- Tytuł:
- A magical approach to some labeling conjectures
- Autorzy:
-
Figueroa-Centeno, Ramon
Ichishima, Rikio
Muntaner-Batle, Francesc
Oshima, Akito - Powiązania:
- https://bibliotekanauki.pl/articles/743837.pdf
- Data publikacji:
- 2011
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
edge-magic labelling
edge-magic total labelling
felicitous labelling
harmonious labelling
sequential labelling - Opis:
- In this paper, a complete characterization of the (super) edge-magic linear forests with two components is provided. In the process of establishing this characterization, the super edge-magic, harmonious, sequential and felicitous properties of certain 2-regular graphs are investigated, and several results on super edge-magic and felicitous labelings of unions of cycles and paths are presented. These labelings resolve one conjecture on harmonious graphs as a corollary, and make headway towards the resolution of others. They also provide the basis for some new conjectures (and a weaker form of an old one) on labelings of 2-regular graphs.
- Źródło:
-
Discussiones Mathematicae Graph Theory; 2011, 31, 1; 79-113
2083-5892 - Pojawia się w:
- Discussiones Mathematicae Graph Theory
- Dostawca treści:
- Biblioteka Nauki
Artykuł