Structure and coloring of a family of ($P_7,C_5$)-free graphs

Ran Chen, Baogang Xu

Let $P_t$ and $C_t$ be a path and a cycle on $t$ vertices, respectively. In 2021, Choudum {\em et al.} [Disc. Math. 344 (2021) 112244] determined the structures of $(P_7,C_7,C_4$,…