SECOND ZAGREB INDEX OF k-SPLITTING GRAPH OF GENERALIZED TRANSFORMATION GRAPHS

Vidya S. Raikar¹, Shailaja S. Shirkol², Preeti B. Jinagouda³

¹Department of Mathematics, Government First Grade College, Dharwad – 580 008, India
^2,3Department of Mathematics, SDM College of Engineering and Technology, Dharwad – 580002, India
^{1, 2}Visvesveraya Technological University, Belagavi – 590018

Abstract: Recently, in [18] Raikar et al. obtained explicit formulae for the first Zagreb index and coindex of k-splitting of generalized transformation graphs and their complement. The aim of this paper is to obtain explicit formulae for the second Zagreb index and coindex of k-splitting of generalized transformation graphs spl_k(G^ab), and followed by this we also obtained analogous expressions for the complements of  spl_k(G^ab).

2010 Mathematics Subject Classifications:  05C05, 05C07, 05C35.

VOLUME 9 ISSUE 4 2025 Page No.: 57 – 73

DOI: https://doi.org/10.71058/jodac.v9i5006