TY - JOUR
T1 - Computing the expected subtree number of random hexagonal and phenylene chains based on probability matrices
AU - Yang, Yu
AU - Jin, Bang Bang
AU - Lu, Mei
AU - Hui, Zhi Hao
AU - Zhao, Lu Xuan
AU - Wang, Hua
N1 - Publisher Copyright:
© 2023 Elsevier B.V.
PY - 2023/11/15
Y1 - 2023/11/15
N2 - With structural analysis and probability matrix, this paper studies the subtree number index (number of non-labeled subtrees) of random hexagonal and phenylene chains, and presents exact recursive formulas for the expected values of subtree number index of the random hexagonal and phenylene chains in terms of probability matrices, as applications, we obtain the subtree number of hexagonal linear chain, hexagonal helicence chain, phenylene linear chain and phenylene helicence chain. Moreover, the proposed matrix method also builds a bridge to explore the deep correlation between structural-based and distance-based topological indices, and provides important theoretical support for prediction new properties of chemical compounds.
AB - With structural analysis and probability matrix, this paper studies the subtree number index (number of non-labeled subtrees) of random hexagonal and phenylene chains, and presents exact recursive formulas for the expected values of subtree number index of the random hexagonal and phenylene chains in terms of probability matrices, as applications, we obtain the subtree number of hexagonal linear chain, hexagonal helicence chain, phenylene linear chain and phenylene helicence chain. Moreover, the proposed matrix method also builds a bridge to explore the deep correlation between structural-based and distance-based topological indices, and provides important theoretical support for prediction new properties of chemical compounds.
KW - Expected subtree number index
KW - Probability matrix
KW - Random hexagonal chain
KW - Random phenylene chain
UR - http://www.scopus.com/inward/record.url?scp=85164242394&partnerID=8YFLogxK
U2 - 10.1016/j.dam.2023.06.011
DO - 10.1016/j.dam.2023.06.011
M3 - Article
AN - SCOPUS:85164242394
SN - 0166-218X
VL - 339
SP - 184
EP - 201
JO - Discrete Applied Mathematics
JF - Discrete Applied Mathematics
ER -