{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,1]],"date-time":"2025-12-01T02:51:59Z","timestamp":1764557519545,"version":"3.41.2"},"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 if ${\\cal{H}}=(V({\\cal{H}}),{\\cal{E}}({\\cal{H}}))$ is a hypergraph, $\\gamma$ is an edge colouring of ${\\cal{H}}$, and $S\\subseteq V({\\cal{H}})$ such that any permutation of $S$ is an automorphism of ${\\cal{H}}$, then there exists a permutation $\\pi$ of ${\\cal{E}}({\\cal{H}})$ such that\u00a0$|\\pi(E)|=|E|$ and $\\pi(E)\\setminus S=E\\setminus S$ for each $E\\in{\\cal{H}}({\\cal{H}})$,\u00a0and such that the edge colouring $\\gamma'$ of ${\\cal{H}}$ given by $\\gamma'(E)=\\gamma(\\pi^{-1}(E))$ for each $E\\in{\\cal{E}}({\\cal{H}})$ is almost regular on $S$.\u00a0The proof is short and elementary. We show that a number of known results,\u00a0such as Baranyai's Theorem on almost-regular edge colourings of complete $k$-uniform hypergraphs,\u00a0are easy corollaries of this theorem.<\/jats:p>","DOI":"10.37236\/5826","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T20:07:38Z","timestamp":1578686858000},"source":"Crossref","is-referenced-by-count":7,"title":["On Almost-Regular Edge Colourings of Hypergraphs"],"prefix":"10.37236","volume":"23","author":[{"given":"Darryn","family":"Bryant","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2016,10,14]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v23i4p7\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v23i4p7\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T05:11:25Z","timestamp":1579237885000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v23i4p7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,10,14]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2016,10,14]]}},"URL":"https:\/\/doi.org\/10.37236\/5826","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2016,10,14]]},"article-number":"P4.7"}}