TY - JOUR
T1 - Szeged Dimension and $PI_v$ Dimension of Composite Graphs
TT -
JF - IJMSI
JO - IJMSI
VL - 13
IS - 2
UR - http://ijmsi.ir/article-1-796-en.html
Y1 - 2018
SP - 45
EP - 57
KW - Szeged dimension
KW - PI$_v$ dimension
KW - composite graphs
KW - strongly regular graph.
N2 - Let $G$ be a simple connected graph. In this paper, Szeged dimension and PI$_v$ dimension of graph $G$ are introduced. It is proved that if $G$ is a graph of Szeged dimension $1$ then line graph of $G$ is 2-connected. The dimensions of five composite graphs: sum, corona, composition, disjunction and symmetric difference with strongly regular components is computed. Also explicit formulas of Szeged and PI$_v$ indices for these composite graphs is obtained.
M3
ER -