Detour spectrum and detour energy of conjugate graph complement of dihedral group

Abdussakir, Abdussakir and Muzakir, Muzakir and Marzuki, Cory Corazon (2018) Detour spectrum and detour energy of conjugate graph complement of dihedral group. Journal of Physics: Conference Series, 1028 (012111). pp. 1-5. ISSN 1742-6588

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Abstract

Study of graph from a group has become an interesting topic until now. One of the topics is spectra of a graph from finite group. Spectrum of a finite graph is defined as collection of all distinct eigenvalues and their algebraic multiplicity of its matrix. The most related topic in the study of spectrum of finite graph is energy. Energy of a finite graph is defined as sum of absolute value of all its eigenvalues. In this paper, we study the spectrum and energy of detour matrix of conjugate graph complement of dihedral group. The main result is presented as theorems with complete proof.

Item Type: Journal Article
Subjects: 01 MATHEMATICAL SCIENCES > 0101 Pure Mathematics > 010104 Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)
01 MATHEMATICAL SCIENCES > 0101 Pure Mathematics > 010105 Group Theory and Generalisations
Divisions: Faculty of Mathematics and Sciences > Department of Mathematics
Depositing User: Abdussakir Abdussakir
Date Deposited: 02 Jul 2018 10:03

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