On walk domination: Between different types of walks and $m_3$-path

Hangdi Chen, Yuhan Ma, Qingjie Ye

Given two non-adjacent vertices \( u \) and \( v \), we say a $uv$-walk \( W \) dominates a $uv$-walk \( W' \) if every internal vertex of \( W' \) is adjacent to some internal ver…