Coloring of ($P_5$, $4$-wheel)-free graphs

Arnab Char, T. Karthick

For a graph $G$, $\chi (G)$ $(\omega (G))$ denote its chromatic (clique) number. A $P_5$ is the chordless path on five vertices, and a $4$-$wheel$ is the graph consisting of a chordless cycl…