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 3-Sequent achromatic sum of graphs Subject The topic of the resource 3-Sequent vertex coloring; 3-sequent vertex coloring number; 3s achromatic number; 3s achromatic sum Description An account of the resource Three vertices x,y,z in a graph G are said to be 3-sequent if xy and yz are adjacent edges in G. A 3-sequent coloring (3s coloring) is a function ?: V (G) ?{1, 2,...,k} such that if x,y and z are 3-sequent vertices, then either ?(x) = ?(y) or ?(y) = ?(z) (or both). The 3-sequent achromatic number of a graph G, denoted ?3s(G), equals the maximum number of colors that can be used in a coloring of the vertices' of G such that if xy and yz are any two sequent edges in G, then either x or z is colored the same as y. The 3-sequent achromatic sum of a graph G, denoted a'3s(G), is the greatest sum of colors among all proper 3s-coloring that requires ?3s(G) colors. This research initiates the study of 3-sequent achromatic sum and finds the exact values of this parameter for some known graphs. Furthermore, we calculate the a'3s(G) of corona product, Cartesian product of the graphs and some important results have been proved and a comparative study is carried out. 2021 World Scientific Publishing Company. Creator An entity primarily responsible for making the resource Dominic C.; Devassia J.V. Source A related resource from which the described resource is derived Discrete Mathematics, Algorithms and Applications, Vol-13, No. 4 Publisher An entity responsible for making the resource available World Scientific Date A point or period of time associated with an event in the lifecycle of the resource 2021-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1142/S1793830921500397" target="_blank" rel="noreferrer noopener">https://doi.org/10.1142/S1793830921500397</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85097382406&amp;doi=10.1142%2FS1793830921500397&amp;partnerID=40&amp;md5=4e61a2febc0c2d2d0348e833bc2d2ca0" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85097382406&amp;doi=10.1142%2fS1793830921500397&amp;partnerID=40&amp;md5=4e61a2febc0c2d2d0348e833bc2d2ca0</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 17938309 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 Dominic C., Department of Mathematics, Christ (Deemed to Be University), Bangalore, Karnataka, 560029, India; Devassia J.V., Tecnologico de Monterrey, School of Engineering and Sciences, Mexico, Mexico