TY - JOUR
ID - 70875
TI - The F–Index for some Special Graphs and some Properties of the F–Index
JO - Iranian Journal of Mathematical Chemistry
JA - IJMC
LA - en
SN - 2228-6489
AU - Yousefi, A.
AU - Iranmanesh, A.
AU - Dobrynin, A. A.
AU - Tehranian, A.
AD - Department of Mathematics, Science and Research Branch, Islamic Azad University,
P. O. Box 14515 – 1775, Tehran, Iran
AD - Tarbiat Modares University
AD - Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk 630090, Russia
AD - Islamic Azad University
Y1 - 2018
PY - 2018
VL - 9
IS - 3
SP - 213
EP - 225
KW - Forgotten topological index
KW - Edge switching
KW - Edge moving
KW - Edge separating
KW - k–apex tree
DO - 10.22052/ijmc.2018.126298.1355
N2 - The "forgotten topological index" or "F–index" has been introduced by Furtula and Gutman in 2015. The F–index of a (molecular) graph is defined as the sum of cubes of the vertex degrees of the graph. In this paper, we compute this topological index for some special graphs such as Wheel graph, Barbell graph and Friendship graph. Moreover, the effects on the F–index are observed when some operations such as edge switching, edge moving and edge separating are applied to the graphs. Finally, we investigate degeneracy of F–index for small graphs.
UR - https://ijmc.kashanu.ac.ir/article_70875.html
L1 - https://ijmc.kashanu.ac.ir/article_70875_a7168a9c32e5ec25f431f0474ad9c70f.pdf
ER -