ACADSTAFF UGM
| Title | : | Total Edge Irregularity Strength of Modified Book Graphs |
| Author | : |
LUCIA RATNASARI (1) Prof. Dr. Sri Wahyuni, S.U. (2) Dr.rer.nat. Yeni Susanti, S.Si., M.Si. (3) Dr. Diah Junia Eksi Palupi, S.U. (4) |
| Date | : | 0 2023 |
| Keyword | : | Total edge irregularity strength; Edge irregular total k-labeling; Book graphs; Wheel book graphs; Complete book graphs. Total edge irregularity strength; Edge irregular total k-labeling; Book graphs; Wheel book graphs; Complete book graphs. |
| Abstract | : | Let G(V, E) be a graph with vertex set V and edge set E. A map of f from the union of a vertex set and edge sets to {1, 2, . . . , k} such that for each different edge uv and u 0 v 0 have different weights is called an irregular total edge k-graph labeling G(V, E). The weight of the edge uv is the sum of the edge label uv, the vertex label u, and the vertex label v. The smallest k so that the graph G(V, E) can be labeled with the edge irregular total k labeling is called the total edge irregularity strength of G(V, E) and is denoted by tes(G). Book graphs Bd(G) have d copies of graph G with a common edge, and the common edge is the same fixed one in all copies of G. We modify the book graphs by replacing G with a wheel graph or a complete graph to obtain wheel book graphs or complete book graphs, respectively. In this paper, we determine the total edge irregularity strength of modified book graphs: wheel book graphs and complete book graphs. |
| Group of Knowledge | : | Matematika |
| Original Language | : | English |
| Level | : | Internasional |
| Status | : |
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08_47(4) (1).pdf
Document Type : [PAK] Full Dokumen
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