TITLE:
On Matching Characterization of P m ∪T( 1,3,n )
AUTHORS:
Shichang Shen
KEYWORDS:
T-Shape Tree, Matching Polynomial, Matching Characterization
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.15 No.4,
April
17,
2025
ABSTRACT: We consider the problem of graphs characterization by its matching polynomial. In the paper, we show that
P
m
∪T(
1,3,n
)
are determined by its matching polynomial iff
m
is even or 3 and
n≠3,6,11
.