On $E_4$-Cordial Graphs

Abstract

In this paper, we prove that the graphs $P_n$ ($n\ge 3$), $C_n$ ($n\ge 3$, $n\not\equiv 4(\mathrm{mod}8)$), and $K_n$ ($n\ge 3$) are $E_4$-cordial graphs. Additionally, we show that every graph of $\ge 3$ is a subgraph of an $E_4$-cordial graph.