{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,25]],"date-time":"2025-09-25T18:13:05Z","timestamp":1758823985251,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Let $\\mu\\left( G\\right) $ and $\\mu_{\\min}\\left( G\\right) $ be the largest and smallest eigenvalues of the adjacency matrix of a graph $G$. Our main results are: (i) Let $G$ be a regular graph of order $n$ and finite diameter $D.$ If $H$ is a proper subgraph of $G,$ then $$ \\mu\\left(  G\\right)  -\\mu\\left(  H\\right)  &gt;{1\\over nD}. $$ (ii) If $G$ is a regular nonbipartite graph of order $n$ and finite diameter $D$, then $$ \\mu\\left(  G\\right)  +\\mu_{\\min}\\left(  G\\right)  &gt;{1\\over nD}. $$<\/jats:p>","DOI":"10.37236\/1021","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:48:17Z","timestamp":1578718097000},"source":"Crossref","is-referenced-by-count":9,"title":["The Spectral Radius of Subgraphs of Regular Graphs"],"prefix":"10.37236","volume":"14","author":[{"given":"Vladimir","family":"Nikiforov","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2007,10,5]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v14i1n20\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v14i1n20\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T04:01:07Z","timestamp":1579320067000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v14i1n20"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,10,5]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2007,1,3]]}},"URL":"https:\/\/doi.org\/10.37236\/1021","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2007,10,5]]},"article-number":"N20"}}