- Tytuł:
- Some Special Graceful Labeling Results of Pentagonal Pyramidal Graceful Graphs
- Autorzy:
- Mahendran, S.
- Powiązania:
- https://bibliotekanauki.pl/articles/1193441.pdf
- Data publikacji:
- 2021
- Wydawca:
- Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
- Tematy:
-
Pentagonal pyramidal graceful number
pentagonal pyramidal graceful graphs
pentagonal pyramidal graceful labeling - Opis:
- Numbers of the form (n^(2 ) (n+1))/2 for all n≥1 are called pentagonal pyramidal numbers. Let G be a graph with p vertices and q edges. Let Ψ : V(G) →{0, 1, 2… M_r} where M_r is the r^th pentagonal pyramidal number be an injective function. Define the function Ψ*:E(G) →{1,6,18,.., M_r} such that Ψ *(uv) = |Ψ (u)- Ψ (v)| for all edges uvϵE(G). If Ψ*(E (G)) is a sequence of distinct consecutive pentagonal pyramidal numbers {M_1,M_2, …, M_r}, then the function Ψ is said to be pentagonal pyramidal graceful labeling and the graph which admits such a labeling is called a pentagonal pyramidal graceful graph. In this paper, some special graceful labeling results of pentagonal pyramidal graceful graphs is studied.
- Źródło:
-
World Scientific News; 2021, 157; 67-79
2392-2192 - Pojawia się w:
- World Scientific News
- Dostawca treści:
- Biblioteka Nauki
Artykuł