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Odd Harmonious Labeling of Some Classes of Cycle Related Graphs

Indian Journal of Public Health Research & Development, 2018
A connected graph G = (V, E) of order atleast two, with order and size is called odd harmonious, if there exists an injection f:V → {0, 1, 2,, 2q − 1} such that the induced function f*:E → {, 3,, 2q1} defined by f*(uv) = [f (u) + f (v)], uv ∈ E is a bijection. Then f is called odd harmonious labeling of G.
J. Renuka, P. Balaganesan
openaire   +1 more source

Computation of even-odd harmonious labeling of graphs obtained by graph operations

AIP Conference Proceedings, 2019
Let G(V, E) be a graph with order p and size q. The graph G is called as an even-odd harmonious graph if there exists an 1-1 map f:V → {1, 3, 5, …, 2p − 1} and a bijective map f∗:E → {0, 2, …, 2(q − 1)} such that f∗(e = uv) = (f(u) + f(v))(mod 2q). This computation of assigning the numbers to the vertices and edges of G is called an even-odd harmonious
M. Kalaimathi, B. J. Balamurugan
openaire   +1 more source

Harmonious Labelings of Families of Disjoint Unions of an Odd Cycle and Certain Trees

Journal of Combinatorial Mathematics and Combinatorial Computing
A graph \(G\) with vertex set \(V = V(G)\) and edge set \(E = E(G)\) is harmonious if there exists a harmonious labeling of \(G\); which is an injective function \(f:V(G) \rightarrow \mathbf{Z}_m\) provided that whenever \(e_1, e_2 \in E\) are distinct with endpoints \(u_1,v_1\) and \(u_2,v_2\), respectively, then \(f(u_1) + f(v_1) \not\equiv f(u_2 ...
Abueida, Atif, Roblee, Kenneth
openaire   +1 more source

Different types of odd harmonious labeling of super subdivision of various graphs

Journal of Discrete Mathematical Sciences and Cryptography
If the vertices of a graph Γ(α, β), with α = |V(Γ)| and β = |E(Γ)|, can be labelled with unequal integers within the set [0, 2β – 1], so that the edges labels generated by the sum of the labels of the end vertices modulo 2β are distinct odd numbers from the set [1, 2β – 1]. Then, we regard the graph Γ(V, E) to be a semi-odd harmonic graph.
Mohamed R. Zeen El Deen   +1 more
openaire   +1 more source

Odd harmonious labeling of some family of snake graphs

AIP Conference Proceedings, 2022
Emiliana Asumpta   +2 more
openaire   +1 more source

Odd Harmonious and Strongly Odd Harmonious Labeling of Some Classes of Graphs

Indian Journal of Public Health Research & Development, 2018
J. Renuka, P. Balaganesan
openaire   +1 more source

Odd Harmonious Labeling of P n ⊵ C 4 and P n ⊵ D 2 ( C 4 )

Indonesian Journal of Combinatorics, 2021
Kristiana Wijaya, Ikhsanul Halikin
exaly  

On odd harmonious labelling of even cycles with parallel chords and dragons with parallel chords

International Journal of Computer Aided Engineering and Technology, 2020
V. Srividya, R. Govindarajan
openaire   +1 more source

K - ODD SEQUENTIAL HARMONIOUS LABELING OF DOUBLE M - TRIANGULAR SNAKES

Advances in Mathematics: Scientific Journal, 2020
P. Senthil, M. Ganeshkumar
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