{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T04:52:25Z","timestamp":1774500745251,"version":"3.50.1"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We prove that $\\min\\{\\chi(G), \\chi(H)\\} - \\chi(G\\times H)$ can be arbitrarily large,\u00a0and that if Stahl's conjecture on the multichromatic number of Kneser graphs holds, then\u00a0$\\min\\{\\chi(G), \\chi(H)\\}\/\\chi(G\\times H) \\leq 1\/2 + \\epsilon$\u00a0for large values of $\\min\\{\\chi(G), \\chi(H)\\}$.<\/jats:p>","DOI":"10.37236\/8787","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T06:01:56Z","timestamp":1578636116000},"source":"Crossref","is-referenced-by-count":5,"title":["A Note on Hedetniemi's Conjecture, Stahl's Conjecture and the Poljak-R\u00f6dl Function"],"prefix":"10.37236","volume":"26","author":[{"given":"Claude","family":"Tardif","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xuding","family":"Zhu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2019,11,22]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i4p32\/7957","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i4p32\/7957","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T04:01:17Z","timestamp":1579233677000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v26i4p32"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,11,22]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2019,10,11]]}},"URL":"https:\/\/doi.org\/10.37236\/8787","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,11,22]]},"article-number":"P4.32"}}