Abstract

Excessive Index of Boron and Carbon-Like Nanotubes

Madhuvanthi S*1, **Sr. Jasintha Quadras2 and Shanthi A S3

1Department of Mathematics, Meenakshi College for Women, Chennai-24, INDIA. 2Principal, Maris Stella College, Vijayawada, Andhra Pradesh, INDIA. 3Department of Mathematics, Stella Maris College, Chennai-86, INDIA.

DOI : http://dx.doi.org/10.29055/jcms/1140

ABSTRACT

Structures, devices, and systems having novel properties and functions due to the arrangement of their atoms on the 1 to 100 nanometer scale. Many fields of endeavor contribute to nanotechnology, including molecular physics, materials science, chemistry, biology, computer science, electrical engineering, and mechanical engineering. The study of Excessive index of matching has a number of applications particularly in scheduling theory to complete a process in the minimum possible time. The minimum number of perfect matching that covers the edge set of a graph G is known as excessive index of G. In this paper, we determine the excessive index for Boron Triangular Nanotube, 𝑇𝑈𝐻𝐶6[2𝑝,𝑞] nanotube and 𝐻𝐶5𝐶7[𝑝,𝑞] nanotube.

Keywords :Nanotubes, Perfect Matching, Excessive Index.

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