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Odd Harmonious Labeling of Some Classes of Cycle Related Graphs
Indian Journal of Public Health Research & Development, 2018A 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
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Computation of even-odd harmonious labeling of graphs obtained by graph operations
AIP Conference Proceedings, 2019Let 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
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Harmonious Labelings of Families of Disjoint Unions of an Odd Cycle and Certain Trees
Journal of Combinatorial Mathematics and Combinatorial ComputingA 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
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Different types of odd harmonious labeling of super subdivision of various graphs
Journal of Discrete Mathematical Sciences and CryptographyIf 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
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Odd harmonious labeling of some family of snake graphs
AIP Conference Proceedings, 2022Emiliana Asumpta +2 more
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Odd Harmonious and Strongly Odd Harmonious Labeling of Some Classes of Graphs
Indian Journal of Public Health Research & Development, 2018J. Renuka, P. Balaganesan
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Odd Harmonious Labeling of P n ⊵ C 4 and P n ⊵ D 2 ( C 4 )
Indonesian Journal of Combinatorics, 2021Kristiana 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, 2020V. Srividya, R. Govindarajan
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K - ODD SEQUENTIAL HARMONIOUS LABELING OF DOUBLE M - TRIANGULAR SNAKES
Advances in Mathematics: Scientific Journal, 2020P. Senthil, M. Ganeshkumar
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