Journal of Prime Research in Mathematics

# Degree-based topological indices and polynomials of cellulose

Abdul Jalil M. Khalaf$$^a$$, M.C. Shanmukha$$^{b,*}$$, A. Usha$$^c$$, K.C. Shilpa$$^d$$, Murat Cancan$$^e$$
$$^a$$Department of Mathematics, Faculty of Computer Science and Mathematics University of Kufa, Najaf, Iraq.
$$^b$$Department of Mathematics, Jain Institute of Technology, Davanagere-577003, Karnataka, India.
$$^c$$Department of Mathematics, Alliance College of Engineering and Design, Bangalore-562106, Karnataka, India
$$^d$$Department of Computer Science & Engg, Bapuji Institute of Engineering and Technology, Davanagere-577004, Karnataka, India.
$$^e$$Faculty of Education, Van Yüzüncü Yil University, Van, Turkey.
Correspondence should be addressed to: M.C. Shanmukha at shanmukhamc@jitd.in

### Abstract

This work attempts to compute cellulose’s chemical structure using topological indices based on the degree and its neighbourhood. The study of graphs using chemistry attracts a lot of researchers globally because of its enormous applications. One such application is discussed in this work, where the structure of cellulose is considered for which the computation of topological indices and analysis of the same are carried out. A polymer is a repeated chain of the same molecule stuck together. Glucose is a natural polymer also called, Polysaccharide. The diet of the humans include fibre which contains cellulose but direct consumption of the same may not be digestible by them.

#### Keywords:

Topological index, Polynomials, Cellulose, Cheminformatics.