scholarly journals Odd harmonious labeling of super subdivisión graphs

2019 ◽  
Vol 38 (1) ◽  
pp. 1-11 ◽  
Author(s):  
P. Jeyanthi ◽  
S. Philo ◽  
M. K. Siddiqui
Keyword(s):  
Harmonious Labeling

scholarly journals On Harmonious Labeling of Corona Graphs

2014 ◽  
Vol 2014 ◽  
pp. 1-4 ◽  
Author(s):  
Martin Bača ◽  
Maged Z. Youssef
Keyword(s):  
Harmonious Labeling ◽  
Corona Graphs

A graphGwithqedges is said to be harmonious, if there is an injectionffrom the vertices ofGto the group of integers moduloqsuch that when each edgexyis assigned the labelf(x)+f(y)(modq), the resulting edge labels are distinct. In this paper, we study the existence of harmonious labeling for the corona graphs of a cycle and a graphGand for the corona graph ofK2and a tree.

scholarly journals Pelabelan Harmonis Ganjil pada Graf Bunga Double Quadrilateral

2020 ◽  
Vol 20 (1) ◽  
pp. 12
Author(s):  
Fery Firmansah
Keyword(s):  
Research Method ◽  
Graph Labeling ◽  
New Class ◽  
Harmonious Labeling

Graf harmonis ganjil adalah graf yang memenuhi sifat-sifat pelabelan harmonis ganjil. Tujuan dari penelitian ini adalah mendapatkan kelas graf baru yang merupakan graf harmonis ganjil. Metode penelitian yang digunakan terdiri dari beberapa tahapan yaitu konstruksi definisi, formulasi fungsi pelabelan dan pembuktian teorema. Hasil dari penelitian ini adalah konstruksi graf bunga double quadrilateral  dengan  dan graf bunga variasi double quadrilateral  dengan  yang merupakan pengembangan dari graf double quadrilateral  dan graf variasi double quadrilateral . Lebih lanjut telah dibuktikan bahwa graf  dan  adalah graf harmonis ganjil.Kata Kunci: graf double quadrilateral, graf bunga, graf harmonis ganjil, pelabelan graf Odd Harmonious Labelling on The Flower Double Quadrilateral Graphs ABSTRACTOdd harmonious graphs are graphs that have odd harmonious labeling properties. The purpose of this study is to get a new class of graphs which are odd harmonious graphs. The research method used consists of several stages, namely construction of definitions, formulation of labeling functions and proof of theorems.  The results of this study is to get a graph construction will be given, namely the flower quadrilateral graphs  with  and the flower variation of quadrilateral graphs  with , which are the development of double quadrilateral graphs  and variation double quadrilateral graphs . It has further been proven that  and  are odd harmonious graphs.Keywords: double quadrilateral graph, flower graph, labeling graph, odd harmonious graph

scholarly journals Prime Harmonious Labeling of Some New Graphs

2016 ◽  
Vol 12 (05) ◽  
pp. 57-61
Author(s):  
P. Deepa ◽  
S. Uma Maheswari ◽  
K. Indirani
Keyword(s):  
Harmonious Labeling

scholarly journals Odd Harmonious Labeling on Pleated of the Dutch Windmill Graphs

CAUCHY ◽  
2017 ◽  
Vol 4 (4) ◽  
pp. 161
Author(s):  
Fery Firmansah ◽  
Muhammad Ridlo Yuwono
Keyword(s):  
Harmonious Labeling

A graph G(p,q) with p=|V(G)| vertices and q=|E(G)| edges. The graph G(p,q) is said to be odd harmonious if there exist an injection f: V(G)->{0,1,2,...,2q-1} such that the induced function f*: E(G)->{1,2,3,...,2q-1} defined by  f*(uv)=f(u)+f(v) which is a bijection and f is said to be odd harmonious labeling of G(p,q). In this paper we prove that pleated of the Dutch windmill graphs C_4^(k)(r) with k>=1 and r>=1 are odd harmonious graph. Moreover, we also give odd harmonious labeling construction for the union pleated of the Dutch windmill graph   C_4^(k)(r) union C_4^(k)(r) with k>=1 and r>=1.

Harmonious labeling graph of a group

2021 ◽  
Author(s):  
M. Angeline Ruba ◽  
Golden Ebenezer Jebamani ◽  
G. S. Grace Prema
Keyword(s):  
Harmonious Labeling

Even sequential harmonious labeling on path and cycle related graphs

2014 ◽  
Vol 8 ◽  
pp. 4723-4728
Author(s):  
P. Selvaraju ◽  
P. Balaganesan ◽  
L. Vasu ◽  
J. Renuka
Keyword(s):  
Harmonious Labeling
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