{"paper":{"title":"Hamiltonicity of regular sublinear expanders","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Domagoj Brada\\v{c}, Oliver Janzer","submitted_at":"2026-05-14T16:36:41Z","abstract_excerpt":"We say that a $d$-regular graph is a $\\gamma$-expander if for every not too large set of vertices $S$, there are at least $\\gamma d |S|$ edges leaving $S$, and we say that a graph $G$ is $\\gamma$-far from bipartite if at least $\\gamma e(G)$ edges need to be removed to make it bipartite. We prove that there exists an absolute constant $K$ such that any $n$-vertex $d$-regular $\\gamma$-expander with $d \\ge (\\gamma^{-1} \\log n)^K$ is Hamiltonian, provided that it is bipartite or $\\gamma$-far from bipartite. As applications, we obtain highly robust versions of recent important results on the Hamilt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.15043","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"}