Graphs with $\{P_3,P_4,P_5\}$-factors in terms of size and spectral radius

Zahoor Iqbal Bhat, S. Pirzada

Let $G$ be a connected graph of order $n$. A $\{P_3,P_4,P_5\}$-factor is a spanning subgraph $H$ of $G$ such that every component of $H$ is isomorphic to an element of $\{P_3,P_4,P…