## A Note On Set-Indexed Graphs

Publication Type : Journal Article

Publisher : Journal of Discrete Mathematical Sciences and Cryptography

Source : Journal of Discrete Mathematical Sciences and Cryptography, Taru Publications, Volume 18, p.31-40 (2015)

Keywords : Finite set, Graceful graphs, Graph G, Graph theory, Graphic methods, New results, Nonempty subsets, Set-indexed graphs, Set-sequential graphs, Symmetric difference

Campus : Coimbatore

School : School of Engineering

Department : Mathematics

Year : 2015

Abstract : A set-indexer [1] of the graph G is an assignment of distinct subsets of a finite set X to the vertices of the graph, where the sets on the edges are obtained as the symmetric differences of the sets assigned to their end vertices which are also distinct. A set-indexer is called a set-sequential if sets on the vertices and edges are distinct and together form the set of all nonempty subsets of X. A set-indexer is called a set-graceful if all the nonempty subsets of X are obtained on the edges. A graph is called set-sequential (set-graceful) if it admits a set-sequential (set-graceful) labeling. The objective of this note is to report some new results, open problems and conjectures in relation to set-indexed graphs. © 2015, © Taru Publications.URL: http://www.tandfonline.com/doi/abs/10.1080/09720529.2013.867637#abstract

Cite this Research Publication : K. Abhishek, “A Note On Set-Indexed Graphs”, Journal of Discrete Mathematical Sciences and Cryptography, vol. 18, pp. 31-40, 2015.