TY - JOUR
ID - 34109
TI - Wiener Polarity Index of Tensor Product of Graphs
JO - Mathematics Interdisciplinary Research
JA - MIR
LA - en
SN - 2538-3639
AU - Mogharrab, Mojgan
AU - Sharafdini, Reza
AU - Musavi, Somayeh
AD - Persian Gulf University
AD - Mathematics House of Bushehr
Y1 - 2016
PY - 2016
VL - 1
IS - 2
SP - 305
EP - 316
KW - topological index
KW - Wiener polarity index
KW - tensor product
KW - Graph
KW - Distance
DO - 10.22052/mir.2016.34109
N2 - Mathematical chemistry is a branch of theoretical chemistry for discussion and prediction of the molecular structure using mathematical methods without necessarily referring to quantum mechanics. In theoretical chemistry, distance-based molecular structure descriptors are used for modeling physical, pharmacologic, biological and other properties of chemical compounds. The Wiener Polarity index of a graph G is denoted by WP(G) is the number of unordered pairs of vertices of distance 3. The Wiener polarity index is used to demonstrate quantitative structure-property relationships in a series of acyclic and cycle-containing hydrocarbons. Let G,H be two simple connected graphs. Then the tensor product of them is denoted by G⨂H whose vertex set is V(G⨂H)=V(G)×V(H) and edge set is E(G⨂H)={(a,b)(c,d)| ac∈E(G) ,bd∈E(H) }. In this paper, we aim to compute the Wiener polarity index of G⨂H which was computed wrongly in [J. Ma, Y. Shi and J. Yue, The Wiener Polarity Index of Graph Products, Ars Combin., 116 (2014) 235-244].
UR - https://mir.kashanu.ac.ir/article_34109.html
L1 - https://mir.kashanu.ac.ir/article_34109_2979030b6f901a9245e59b804f53aab3.pdf
ER -