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 On Leech labelings of graphs and some related concepts Subject The topic of the resource Leech graph; Leech index; Leech labeling; Path number Description An account of the resource Let G=(V,E) be a graph and let f:E?{1,2,3,} be an edge labeling of G. The path weight of a path P in G is the sum of the labels of the edges of P and is denoted by w(P). The path number of G, tp(G) is the total number of paths in a graph G. If the set of all path weights S in G with respect to the labeling f is {1,2,3,,tp(G)}, then f is called a Leech labeling of G. A graph which admits a Leech labeling is called a Leech graph. Leech index is a parameter which evaluates how close a graph is towards being Leech. In this paper, the path number of the wheel graph Wn is obtained. We also determine a bound for the Leech index of Wn and a subclass of unicyclic graphs. A python program that gives all possible Leech labelings of a cycle Cn for n?3, if it exists, is also provided. 2023 Elsevier B.V. Creator An entity primarily responsible for making the resource Lakshmanan S. A.; Eldho M.M. Source A related resource from which the described resource is derived Discrete Mathematics, Vol-347, No. 4 Publisher An entity responsible for making the resource available Elsevier B.V. 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/10.1016/j.disc.2023.113837" target="_blank" rel="noreferrer noopener">https://doi.org/10.1016/j.disc.2023.113837</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85179830543&amp;doi=10.1016%2Fj.disc.2023.113837&amp;partnerID=40&amp;md5=73a18f19b5a84f5332f2d4de5e61ed32" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85179830543&amp;doi=10.1016%2fj.disc.2023.113837&amp;partnerID=40&amp;md5=73a18f19b5a84f5332f2d4de5e61ed32</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 0012365X; CODEN: DSMHA 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 Lakshmanan S. A., Department of Mathematics, Cochin University of Science and Technology, Kerala, Cochin, 22, India; Eldho M.M., Department of Mathematics, CHRIST (Deemed to be University), Kerala, Bangalore, India