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

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 spe...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 1028; no. 1; pp. 12111 - 12115
Main Authors Abdussakir, Muzakir, Marzuki, C C
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.06.2018
Subjects
Conjugates
Eigenvalues
Group theory
Physics
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Summary: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.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1028/1/012111