- Tytuł:
- Vertex-antimagic total labelings of graphs
- Autorzy:
-
Bača, Martin
MacDougall, James
Bertault, François
Miller, Mirka
Simanjuntak, Rinovia
Slamin, --- - Powiązania:
- https://bibliotekanauki.pl/articles/972037.pdf
- Data publikacji:
- 2003
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
super-magic labeling
(a,d)-vertex-antimagic total labeling
(a,d)-antimagic labeling - Opis:
-
In this paper we introduce a new type of graph labeling for a graph G(V,E) called an (a,d)-vertex-antimagic total labeling. In this labeling we assign to the vertices and edges the consecutive integers from 1 to |V|+|E| and calculate the sum of labels at each vertex, i.e., the vertex label added to the labels on its incident edges. These sums form an arithmetical progression with initial term a and common difference d.
We investigate basic properties of these labelings, show their relationships with several other previously studied graph labelings, and show how to construct labelings for certain families of graphs. We conclude with several open problems suitable for further research. - Źródło:
-
Discussiones Mathematicae Graph Theory; 2003, 23, 1; 67-83
2083-5892 - Pojawia się w:
- Discussiones Mathematicae Graph Theory
- Dostawca treści:
- Biblioteka Nauki
Artykuł