- Tytuł:
- Pentagonal Graceful Labeling of Some Graphs
- Autorzy:
-
Mahendran, S.
Murugan, K. - Powiązania:
- https://bibliotekanauki.pl/articles/1193373.pdf
- Data publikacji:
- 2021
- Wydawca:
- Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
- Tematy:
-
Pentagonal graceful number
pentagonal graceful graphs
pentagonal graceful labeling - Opis:
- Numbers of the form (n(3n-1))/2 for all n ≥ 1 are called pentagonal numbers. Let G be a graph with p vertices and q edges. Let f : V(G)→{0,1,2,…,P_q} where P_q is the q^th pentagonal number be an injective function. Define the function f *: E(G) → {1,5,…,P_q} such that f *(uv)=│f(u)-f(v)│for all edges uv∈E(G). If f *( E(G)) is a sequence of distinct consecutive pentagonal numbers {P_1,P_2,…,P_q}, then the function f is said to be pentagonal graceful labeling and the graph which admits such a labeling is called a pentagonal graceful graph. In this paper, pentagonal graceful labeling of some graphs is studied.
- Źródło:
-
World Scientific News; 2021, 155; 98-112
2392-2192 - Pojawia się w:
- World Scientific News
- Dostawca treści:
- Biblioteka Nauki
Artykuł