TY - JOUR
ID - 102000
TI - A Multiplicative Version of Forgotten Topological Index
JO - Mathematics Interdisciplinary Research
JA - MIR
LA - en
SN - 2538-3639
AU - Yousefi, Asghar
AU - Iranmanesh, Ali
AU - Dobrynin, Andrey
AU - Tehranian, Abolfazl
AD - Department of Mathematics, Science and Research Branch, Islamic Azad University,
Tehran, Iran
AD - Department of Mathematics, Tarbiat Modares University,
Tehran, Iran
AD - Sobolev Institute of Mathematics,
Siberian Branch of the Russian Academy of Sciences,
Novosibirsk, Russia
AD - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
Y1 - 2019
PY - 2019
VL - 4
IS - 2
SP - 193
EP - 211
KW - topological index
KW - multiplicative forgotten topological index
KW - Graph operations
KW - subdivision graphs
KW - vertex – semitotal graphs
DO - 10.22052/mir.2019.176557.1126
N2 - In this paper, we present upper bounds for the multiplicative forgotten topological index of several graph operations such as sum, Cartesian product, corona product, composition, strong product, disjunction and symmetric difference in terms of the F–index and the first Zagreb index of their components. Also, we give explicit formulas for this new graph invariant under two graph operations such as union and Tensor product. Moreover, we obtain the expressions for this new graph invariant of subdivision graphs and vertex – semitotal graphs. Finally, we compare the discriminating ability of indices.
UR - https://mir.kashanu.ac.ir/article_102000.html
L1 - https://mir.kashanu.ac.ir/article_102000_e2b2c1124183c3b89ccf0bc81f103cf6.pdf
ER -