{"paper":{"title":"Lower bounds of the skew spectral radii and skew energy of oriented graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Huishu Lian, Xiaolin Chen, Xueliang Li","submitted_at":"2014-05-20T07:09:23Z","abstract_excerpt":"Let $G$ be a graph with maximum degree $\\Delta$, and let $G^{\\sigma}$ be an oriented graph of $G$ with skew adjacency matrix $S(G^{\\sigma})$. The skew spectral radius $\\rho_s(G^{\\sigma})$ of $G^\\sigma$ is defined as the spectral radius of $S(G^\\sigma)$. The skew spectral radius has been studied, but only few results about its lower bound are known. This paper determines some lower bounds of the skew spectral radius, and then studies the oriented graphs whose skew spectral radii attain the lower bound $\\sqrt{\\Delta}$. Moreover, we apply the skew spectral radius to the skew energy of oriented gr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.4972","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":""},"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"}