THE CORDIAL LABELING FOR THE CARTESIAN PRODUCT BETWEEN PATHS AND CYCLES

Mohammed M. Ali Al-Shamiri; A. Elrokh; Yasser El –Mashtawye; S. Euat Tallah

doi:10.29121/granthaalayah.v8.i3.2020.166

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THE CORDIAL LABELING FOR THE CARTESIAN PRODUCT BETWEEN PATHS AND CYCLES

Mohammed M. Ali Al-Shamiri, A. Elrokh, Yasser El –Mashtawye, S. Euat Tallah

International Journal of Research -GRANTHAALAYAH2020doi:10.29121/granthaalayah.v8.i3.2020.166

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Abstract

A graph is said to be cordial if it has a 0-1 labeling that satisfies certain properties. In this paper we show the Cartesian product of a path and a cycle or vice versa are always cordial under some conditions. Also, we prove that the Cartesian product of two paths is cordial.

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Authors

Mohammed M. Ali Al-Shamiri#1 A. Elrokh#2 Yasser El –Mashtawye#3 S. Euat Tallah#4

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