TY - JOUR
T1 - Topological properties of cellular neural networks
AU - Imran, Muhammad
AU - Siddiqui, Muhammad Kamran
AU - Baig, Abdul Qudair
AU - Khalid, Waqas
AU - Shaker, Hani
N1 - Funding Information:
The authors are grateful to the anonymous referees for their valuable comments and suggestions that improved this paper. This research is supported by the Start-up Research Grant 2016 of United Arab Emirates University (UAEU), Al Ain, United Arab Emirates via Grant No. G00002233 and UPAR Grant of UAEU via Grant No. G00002590.
Publisher Copyright:
© 2019-IOS Press and the authors. All rights reserved.
PY - 2019
Y1 - 2019
N2 - Graph theory is a fundamental and energetic tool for designing and modeling a graph/network. There are certain topological indices based on degree, distance and eccentricity, etc. The topological indices essentially relate certain physio-concoction properties and bio-Activity to the corresponding synthetic and atomic structure. In this paper, our aim is to figure out degree-based topological indices mainly atom-bond connectivity (ABC), geometric-Arithmetic (GA), ABC4 and GA5 indices for cellular neural network (CNN) and give closed results of these indices for cellular neural network. Moreover, we also compute general Randi cindex R of CNN for = { 1 ,-1 , 1 2 ,-1 2 } only and give analytical closed form results. A 3D graph analysis for comparison of indices is also given.
AB - Graph theory is a fundamental and energetic tool for designing and modeling a graph/network. There are certain topological indices based on degree, distance and eccentricity, etc. The topological indices essentially relate certain physio-concoction properties and bio-Activity to the corresponding synthetic and atomic structure. In this paper, our aim is to figure out degree-based topological indices mainly atom-bond connectivity (ABC), geometric-Arithmetic (GA), ABC4 and GA5 indices for cellular neural network (CNN) and give closed results of these indices for cellular neural network. Moreover, we also compute general Randi cindex R of CNN for = { 1 ,-1 , 1 2 ,-1 2 } only and give analytical closed form results. A 3D graph analysis for comparison of indices is also given.
KW - Molecular descriptor
KW - atom bond connectivity index
KW - cellular neural network
KW - general Randić index
KW - geometric arithmetic index
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U2 - 10.3233/JIFS-181813
DO - 10.3233/JIFS-181813
M3 - Article
AN - SCOPUS:85073759379
SN - 1064-1246
VL - 37
SP - 3605
EP - 3614
JO - Journal of Intelligent and Fuzzy Systems
JF - Journal of Intelligent and Fuzzy Systems
IS - 3
ER -