ACADSTAFF UGM
| Title | : | Generalized Arithmetic Staircase Graphs and their Total Edge Irregularity Strength |
| Author | : |
Dr.rer.nat. Yeni Susanti, S.Si., M.Si. (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) |
| Date | : | 6 2022 |
| Keyword | : | labeling; total edge irregularity strength; generalized arithmetic staircase graph labeling; total edge irregularity strength; generalized arithmetic staircase graph |
| 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 |
| Group of Knowledge | : | Matematika |
| Original Language | : | English |
| Level | : | Internasional |
| Status | : |
Published
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| No | Title | Action |
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| 1 |
WoS-Generalized Arithmetic Staircase Graphs and Their Total Edge Irregularity Strengths-Web of Science Core Collection.pdf
Document Type : Dokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian)
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| 2 |
WoS--Symmetry.pdf
Document Type : Dokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian)
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| 3 |
Scimago-jurnal_2113813_7646eaa10f838c88d313ee04b9aeefaf.pdf
Document Type : Dokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian)
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| 4 |
Scopus - Document details - Generalized Arithmetic Staircase Graphs and Their Total Edge Irregularity Strengths _ Signed in.pdf
Document Type : Dokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian)
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| 5 |
BUKTI KORESPONDENSI - Symmetry - lengkap.pdf
Document Type : [PAK] Bukti Korespondensi Penulis
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| 6 |
Generalized Arithmetic Staircase Graphs and Their Total Edge Irregularity Strengths.pdf
Document Type : [PAK] Full Dokumen
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