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2020•AIP conference proceedingsOpen access

The incidence matrix of the non-normal subgroup graph for some dihedral groups

Nabilah Fikriah Rahin, Nor Haniza Sarmin, Sheila Ilangovan

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Abstract

There are various types of matrices associated with graph in the field of graph theory. A graph can be represented in the form of its adjacency matrix or its incidence matrix. These matrices have their own way of representing a complex graph which have many vertices, edges and directions. In this paper, the incidence matrices of the non-normal subgroup graphs are determined for some dihedral groups.

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There are various types of matrices associated with graph in the field of graph theory. A graph can be represented in the form of its adjacency matrix or its incidence matrix. These matrices have their own way of representing a complex graph which have many vertices, edges and directions. In this paper, the incidence matrices of the non-normal subgroup graphs are determined for some dihedral groups.

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Available abstract

There are various types of matrices associated with graph in the field of graph theory. A graph can be represented in the form of its adjacency matrix or its incidence matrix. These matrices have their own way of representing a complex graph which have many vertices, edges and directions. In this paper, the incidence matrices of the non-normal subgroup graphs are determined for some dihedral groups.

Key concepts: Incidence matrix, Adjacency matrix, Graph energy, Dihedral group, Degree matrix, Combinatorics, Mathematics, Graph

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