Abdussakir, Abdussakir and Susanti, Elly and Turmudi, Turmudi and Jauhari, Mohammad Nafie and Ulya, Nanda M. (2018) On the distance spectrum and distance energy of complement of subgroup graphs of dihedral group. Journal of Physics: Conference Series, 1114 (1). pp. 16. ISSN 17426588

Text (full text)
3841.pdf  Published Version Available under License Creative Commons Attribution Noncommercial No Derivatives. Download (1MB)  Preview 
Abstract
Let G is a connected simple graph and V(G) = {v1, v2, ..., vp} is vertex set of G. The distance matrix of G is a matrix D(G) = [d ij ] of order p where [d ij ] = d(v i , v j ) is distance between v i and v j in G. The set of all eigenvalues of matrix D(G) together with their corresponding multiplicities is named the distance spectrum of G and denoted by spec D (G). The distance energy of G is ${E}_{D}(G)={\sum }_{i=1}^{p}{\lambda }_{i}$, where λi are eigenvalues of D(G). In the recent paper, the distance spectrum and distance energy of complement of subgroup graphs of dihedral group are determined.
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:  13 Dec 2018 02:35 
Downloads
Downloads per month over past year
Origin of downloads
Actions (login required)
View Item 