{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T16:39:10Z","timestamp":1740155950490,"version":"3.37.3"},"reference-count":10,"publisher":"World Scientific Pub Co Pte Ltd","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2017,12]]},"abstract":"<jats:p> For a vertex property [Formula: see text] and a graph [Formula: see text], a set [Formula: see text] of vertices of [Formula: see text] is a [Formula: see text]-set of [Formula: see text] if [Formula: see text]. The maximum and minimum cardinality of a [Formula: see text]-set of [Formula: see text] are denoted by [Formula: see text] and [Formula: see text], respectively. If [Formula: see text] is a [Formula: see text]-set such that its cardinality equals [Formula: see text] or [Formula: see text], we say that [Formula: see text] is an [Formula: see text]-set or [Formula: see text]-set of [Formula: see text], respectively. In this paper, we obtain such numbers of generalized lexicographic product graphs in some vertex properties. <\/jats:p>","DOI":"10.1142\/s1793830917500793","type":"journal-article","created":{"date-parts":[[2017,11,26]],"date-time":"2017-11-26T20:27:03Z","timestamp":1511728023000},"page":"1750079","source":"Crossref","is-referenced-by-count":1,"title":["Partially composed property of generalized lexicographic product graphs"],"prefix":"10.1142","volume":"09","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1889-3826","authenticated-orcid":false,"given":"Nopparat","family":"Pleanmani","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand"}]},{"given":"Boyko","family":"Gyurov","sequence":"additional","affiliation":[{"name":"School of Science and Technology, Georgia Gwinnett College, 1000 University Center Lane Lawrenceville, GA 30043, USA"}]},{"given":"Sayan","family":"Panma","sequence":"additional","affiliation":[{"name":"Centre of Excellence in Mathematics, CHE, Bangkok 10400, Thailand"},{"name":"Centre of Excellence in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand"}]}],"member":"219","published-online":{"date-parts":[[2017,12,13]]},"reference":[{"key":"S1793830917500793BIB001","doi-asserted-by":"publisher","DOI":"10.7151\/dmgt.1037"},{"key":"S1793830917500793BIB002","doi-asserted-by":"publisher","DOI":"10.7151\/dmgt.1048"},{"volume-title":"Fundamentals of Domination in Graphs","year":"1998","author":"Haynes T.","key":"S1793830917500793BIB003"},{"volume-title":"Domination in Graphs: Advanced Topics","year":"1998","author":"Haynes T.","key":"S1793830917500793BIB004"},{"volume-title":"Product Graphs: Structure and Recognition","year":"2000","author":"Imrich W.","key":"S1793830917500793BIB005"},{"key":"S1793830917500793BIB006","doi-asserted-by":"publisher","DOI":"10.1515\/9783110255096"},{"issue":"6","key":"S1793830917500793BIB007","first-page":"607","volume":"13","author":"Sampathkumar E.","year":"1979","journal-title":"J. Math. Phys. Sci."},{"key":"S1793830917500793BIB008","doi-asserted-by":"publisher","DOI":"10.12732\/ijpam.v85i4.10"},{"key":"S1793830917500793BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2012.04.008"},{"key":"S1793830917500793BIB010","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2013.03.011"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830917500793","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T10:20:13Z","timestamp":1565173213000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830917500793"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,12]]},"references-count":10,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2017,12,13]]},"published-print":{"date-parts":[[2017,12]]}},"alternative-id":["10.1142\/S1793830917500793"],"URL":"https:\/\/doi.org\/10.1142\/s1793830917500793","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"type":"print","value":"1793-8309"},{"type":"electronic","value":"1793-8317"}],"subject":[],"published":{"date-parts":[[2017,12]]}}}