| Autor: |
Ali Ahmad, Misbah Arshad, Gabriela Ižaríková |
| Jazyk: |
angličtina |
| Rok vydání: |
2015 |
| Předmět: |
|
| Zdroj: |
AKCE International Journal of Graphs and Combinatorics, Vol 12, Iss 2, Pp 161-168 (2015) |
| Druh dokumentu: |
article |
| ISSN: |
0972-8600 |
| DOI: |
10.1016/j.akcej.2015.11.010 |
| Popis: |
A vertex irregular total k-labeling of a (p,q)-graph G=(V,E) is a labeling ϕ:V∪E→{1,2,…,k} such that the weights of the vertices wt(v)=ϕ(v)+∑uv∈Eϕ(uv) are different for all vertices. The total vertex irregularity strength tvs(G) is the minimum k for which G has a vertex irregular total k-labeling. The labeling ϕ is an edge irregular total k-labeling if for any two distinct edges e1=u1v1 and e2=u2v2, one has wt(e1)≠wt(e2) where wt(e1)=ϕ(u1)+ϕ(v1)+ϕ(u1v1). The total edge irregularity strength tes(G) is the minimum k for which G has an edge irregular total k-labeling. In this paper we determine tes(G) where G is the generalized helm and tvs(G) where G is the generalized sun graph. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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