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 Structural domination and coloring of some (P7,C7)-free graphs Subject The topic of the resource Chromatic number; Clique number; P<sub>7</sub>-free graphs; Split graphs; Structural domination Description An account of the resource We show that every connected induced subgraph of a graph G is dominated by an induced connected split graph if and only if G is C-free, where C is a set of six graphs which includes P7 and C7, and each containing an induced P5. A similar characterization is shown for the class of graphs which are dominated by an induced connected complete split graph. Motivated by these results, we study structural descriptions of some classes of (P7, C7)-free graphs. In particular, we give structural descriptions for the class of (P7, C7, C4, gem)-free graphs and for the class of (P7, C7, C4, diamond)-free graphs. Using these results, we show that every (P7, C7, C4, gem)-free graph G satisfies ?(G)?2?(G)?1, and that every (P7, C7, C4, diamond)-free graph H satisfies ?(H)?max{3,?(H)}. 2020 Elsevier B.V. Creator An entity primarily responsible for making the resource Choudum S.A.; Karthick T.; Belavadi M.M. Source A related resource from which the described resource is derived Discrete Mathematics, Vol-344, No. 3 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 2021-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1016/j.disc.2020.112244" target="_blank" rel="noreferrer noopener">https://doi.org/10.1016/j.disc.2020.112244</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85097379588&amp;doi=10.1016%2Fj.disc.2020.112244&amp;partnerID=40&amp;md5=719fe0d0ac0258211afcdc3c75705790" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85097379588&amp;doi=10.1016%2fj.disc.2020.112244&amp;partnerID=40&amp;md5=719fe0d0ac0258211afcdc3c75705790</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 Choudum S.A., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India; Karthick T., Computer Science Unit, Indian Statistical Institute, Chennai Centre, Chennai, 600029, India; Belavadi M.M., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India