ACADSTAFF UGM
| Title | : | Total edge irregularity strength of book graphs and double 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 | : | 19 2019 |
| Keyword | : | Total edge irregularity strength, edge irregular total k-labeling, book graph, double book graph. Total edge irregularity strength, edge irregular total k-labeling, book graph, double book graph. |
| Abstract | : | Let G(V; E) be a finite, simple and undirected graph with a vertex set V and an edge set E. An edge irregular total k-labeling is a map f : V [ E ! f1; 2; : : : ; kg such that for any two dierent edges xy and x0y0 in E, !(xy) , !(x0y0) where !(xy) = f (x) + f (y) + f (xy): The minimum k for which the graph G admits an edge irregular total k-labeling is called the total edge irregularity strength of G, denoted by tes(G). In this paper, we show the exact value of the total edge irregularity strength of any book graph of m sides and n sheets Bn(Cm) and of any double book graph of m sides and 2n sheets 2Bn(Cm). |
| Group of Knowledge | : | Matematika |
| Original Language | : | English |
| Level | : | Internasional |
| Status | : |
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