Daoud, Jamal I and Wamiliana, Wamiliana and Usman, Mustofa and Asmiati, Asmiati
(2010)
*IIREGULAR TOTAL LABELING ON COMPLETE BIPARTITE GRAPH AND UNION OF COMPLETE BIPARTITE GRAPHS.*
Far East Journal of Mathematical Sciences (FJMS), 39 (1).
pp. 129-135.
ISSN 0972-0871

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## Abstract

Given a graph G=(VE) with vertex set V and edge set E, we define a labeling as a function, where weight of edge xy is written as w(x,y). Total labeling is the sum of xy-label and labels of the vertices that incident to x, thus w(x,y)=λ(x)+λ(y)λ(xy). λ labeling is called as edge irregular total k-labeling of the graph G if for every two different edges e and f of G, w(e)≠w(f). The smallest k in which graph G can be labeled as edge irregular total k-labeling is called as edge total irregularity strength and is noted as tes(G). In this research, we are interested in finding tes(G) of the union of complete bipartite graphs K_1,q and K_2,q.

Item Type: | Article |
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Subjects: | Q Science > QA Mathematics |

Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA) > Prodi Matematika |

Depositing User: | WAMILIANA |

Date Deposited: | 25 Apr 2018 08:01 |

Last Modified: | 26 Jun 2018 03:40 |

URI: | http://repository.lppm.unila.ac.id/id/eprint/6743 |

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