertex set is the collection of nontrivial proper subspaces of $\\mathbb{V}$ and two vertices are adjacent if one is properly contained in another. Das studied the diameter, girth, clique number, and chromatic number of $\\mathcal{I}n(\\mathbb{V})$ when the base field is arbitrary, and he also studied some other properties of $\\mathcal{I}n(\\mathbb{V})$ when the base field is finite. In this paper, t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.05673","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"}