{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,1]],"date-time":"2026-03-01T14:00:00Z","timestamp":1772373600702,"version":"3.50.1"},"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>For any two integers $d,r \\geqslant 1$, we show that there exists an edge ideal $I(G)$ such that ${\\rm reg}\\left(R\/I(G)\\right)$, the Castelnuovo-Mumford regularity of $R\/I(G)$, is $r$, and $\\deg h_{R\/I(G)}(t)$, the degree of the $h$-polynomial of $R\/I(G)$, is $d$. Additionally, if $G$ is a graph on $n$ vertices, we show that ${\\rm reg}\\left(R\/I(G)\\right) + \\deg h_{R\/I(G)}(t) \\leqslant n$.<\/jats:p>","DOI":"10.37236\/8247","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T02:12:01Z","timestamp":1578622321000},"source":"Crossref","is-referenced-by-count":11,"title":["Regularity and $h$-Polynomials of Edge Ideals"],"prefix":"10.37236","volume":"26","author":[{"given":"Takayuki","family":"Hibi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kazunori","family":"Matsuda","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6799-6653","authenticated-orcid":false,"given":"Adam","family":"Van Tuyl","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2019,2,22]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i1p22\/7781","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i1p22\/7781","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,16]],"date-time":"2020-01-16T23:17:55Z","timestamp":1579216675000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v26i1p22"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,2,22]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2019,1,11]]}},"URL":"https:\/\/doi.org\/10.37236\/8247","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,2,22]]},"article-number":"P1.22"}}