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APPLICATION OF ODD HARMONIOUS LABELLING OF GRAPHS
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
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Vertex Graceful Labeling-Some Path Related Graphs [PDF]
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 grid graphs
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
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Odd harmonious labeling of Sn (m, r) graph
Abstract A graph labeling is an assignment of integers to vertices or edges of a graph subject to certain conditions. There are various kinds of graph labeling, one of them is an odd harmonious labeling. An odd harmonious labeling f of a graph G on q edges is an injective function f from the set of vertices of G to the set {0,1,2,…,2q ...
E A Pramesti, null Purwanto
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ODD HARMONIOUS LABELINGS OF CYCLIC SNAKES
In [8] Liang and Bai have shown that the kC4 − snake graph is an odd harmonious graph for each k ≥ 1. In this paper we generalize this result on cycles by showing that the kCn − snake with string 1,1,…,1 when n ≡ 0 (mod 4) are odd harmonious graph.
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On the edge-balanced index sets of product graphs [PDF]
We characterize strongly edge regular product graphs and find the edge-balanced index sets of complete bipartite graphs without a perfect matching, the direct product $K_n\times K_2$.
Krop, Elliot +2 more
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A Note on 1-Edge Balance Index Set [PDF]
A graph labeling is an assignment of integers to the vertices or edges or both, subject to certain conditions. Varieties of graph labeling have been investigated by many authors [2], [3] [5] and they serve as useful models for broad range of ...
Chandrashekar Adiga, +2 more
core +1 more source
Pelabelan Harmonis Ganjil pada Graf Ular Jaring Berlipat [PDF]
Graphs that have odd harmonious labeling properties are called odd harmonious graphs. The purpose of this study to obtain a new graph class construction with its properties, but also to prove that the new graph class has odd harmonious labeling ...
Firmansah, Fery
core +2 more sources
International Tables for Crystallography is the definitive resource and reference work for crystallography and structural science.
Each of the eight volumes in the series contains articles and tables of data relevant to crystallographic research and to applications of crystallographic methods in all sciences concerned with the ...
John P. Sutter C. Chantler +2 more
wiley +2 more sources
A new labeling construction from the -product [PDF]
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

