ACADSTAFF UGM
| Title | : | Computing the Total H-irregularity Strength of Edge Comb Product of Graph |
| Author | : |
MOHAMAD FAHRULI WAHYUJATI (1) Dr.rer.nat. Yeni Susanti, S.Si., M.Si. (2) |
| Date | : | 15 2023 |
| Keyword | : | Total H-Irregular Strength, Edge Comb Product Graph, Cycle, Path Total H-Irregular Strength, Edge Comb Product Graph, Cycle, Path |
| Abstract | : | A simple undirected graph Γ = (VΓ, EΓ) admits an H-covering if every edge in EΓ belongs to at least one subgraph of Γ that is isomorphic to a graph H. For any graph Γ admitting H-covering, a total labelling β : VΓ ∪ EΓ −→ {1, 2, . . . , p} is called an H-irregular total p-labelling of Γ if every two different subgraphs H1 and H2 of Γ isomorphic to H have distinct weights where the weight wβ(K) of subgraph K of Γ is defined as wf (K) := X v∈VK f(v) + X e∈EK f(e). The smallest number p for which a graph Γ admits an H-irregular total p-labelling is called the total Hirregularity strength of Γ and is denoted by ths(Γ). In this paper, we determine the total H-irregularity strength of edge comb product of two graphs. |
| Group of Knowledge | : | Matematika |
| Original Language | : | English |
| Level | : | Internasional |
| Status | : |
Published
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| 1 |
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