TY - JOUR
ID - 5236
TI - Wiener, Szeged and vertex PI indices of regular tessellations
JO - Iranian Journal of Mathematical Chemistry
JA - IJMC
LA - en
SN - 2228-6489
AU - MANUEL, P.
AU - RAJASINGH, I.
AU - AROCKIARAJ, M.
AD - Kuwait University, Safat, Kuwait
AD - Department of Mathematics, Loyola College, Chennai 600 034, India
AD - Loyola College, India
Y1 - 2012
PY - 2012
VL - 3
IS - 2
SP - 165
EP - 183
KW - Wiener index
KW - Szeged index
KW - PI index
KW - Embedding
KW - Congestion
KW - Regular plane tessellations
DO - 10.22052/ijmc.2012.5236
N2 - A lot of research and various techniques have been devoted for finding the topological descriptor Wiener index, but most of them deal with only particular cases. There exist three regular plane tessellations, composed of the same kind of regular polygons namely triangular, square, and hexagonal. Using edge congestion-sum problem, we devise a method to compute the Wiener index and demonstrate this method to all classes of regular tessellations. In addition, we obtain the vertex Szeged and vertex PI indices of regular tessellations.
UR - http://ijmc.kashanu.ac.ir/article_5236.html
L1 - http://ijmc.kashanu.ac.ir/article_5236_6f501380f518c50662d028c90adb0160.pdf
ER -