@Article{JMS-58-275,
author = {Tian , GuixianWu , JunxingCui , Shuyu and Sun , Huilu},
title = {A Note on the Determinant of a Special Class of $Q$-Walk Matrices},
journal = {Journal of Mathematical Study},
year = {2025},
volume = {58},
number = {3},
pages = {275--285},
abstract = {<p style="text-align: justify;">For a graph $G$ of order $n,$ its $Q$-walk matrix is defined by $W_Q(G) = [e,Qe,···,Q^{n−1}e],$ where $Q$ is the signless Laplacian matrix of $G$ and $e$ denotes the all-one column vector. Let $G \circ P_k$ represent the rooted product graph of $G$ and a path $P_k.$ In
this note, we establish the relationship between determinants of $W_Q(G)$ and $W_Q(G \circ P_k
)$ for $k=2,3.$</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v58n3.25.02},
url = {http://global-sci.org/intro/article_detail/jms/24408.html}
}