TY - JOUR
ID - 10106
TI - M-polynomial and Degree-based Topological Indices
JO - Iranian Journal of Mathematical Chemistry
JA - IJMC
LA - en
SN - 2228-6489
AU - Deutsch, E.
AU - Klavžar, S.
AD - Polytechnic Institute of New York University
AD - Faculty of Mathematics and Physics, University of Ljubljana, Slovenia
Y1 - 2015
PY - 2015
VL - 6
IS - 2
SP - 93
EP - 102
KW - Degree-based topological index
KW - Zagreb index
KW - Randic index
KW - Graph polynomial
DO - 10.22052/ijmc.2015.10106
N2 - 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.
UR - https://ijmc.kashanu.ac.ir/article_10106.html
L1 - https://ijmc.kashanu.ac.ir/article_10106_9757adf6f41e068e07ffdc82bc9d1b38.pdf
ER -