Results 21 to 30 of about 427 (193)

The odd harmonious labeling of matting graph

open access: yesJournal of Physics: Conference Series, 2021
Abstract Let G(p, q) be a graph that consists of p vertices and q edges, where V is the set of vertices and E is the set of edges of G. A graph G(p, q) is odd harmonious if there exists an injective function f that labels the vertices of G by integer from 0 to 2q − 1 that induced a bijective function f ∗ defined by f
K Mumtaz, P John, D R Silaban
openaire   +1 more source

Odd harmonious labeling of two graphs containing star [PDF]

open access: yesAIP Conference Proceedings, 2021
An odd harmonious labeling of a graph G is an injective function f:V(G)→{ 0,1,2,…,2| E(G) |−1 } such that the induced function f*:E(G)→{ 1,3,…,2| E(G) |−1 } defined by f*(xy)=f(x)+f(y) is a bijection. A graph that admits odd harmonious labeling is called an odd harmonious graph.
Diah Ayu Pujiwati   +2 more
openaire   +1 more source

A new labeling construction from the -product [PDF]

open access: yes, 2017
The ¿h-product that is referred in the title was introduced in 2008 as a generalization of the Kronecker product of digraphs. Many relations among labelings have been obtained since then, always using as a second factor a family of super edge-magic ...
López Masip, Susana Clara   +2 more
core   +4 more sources

Harmonious labeling on prisms graph

open access: yesJournal of Physics: Conference Series, 2019
Abstract In this paper, we show that C 2a+1 × Pn and ( C
N Hinding, W Husain, J Massalesse
openaire   +1 more source

Odd harmonious labeling of grid graphs

open access: yesProyecciones (Antofagasta), 2019
A graph G(p, q) is said to be odd harmonious if there exists an injection f : V (G) → {0, 1, 2, · · · , 2q − 1} such that the induced function f* : E(G) → {1, 3, · · · , 2q − 1} defined by f∗ (uv) = f (u) + f (v) is a bijection. In this paper we prove that path union of t copies of Pm×Pn, path union of t different copies of Pmᵢ×Pnᵢ where 1 ≤ i ≤ t ...
P. Jeyanthi, S. Philo, Maged Z. Youssef
openaire   +4 more sources

Even odd Harmonious Labeling of Some Graphs

open access: yesInternational Journal of Innovative Technology and Exploring Engineering, 2021
Let G = be a graph, with and . An injective mapping is called an even-odd harmonious labeling of the graph G, if an induced edge mapping such that (i) is bijective mapping (ii) The graph acquired from this labeling is called even-odd harmonious graph. In this paper, we discovered some interesting results like H-graph, comb graph, bistar graph and graph
Dhvanik H. Zala   +2 more
openaire   +1 more source

On the Graceful Game [PDF]

open access: yes, 2020
A graceful labeling of a graph $G$ with $m$ edges consists of labeling the vertices of $G$ with distinct integers from $0$ to $m$ such that, when each edge is assigned as induced label the absolute difference of the labels of its endpoints, all induced ...
Dantas, Simone   +2 more
core   +2 more sources

Vertex Graceful Labeling-Some Path Related Graphs [PDF]

open access: yes, 2013
Treating subjects as vertex graceful graphs, vertex graceful labeling, caterpillar, actinia graphs, Smarandachely vertex m ...
Balaganesan, P.   +2 more
core   +1 more source

Odd Harmonious Labeling of the Zinnia Flower Graphs

open access: yesJURNAL ILMIAH SAINS, 2023
An odd harmonious graph is a graph that satisfies the odd harmonious labeling properties. In this study, a new graph class construction is presented, namely zinnia flower graphs and variations of the zinnia flower graphs. The research method used is qualitative and includes several phases, namely data collection, data processing and analysis, and ...
Firmansah, Fery   +2 more
openaire   +2 more sources

APPLICATION OF ODD HARMONIOUS LABELLING OF GRAPHS

open access: yes, 2022
The labelling of discrete structures is an attractive research topic due to its vast range of applications. The current research is looking on strange harmonious labelling. If there exists an onto ff:V(G)→{0,1,2,,2q−1} such that the induced function 𝑓∗:E(G) →{1,3, ,2q−1}defined by f (uv) = f(u) + f(v) is a bijection, the graph G is said to be odd ...
A.Bhavya, K.Selvaraj
openaire   +1 more source

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