- Tytuł:
- On Total H-Irregularity Strength of the Disjoint Union of Graphs
- Autorzy:
-
Ashraf, Faraha
López, Susana Clara
Muntaner-Batle, Francesc Antoni
Oshima, Akito
Bača, Martin
Semaničová-Feňovčíková, Andrea - Powiązania:
- https://bibliotekanauki.pl/articles/32083832.pdf
- Data publikacji:
- 2020-02-01
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
H -covering
H -irregular labeling
total H -irregularity strength
copies of graphs
union of graphs - Opis:
- A simple graph G admits an H-covering if every edge in E(G) belongs to at least to one subgraph of G isomorphic to a given graph H. For the subgraph H ⊆ G under a total k-labeling we define the associated H-weight as the sum of labels of all vertices and edges belonging to H. The total k-labeling is called the H-irregular total k-labeling of a graph G admitting an H-covering if all subgraphs of G isomorphic to H have distinct weights. The total H-irregularity strength of a graph G is the smallest integer k such that G has an H-irregular total k-labeling. In this paper, we estimate lower and upper bounds on the total H-irregularity strength for the disjoint union of multiple copies of a graph and the disjoint union of two non-isomorphic graphs. We also prove the sharpness of the upper bounds.
- Źródło:
-
Discussiones Mathematicae Graph Theory; 2020, 40, 1; 181-194
2083-5892 - Pojawia się w:
- Discussiones Mathematicae Graph Theory
- Dostawca treści:
- Biblioteka Nauki
Artykuł