Cordial labeling for the sum and union of the second power of paths and stars

Abstract

A graph is said to be cordial if it has 0-1 labeling that satisfies certain conditions. In this paper we present necessary and sufficient conditions for cordial labeling applied to the sum of the second power of the path, P² _n with the star K_1,m. Moreover, a similar result is established for the union P² _n U K_1,m. © 2018 Utilitas Mathematica Publishing Inc. All rights reserved.