{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,11]],"date-time":"2024-07-11T00:25:27Z","timestamp":1720657527690},"reference-count":0,"publisher":"Combinatorial Press","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ars Comb."],"published-print":{"date-parts":[[2024,6,30]]},"abstract":"<jats:p>For a poset \\(P = C_a \\times C_b\\), a subset \\(A \\subseteq P\\) is called a chain blocker for \\(P\\) if \\(A\\) is inclusion-wise minimal with the property that every maximal chain in \\(P\\) contains at least one element of \\(A\\), where \\(C_i\\) is the chain \\(1 &lt; \\cdots &lt; i\\). In this article, we define the shelter of the poset \\(P\\) to give a complete description of all chain blockers of \\(C_5 \\times C_b\\) for \\(b \\geq 1\\).<\/jats:p>","DOI":"10.61091\/ars159-07","type":"journal-article","created":{"date-parts":[[2024,7,10]],"date-time":"2024-07-10T05:14:41Z","timestamp":1720588481000},"page":"59-71","source":"Crossref","is-referenced-by-count":0,"title":["On the Shelter of a Poset &amp; Its Algebraic Applications"],"prefix":"10.61091","volume":"159","author":[{"given":"Sarfraz","family":"Ahmad","sequence":"first","affiliation":[]},{"name":"Department of Mathematics, Comsats University Islamabad, Lahore Campus, Pakistan","sequence":"first","affiliation":[]},{"given":"Muhammad Kamran","family":"Siddiqui","sequence":"additional","affiliation":[]},{"given":"Muhammad Arfan Ali","family":"Ali","sequence":"additional","affiliation":[]},{"given":"Muhammed","family":"Nadeem","sequence":"additional","affiliation":[]},{"name":"Department of Mathematics, Comsats University Islamabad, Lahore Campus, Pakistan","sequence":"additional","affiliation":[]},{"name":"Department of Mathematics, Virtual University of Pakistan, 54-Lawrence Road, Lahore, Pakistan","sequence":"additional","affiliation":[]},{"name":"Lahore Garrison University, Lahore, 54000, Pakistan","sequence":"additional","affiliation":[]}],"member":"39747","published-online":{"date-parts":[[2024,6,30]]},"container-title":["Ars Combinatoria"],"original-title":[],"deposited":{"date-parts":[[2024,7,10]],"date-time":"2024-07-10T05:14:46Z","timestamp":1720588486000},"score":1,"resource":{"primary":{"URL":"https:\/\/combinatorialpress.com\/ars-articles\/volume-159\/on-the-shelter-of-a-poset-its-algebraic-applications\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,6,30]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2024,6,30]]},"published-print":{"date-parts":[[2024,6,30]]}},"URL":"https:\/\/doi.org\/10.61091\/ars159-07","relation":{},"ISSN":["0381-7032","2817-5204"],"issn-type":[{"value":"0381-7032","type":"print"},{"value":"2817-5204","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,6,30]]}}}