TY - JOUR
ID - 683880
TI - The Zagreb-coindex of Four Operations on Graphs
JO - Fuzzy Optimization and Modeling Journal
JA - FOMJ
LA - en
SN -
AU - Ghorbaninejad, Mobina
AD - Department of Mathematics, Allame Tabarsi Institute, Qaemshahr, Iran
Y1 - 2021
PY - 2021
VL - 2
IS - 2
SP - 41
EP - 45
KW - Graph
KW - Zagreb–index
KW - F–sum
KW - Zagreb-coindex
DO - 10.30495/fomj.2021.1931773.1030
N2 - In 1972, within a study of the structure-dependency of total π-electron energy (E), it was shown that E depends on the sum of squares of the vertex degrees of the molecular graph (later named first Zagreb index), and thus provides a measure of the branching of the carbon-atom skeleton. Topological indices are found to be very useful in chemistry, biochemistry and nanotechnology in isomer discrimination, structure–property relationship, structure-activity relationship and pharmaceutical drug design. In chemical graph theory, a topological index is a number related to a graph which is structurally invariant. One of the oldest most popular and extremely studied topological indices are well–known Zagreb indices. In a (molecular) graph G, the Zagreb topological index is equal to the sum of squares of the degrees of vertices of G and the Zagreb coindex is defined as the sum of a graph’s vertex degrees which is not adjacent. In this paper, we obtain the Zagreb coindex of four operations on graphs.
UR - http://fomj.qaemiau.ac.ir/article_683880.html
L1 - http://fomj.qaemiau.ac.ir/article_683880_bedc36f9d141565eb584e694c585fd4a.pdf
ER -