Karya
Judul/Title Generalized Arithmetic Staircase Graphs and their Total Edge Irregularity Strength
Penulis/Author Yeni Susanti (1) ; Prof. Dr. Sri Wahyuni, S.U. (2); Dr. Aluysius Sutjijana, M.Sc. (3); Dr. Sutopo, S.Si., M.Si. (4); Iwan Ernanto S.Si., M.Sc. (5)
Tanggal/Date 6 2022
Kata Kunci/Keyword
Abstrak/Abstract Let Γ=(VΓ,EΓ) be a simple undirected graph with finite vertex set VΓ and edge set EΓ. A total n-labeling α:VΓ∪EΓ→{1,2,…,n} is called a total edge irregular labeling on Γ if for any two different edges xy and x′y′ in EΓ the numbers α(x)+α(xy)+α(y) and α(x′)+α(x′y′)+α(y′) are distinct. The smallest positive integer n such that Γ can be labeled by a total edge irregular labeling is called the total edge irregularity strength of the graph Γ. In this paper, we provide the total edge irregularity strength of some asymmetric graphs and some symmetric graphs, namely generalized arithmetic staircase graphs and generalized double-staircase graphs, as the generalized forms of some existing staircase graphs. Moreover, we give the construction of the corresponding total edge irregular labelings
Rumpun Ilmu Matematika
Bahasa Asli/Original Language English
Level Internasional
Status
Dokumen Karya
No Judul Tipe Dokumen Aksi
1WoS-Generalized Arithmetic Staircase Graphs and Their Total Edge Irregularity Strengths-Web of Science Core Collection.pdfDokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian)
2WoS--Symmetry.pdfDokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian)
3Scimago-jurnal_2113813_7646eaa10f838c88d313ee04b9aeefaf.pdfDokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian)
4Scopus - Document details - Generalized Arithmetic Staircase Graphs and Their Total Edge Irregularity Strengths _ Signed in.pdfDokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian)
5BUKTI KORESPONDENSI - Symmetry - lengkap.pdf[PAK] Bukti Korespondensi Penulis
6Generalized Arithmetic Staircase Graphs and Their Total Edge Irregularity Strengths.pdf[PAK] Full Dokumen