TY - JOUR
ID - 26292
TI - Some chemical indices related to the number of triangles
JO - Transactions on Combinatorics
JA - TOC
LA - en
SN - 2251-8657
AU - Wali, Mihrigul
AD - School of Mathematical Sciences, Xiamen University, 361005, Fuzhou, Xiamen, P. R. China.
Y1 - 2023
PY - 2023
VL - 12
IS - 1
SP - 27
EP - 35
KW - Zagreb index
KW - Lanzhou index
KW - Forgotten index
KW - Estrada index
KW - Triangles
DO - 10.22108/toc.2022.128093.1843
N2 - Many chemical indices have been invented in theoretical chemistry, such as the Zagreb index, the Lanzhou index, the forgotten index, the Estrada index etc. In this paper, we show that the first Zagreb index is only related to the sum of the number of triangles in a graph and the number of triangles in its complement. Moreover, we determine the sum of the first and second Zagreb index, the Lanzhou index and the forgotten index for a graph and its complement in terms of the number of triangles in a graph and the number of triangles in its complement. Finally, we estimate the Estrada index in terms of order, size, maximum degree and the number of triangles.
UR - https://toc.ui.ac.ir/article_26292.html
L1 - https://toc.ui.ac.ir/article_26292_c95daa4343854df9a61b2113d46444ca.pdf
ER -