{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,5]],"date-time":"2025-10-05T04:28:11Z","timestamp":1759638491780,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We prove bounds on the chromatic number $\\chi$ of a vertex-transitive graph in\u00a0terms of its clique number $\\omega$ and maximum degree $\\Delta$. We conjecture\u00a0that every vertex-transitive graph satisfies $\\chi \\le \\max \\{\\omega, \\left\\lceil\\frac{5\\Delta + 3}{6}\\right\\rceil\\}$, and we prove results supporting this conjecture. Finally, for vertex-transitive graphs with $\\Delta \\ge 13$\u00a0we prove the Borodin\u2013Kostochka conjecture, i.e.,\u00a0$\\chi\\le\\max\\{\\omega,\\Delta-1\\}$.<\/jats:p>","DOI":"10.37236\/4626","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T00:15:30Z","timestamp":1578701730000},"source":"Crossref","is-referenced-by-count":4,"title":["A Note on Coloring Vertex-Transitive Graphs"],"prefix":"10.37236","volume":"22","author":[{"given":"Daniel W.","family":"Cranston","sequence":"first","affiliation":[]},{"given":"Landon","family":"Rabern","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2015,4,14]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v22i2p1\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v22i2p1\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T10:22:58Z","timestamp":1579256578000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v22i2p1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,4,14]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2015,4,14]]}},"URL":"https:\/\/doi.org\/10.37236\/4626","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2015,4,14]]},"article-number":"P2.1"}}