The independence polynomial of n-th central graph of dihedral groups

• Main Authors: Najmuddin, Nabilah, Sarmin, Nor Haniza, Erfanian, Ahmad, Rahmat, Hamisan
• Format: Article
• Language: English
• Published: Penerbit UTM Press 2017
• Subjects: Q Science (General)
• Online Access: http://eprints.utm.my/id/eprint/81280/1/NabilahNajmuddin2017_TheIndependencePolynomialOfNThCentral.pdf; http://eprints.utm.my/id/eprint/81280/; https://mjfas.utm.my/index.php/mjfas/article/view/550/pdf

An independent set of a graph is a set of pairwise non-adjacent vertices while the independence number is the maximum cardinality of an independent set in the graph. The independence polynomial of a graph is defined as a polynomial in which the coefficient is the number of the independent set in the graph. Meanwhile, a graph of a group G is called n-th central if the vertices are elements of G and two distinct vertices are adjacent if they are elements in the n-th term of the upper central series of G. In this research, the independence polynomial of the n-th central graph is found for some dihedral groups.