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 Crossing numbers of complete bipartite graphs and complete graphs Subject The topic of the resource 68R10; Crossing number mathematics subject classifications: 05C62; Non-planar graphs; Planar graphs Description An account of the resource The crossing number of a graph is the smallest number of two edge crossings over all planar representations of the graph. In this paper, we investigate the crossing numbers of complete bipartite and complete graphs. Further, we identify optimal drawings and present results on crossing numbers of these classes of graphs. In addition, Zarankiewicz's conjecture on complete bipartite graphs and Guy's conjecture on complete graphs are verified to be true. 2018 Sanjith Hebbar, Tabitha Agnes Mangam. Creator An entity primarily responsible for making the resource Hebbar S.; Mangam T.A. Source A related resource from which the described resource is derived International Journal of Engineering and Technology(UAE), Vol-7, No. 4, pp. 2996-3000. Publisher An entity responsible for making the resource available Science Publishing Corporation Inc Date A point or period of time associated with an event in the lifecycle of the resource 2018-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.14419/ijet.v7i4.13682" target="_blank" rel="noreferrer noopener">https://doi.org/10.14419/ijet.v7i4.13682</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85057851670&amp;doi=10.14419%2Fijet.v7i4.13682&amp;partnerID=40&amp;md5=037080684661e4d87fae1590f6fbdc92" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85057851670&amp;doi=10.14419%2fijet.v7i4.13682&amp;partnerID=40&amp;md5=037080684661e4d87fae1590f6fbdc92</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 2227524X 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 Hebbar S., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, India; Mangam T.A., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, India