Results 11 to 20 of about 5,368 (184)
Odd harmonious labeling of two graphs containing star [PDF]
AIP 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
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Odd harmonious labeling of super subdivisión graphs [PDF]
Proyecciones (Antofagasta), 2019 A graph G(p, q) is said to be odd harmonious if there exists an injection ?: V (G) → {0, 1, 2, · · · , 2q − 1} such that the induced function ?∗: E(G) → {1, 3, · · · , 2q − 1} defined by ?∗(uv) = ? (u) + ? (v) is a bijection. In this paper we prove that super subdivision of any cycle Cm with m ≥ 3 ,ladder, cycle Cn for n ≡ 0(mod 4) with K1,m and ...
P. Jeyanthi, S. Philo, M. K. Siddiqui
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Odd Harmonious Labeling of Some New Families of Graphs
Electronic Notes in Discrete Mathematics, 2015 Abstract A graph G is said to be odd harmonious if there exists an injection f : V ( G ) → { 0 , 1 , 2 , … , 2 q − 1 } such that the induced function f ⁎ : E ( G ) → { 1 , 3 , … , 2 q − 1 } defined by f ⁎ ( u v ) = f ( u ) + f ( v ) ( m o d 2 q ) is a ...
P. Jeyanthi, S. Philo
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Odd Harmonious Labeling of Pn ⊵ C4 and Pn ⊵ D2(C4)
Indonesian Journal of Combinatorics, 2021 A graph G with q edges is said to be odd harmonious if there exists an injection f:V(G) → ℤ2q so that the induced function f*:E(G)→ {1,3,...,2q-1} defined by f*(uv)=f(u)+f(v) is a bijection.Here we show that graphs constructed by edge comb product of ...
Sabrina Shena Sarasvati +2 more
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Odd harmonious labeling on the union of flower graphs
DesimalApplications of graph labeling in the fields of communication network addressing, database management, secret sharing schemes, and cryptology. Graphs that satisfy the odd harmonious labeling property are called odd harmonious graphs.
Fery Firmansah +2 more
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On odd harmonious labeling of m-shadow of cycle, gear with pendant and Shuriken graphs [PDF]
AIP Conference Proceedings, 2019 A graph G = (V(G), E(G)) with p vertices and q edges is called (p, q)-graph. An injection f is said to be odd harmonious labeling of a (p, q)-graph G if there is an injective function f from a set of vertices V(G) to a set {0, 1, 2, …, 2q − 1} such that the induced function f∗ from a set of edges E(G) to a set of odd number {1, 3, 5, … 2q − 1} defined ...
Kiki A. Sugeng +2 more
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ODD HARMONIC LABELING ON Cm,n ⊵e C4 GRAPH
Jurnal Diferensial, 2023 Graph is an ordered pair of a vertex and edge set that related with various theories, one of them called labeling. There are a lot of types of graph labeling, one of them is odd harmonious labeling. The odd harmonious labeling is an injective function f :
Demetriana Kolo +2 more
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The odd harmonious labeling of matting graph
Journal 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
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Even odd Harmonious Labeling of Some Graphs
International 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
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Odd Harmonious Labeling of the Zinnia Flower Graphs
JURNAL 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
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