TY  - JOUR
T1  - Effect of Atom Bond Connectivity index on family of Graphs under Transformation
AU  - Ahmad, Maqsood
AU  - Irshad, Rauf
AU  - Hussain, Muhammad
PY  - 2025
DA  - October
Y2  - 2025
DO  - 10.15672/hujms.1509270
JF  - Hacettepe Journal of Mathematics and Statistics
PB  - Hacettepe University
WT  - DergiPark
SN  - 2651-477X
SP  - 1
EP  - 14
LA  - en
AB  - Graph theory is an effective tool for modeling and devising an integrated system through a network.The nodes of the system behave as the vertices, and the connections amongst them behave as the edgesof the graph representing the system under consideration. The graph is the best manifestation of thesystem by depicting it as a topological structure. The most studied graph invariant is the atom-bondconnectivity index to identify and investigate the topological aspects of interconnection networks. Inthis work, firstly, we identify vertices for different families of n-vertex networks with complete graphsof any order to obtain a new transformation network. Analogously, we get a variety of transformedgraphs. Finally, we provide the extremal results regarding the ABC index for the transformationgraphs under discussion.
KW  - Atom Bond Connectivity index
KW  - Extremal graph;
KW  - Networks;
KW  - Graph invariants;
KW  - Transformed graphs;
KW  - Complete Graph
CR  - [1] A. Ali and D. Dimitrov, On the extremal graphs with respect to bond incident degree
indices, Disc. Appl. Math. 238, 32-40, 2018.
UR  - https://doi.org/10.15672/hujms.1509270
L1  - https://dergipark.org.tr/en/download/article-file/4040031
ER  -