{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:28:41Z","timestamp":1753885721223,"version":"3.41.2"},"reference-count":24,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2022,5]]},"abstract":"<jats:p> Let [Formula: see text] be a graph of order [Formula: see text]. A subset [Formula: see text] of [Formula: see text] is a dominating set of [Formula: see text] if every vertex in [Formula: see text] is adjacent to at least one vertex of [Formula: see text]. The domination polynomial of [Formula: see text] is the polynomial [Formula: see text], where [Formula: see text] is the number of dominating sets of [Formula: see text] of size [Formula: see text], and [Formula: see text] is the size of a smallest dominating set of [Formula: see text], called the domination number of [Formula: see text]. Motivated by a conjecture in [S. Alikhani and Y. H. Peng, Introduction to domination polynomial of a graph, ARS Combin.\u00a0114 (2014) 257\u2013266] which states that the domination polynomial of any graph is unimodal, we obtain sufficient conditions for this conjecture to hold. Also we study the unimodality of graph [Formula: see text] with [Formula: see text], where [Formula: see text] is an integer. <\/jats:p>","DOI":"10.1142\/s179383092150138x","type":"journal-article","created":{"date-parts":[[2021,5,31]],"date-time":"2021-05-31T03:50:50Z","timestamp":1622433050000},"source":"Crossref","is-referenced-by-count":2,"title":["More on the unimodality of domination polynomial of a graph"],"prefix":"10.1142","volume":"14","author":[{"given":"Gee-Choon","family":"Lau","sequence":"first","affiliation":[{"name":"Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA (Segamat Campus), Johor 85000, Malaysia"}]},{"given":"Saeid","family":"Alikhani","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Yazd University, Yazd 89195-741, Iran"}]}],"member":"219","published-online":{"date-parts":[[2021,5,28]]},"reference":[{"doi-asserted-by":"publisher","key":"S179383092150138XBIB001","DOI":"10.1016\/j.ejc.2010.03.007"},{"doi-asserted-by":"publisher","key":"S179383092150138XBIB002","DOI":"10.1090\/conm\/531\/10460"},{"key":"S179383092150138XBIB003","first-page":"99","volume":"91","author":"Alikhani S.","year":"2013","journal-title":"Utilitas Math."},{"issue":"1","key":"S179383092150138XBIB004","first-page":"69","volume":"12","author":"Alikhani S.","year":"2017","journal-title":"Iran. 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