{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,28]],"date-time":"2025-12-28T02:28:47Z","timestamp":1766888927728,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Let $I=I(D)$ be the edge ideal of a weighted oriented graph $D$ whose underlying graph is $G$. We determine the irredundant irreducible decomposition of $I$. Also, we characterize the associated primes and the unmixed property of $I$. Furthermore, we give a combinatorial characterization for the unmixed property of $I$, when $G$ is bipartite, $G$ is a graph with whiskers or $G$ is a cycle. Finally, we study the Cohen\u2013Macaulay property of $I$.<\/jats:p>","DOI":"10.37236\/8479","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T06:45:30Z","timestamp":1578638730000},"source":"Crossref","is-referenced-by-count":29,"title":["Monomial Ideals of Weighted Oriented Graphs"],"prefix":"10.37236","volume":"26","author":[{"given":"Yuriko","family":"Pitones","sequence":"first","affiliation":[]},{"given":"Enrique","family":"Reyes","sequence":"additional","affiliation":[]},{"given":"Jonathan","family":"Toledo","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2019,8,30]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i3p44\/7904","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i3p44\/7904","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T04:09:09Z","timestamp":1579234149000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v26i3p44"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,8,30]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2019,7,4]]}},"URL":"https:\/\/doi.org\/10.37236\/8479","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2019,8,30]]},"article-number":"P3.44"}}