Proceedings of the 2nd International Conference on Quran and Hadith Studies Information Technology and Media in Conjunction with the 1st International Conference on Islam, Science and Technology, ICONQUHAS & ICONIST, Bandung, October 2-4, 2018, Indonesia

Research Article

Color Laplacian and Color Signless Laplacian Energy of Complement of Subgroup Graph of Dihedral Group

Download19 downloads
  • @INPROCEEDINGS{10.4108/eai.2-10-2018.2295459,
        author={Abdussakir  Abdussakir and Mohammad Nafie Jauhari and Nabila  Umar and Lila Aryani Puspitasari},
        title={Color Laplacian and Color Signless Laplacian Energy of Complement of Subgroup Graph of Dihedral Group},
        proceedings={Proceedings of the 2nd International Conference on Quran and Hadith Studies Information Technology and Media in Conjunction with the 1st International Conference on Islam, Science and Technology,  ICONQUHAS \& ICONIST, Bandung, October 2-4, 2018, Indonesia},
        publisher={EAI},
        proceedings_a={ICONQUHAS},
        year={2020},
        month={5},
        keywords={color laplacian energy color signless laplacian enerdy subgroup graph dihedral group},
        doi={10.4108/eai.2-10-2018.2295459}
    }
    
  • Abdussakir Abdussakir
    Mohammad Nafie Jauhari
    Nabila Umar
    Lila Aryani Puspitasari
    Year: 2020
    Color Laplacian and Color Signless Laplacian Energy of Complement of Subgroup Graph of Dihedral Group
    ICONQUHAS
    EAI
    DOI: 10.4108/eai.2-10-2018.2295459
Abdussakir Abdussakir1,*, Mohammad Nafie Jauhari1, Nabila Umar1, Lila Aryani Puspitasari1
  • 1: UIN Maulana Malik Ibrahim, Department of Mathematics, Malang, Indonesia
*Contact email: sakir@mat.uin-malang.ac.id

Abstract

Laplacian and signless laplacian energy of a finite graph is the most interesting topics on areas of energy of a graph. The new concept of energy of a graph is color energy and furthermore color laplacian and color signless laplacian energy. In this paper, the formulae of color laplacian and color signless laplacian energy of complement of subgroup graphs of dihedral group are determined. Color laplacian and color signless laplacian spectrum of these graphs are also computed.