Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Conference Papers Conference Paper Faculty Publications- Conference Papers Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource On Some Graphs Whose Domination Number Is thePerfect Italian Domination Number Subject The topic of the resource Domination number; Independent set; Join operator; perfect italian domination Description An account of the resource Perfect Italian Domination (PID) is a vertex labelling of a graph G by numbers from the set such that a vertex in G labelled 0 has a neighbourhood where the summation of the labels of the vertices in it is precisely 2. The summation of labels on the vertices of the graph which satisfy the PID labelling is known as its PID number, and is the minimum possible PID number of a graph G. We find some characterization of graphs for which . We also find a lower bound for |V(G)|, which satisfies the same. Further, we discuss the graphs that satisfies or . A realisation problem is used to prove that PID cannot be bounded by a scalar multiple of the Domination number. The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024. Creator An entity primarily responsible for making the resource Poovathingal A.; Kureethara J.V. Source A related resource from which the described resource is derived Lecture Notes in Networks and Systems, Vol-869 LNNS, pp. 191-200. Publisher An entity responsible for making the resource available Springer Science and Business Media Deutschland GmbH Date A point or period of time associated with an event in the lifecycle of the resource 2024-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1007/978-981-99-9040-5_13" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/978-981-99-9040-5_13</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85190359075&amp;doi=10.1007%2F978-981-99-9040-5_13&amp;partnerID=40&amp;md5=f982d7f6b7c83bb2e9bcd23f9d800b8b" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85190359075&amp;doi=10.1007%2f978-981-99-9040-5_13&amp;partnerID=40&amp;md5=f982d7f6b7c83bb2e9bcd23f9d800b8b</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 23673370; ISBN: 978-981999039-9 Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Conference paper Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Poovathingal A., Department of Mathematics, Christ University, Bangalore, India; Kureethara J.V., Department of Mathematics, Christ University, Bangalore, India