@article{Chen2026, 
author = {Yuan Chen and Chi Fan and Pei Sun},
title = {P    5  -factors in line graphs of trees},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {2},
pages = {4890-4901},
keywords = {path factor, line graph, tree, algorithm},
url = {https://www.sciopen.com/article/10.3934/math.2026200},
doi = {10.3934/math.2026200},
abstract = {Let        A   be a set of connected graphs. A graph    G has an        A  -factor if    G has a spanning subgraph    H such that each component of    H is isomorphic to one of the members in        A  . In this paper, we give a necessary and sufficient condition for the existence of        P    5  -factors in line graphs of trees. Then we present an algorithm to search for a        P    5  -factor in the line graph of a tree.}
}