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 Articles Article Faculty Publications -Articles 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 NDC Pebbling Number for Some Class of Graphs Subject The topic of the resource Cover pebbling number; NDC pebbling number; Non-split dominating set Description An account of the resource Let G be a connected graph. A pebbling move is defined as taking two pebbles from one vertex and the placing one pebble to an adjacent vertex and throwing away the another pebble. A dominating set D of a graph G = (V, E) is a non-split dominating set if the induced graph &lt; V ? D &gt; is connected. The Non-split Domination Cover(NDC) pebbling number, ?ns(G), of a graph G is the minimum of pebbles that must be placed on V(G) such that after a sequence of pebbling moves, the set of vertices with a pebble forms a non-split dominating set of G, regardless of the initial configuration of pebbles. We discuss some basic results and determine ?ns for some families of standard graphs. 2024 the Author(s), licensee Combinatorial Press. Creator An entity primarily responsible for making the resource Lourdusamy A.; Dhivviyanandam I.; Mathew L. Source A related resource from which the described resource is derived Journal of Combinatorial Mathematics and Combinatorial Computing, Vol-119, pp. 121-128. Publisher An entity responsible for making the resource available Charles Babbage Research Centre 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/10.61091/jcmcc119-13" target="_blank" rel="noreferrer noopener">https://doi.org/10.61091/jcmcc119-13</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85192672126&amp;doi=10.61091%2Fjcmcc119-13&amp;partnerID=40&amp;md5=cb9b767211b83765ce93c1a35256c14f" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85192672126&amp;doi=10.61091%2fjcmcc119-13&amp;partnerID=40&amp;md5=cb9b767211b83765ce93c1a35256c14f</a> Rights Information about rights held in and over the resource All Open Access; Hybrid Gold Open Access Relation A related resource ISSN: 8353026 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 Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Lourdusamy A., Department of Mathematics, St. Xaviers College (Autonomous), Palayamkottai, India; Dhivviyanandam I., St. Xaviers College (Autonomous), Palayamkottai Affiliated to Manonmaniam Sundaranar University, Tamil Nadu, Abisekapatti, 627012, India; Mathew L., Department of Mathematics CHRIST(Deemed to be university), Pune- Lavasa Campus, India