A Study on the M-Polynomials and Degree Based Topological Indices of Graphene
Santhosh Kumar C G *
PG Research Department of Mathematics, Mary Matha Arts Science College, Mananthavady, Wayanad, Kerala, India and Department of Mathematics, W M O Arts & Science College, Muttil, Wayanad, Kerala, India.
Bindhu K Thomas
PG Research Department of Mathematics, Mary Matha Arts Science College, Mananthavady, Wayanad, Kerala, India.
*Author to whom correspondence should be addressed.
Abstract
The exceptional properties of graphene have sparked intense research interest necessitating a deeper understanding of its molecular architecture and chemical behavior. Degree-based topological indices are mathematical descriptors used in theoretical chemistry and materials science to quantify the structural properties of molecules and materials. This study explores the application of some degree-based topological indices and the M-polynomial to unravel graphene’s chemical properties. Our investigation of some novel topological indices, offers unique insights into the structure-property relationships governing graphene’s behavior. These findings highlight the versatility of degree-based topological methods in advancing materials science research and facilitating the development of graphene-based technologies. By harnessing the power of mathematical modeling, this work will help future material design and engineering initiatives.
Keywords: Topological indices, chemical graph theory, M-polynomials