{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,10,7]],"date-time":"2024-10-07T04:17:36Z","timestamp":1728274656896},"reference-count":0,"publisher":"Combinatorial Press","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ars Comb."],"published-print":{"date-parts":[[2024,9,30]]},"abstract":"<jats:p>The secure edge dominating set of a graph  G  is an edge dominating set  F  with the property that for each edge  e \u2208 E \u2212 F , there exists  f \u2208 F  adjacent to  e  such that  ( F \u2212 { f } ) \u222a { e }  is an edge dominating set. In this paper, we obtained upper bounds for edge domination and secure edge domination number for Mycielski of a tree.<\/jats:p>","DOI":"10.61091\/ars-160-16","type":"journal-article","created":{"date-parts":[[2024,10,6]],"date-time":"2024-10-06T21:36:01Z","timestamp":1728250561000},"page":"205-209","source":"Crossref","is-referenced-by-count":0,"title":["Edge Domination and Secure Edge Domination in Mycielski Graph of Trees"],"prefix":"10.61091","volume":"160","author":[{"name":"Department of Mathematics, Amrita Vishwa Vidyapeetham, Kochi, India","sequence":"first","affiliation":[]},{"given":"Nayana P","family":"G","sequence":"first","affiliation":[]},{"given":"Chithra M","family":"R","sequence":"additional","affiliation":[]},{"name":"Department of Mathematics, University of Kerala, Thiruvananthapuram, 695581, Kerala, India","sequence":"additional","affiliation":[]}],"member":"39747","published-online":{"date-parts":[[2024,9,30]]},"container-title":["Ars Combinatoria"],"original-title":[],"deposited":{"date-parts":[[2024,10,6]],"date-time":"2024-10-06T21:36:12Z","timestamp":1728250572000},"score":1,"resource":{"primary":{"URL":"https:\/\/combinatorialpress.com\/ars-articles\/volume-160\/edge-domination-and-secure-edge-domination-in-mycielski-graph-of-trees\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,9,30]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2024,9,30]]},"published-print":{"date-parts":[[2024,9,30]]}},"URL":"https:\/\/doi.org\/10.61091\/ars-160-16","relation":{},"ISSN":["0381-7032","2817-5204"],"issn-type":[{"value":"0381-7032","type":"print"},{"value":"2817-5204","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,9,30]]}}}