@article {
author = {Deutsch, E. and Klavžar, S.},
title = {M-polynomial and Degree-based Topological Indices},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {6},
number = {2},
pages = {93-102},
year = {2015},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2015.10106},
abstract = {Let $G$ be a graph and let $m_{ij}(G)$, $i,jge 1$, be the number of edges $uv$ of $G$ such that ${d_v(G), d_u(G)} = {i,j}$. The {em $M$-polynomial} of $G$ is introduced with $displaystyle{M(G;x,y) = sum_{ile j} m_{ij}(G)x^iy^j}$. It is shown that degree-based topological indices can be routinely computed from the polynomial, thus reducing the problem of their determination in each particular case to the single problem of determining the $M$-polynomial. The new approach is also illustrated with examples.},
keywords = {Degree-based topological index,Zagreb index,Randic index,Graph polynomial},
url = {https://ijmc.kashanu.ac.ir/article_10106.html},
eprint = {https://ijmc.kashanu.ac.ir/article_10106_9757adf6f41e068e07ffdc82bc9d1b38.pdf}
}