On the total H-irregularity strength of graphs: A new notion
IOP Conf. Series: Journal of Physics: Conf. Series 855 (2017) 012004
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| Main Authors: | , , , |
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| Format: | Academic Paper |
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2018-02-28T02:51:12Z.
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| LEADER | 01998 am a22002653u 4500 | ||
|---|---|---|---|
| 001 | repository_unej_123456789_84424 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Agustin, Ika Hesti |e author |
| 500 | |a 1742-6588 | ||
| 500 | |a http://repository.unej.ac.id/handle/123456789/84424 | ||
| 700 | 1 | 0 | |a Dafik, Dafik |e author |
| 700 | 1 | 0 | |a Marsidi, Marsidi |e author |
| 700 | 1 | 0 | |a Albirri, Ermita Rizki |e author |
| 245 | 0 | 0 | |a On the total H-irregularity strength of graphs: A new notion |
| 260 | |c 2018-02-28T02:51:12Z. | ||
| 520 | |a IOP Conf. Series: Journal of Physics: Conf. Series 855 (2017) 012004 | ||
| 520 | |a A total edge irregularity strength of G has been already widely studied in many papers. The total -labeling is said to be a total edge irregular -labeling of the graph G if for every two di erent edges e 1 and e 2 , it holds w(e 1 ) 6 = w(e ), where w(uv) = f(u) +f(uv) +f(v), for e = uv. The minimum for which the graph G has a total edge irregular -labeling is called the total edge irregularity strength of G, denoted by tes(G). A natural extension of this concept is by considering the evaluation of the weight is not only for each edge but we consider the weight on each subgraph H G. We extend the notion of the total -labeling into a total H-irregular -labeling. The total -labeling is said to be a total H-irregular -labeling of the graph G if for H G, the total H-weights W(H) = P 2 v2V (H) f(v) + P f(e) are distinct. The minimum for which the graph G has a total H-irregular -labeling is called the total e2E(H) H-irregularity strength of G, denoted by tHs(G). In this paper we initiate to study the tHs of shackle and amalgamation of any graphs and their bound. | ||
| 546 | |a en | ||
| 690 | |a Total a-labeling | ||
| 690 | |a Total H-irregularity strength | ||
| 690 | |a shackle of any graph | ||
| 690 | |a amalgamation of any graph | ||
| 655 | 7 | |a Article |2 local | |
| 787 | 0 | |n http://repository.unej.ac.id/handle/123456789/84424 | |
| 856 | 4 | 1 | |u http://repository.unej.ac.id/handle/123456789/84424 |z Get Fulltext |