Results 11 to 20 of about 407,230 (195)

Odd harmonious labeling on the union of flower graphs

Desimal
Applications 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, Tasari Tasari, Joko Sungkono   +2 more
doaj   +3 more sources

Odd Harmonious Labeling of Super Subdivisión Graphs [PDF]

Proyecciones, 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 ...
Pon Jeyanthi
exaly   +4 more sources

Odd Harmonious Labeling of Grid Graphs

Proyecciones, 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 ...
Maged Z Youssef, Pon Jeyanthi
exaly   +6 more sources

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, Narendra T. Chotaliya, Mehul A. Chaurasiya   +2 more
openaire   +3 more sources

Even-Odd Prime Harmonious Graphs [PDF]

Pandian Journal of Mathematical Sciences, 2022
The paper considers finite and undirected simple connected graphs. Usually, graph labeling is an assignment of integers to the vertices or edges in the method.
Dr R. S. Ramkumar
doaj   +2 more sources

Odd Harmonious Labeling Of Some Graphs [PDF]

, 2012
The labeling of discrete structures is a potential area of research due to its wide range of applications. The present work is focused on one such labeling called odd harmonious labeling.
Vaidya, S.K., Shah, N.H.
openaire   +3 more sources

Odd harmonious labeling of some cycle related graphs

Proyecciones (Antofagasta), 2017
A graph G(p, q) is said to be odd harmonious if there exists an in-jection 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. A graph that admits odd harmonious labeling is called odd harmonious graph.
Jeyanthi, P., Philo, S.
openaire   +4 more sources

Odd Harmonious Labeling of P_n ⊵ C₄ and  P_n ⊵ 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, Ikhsanul Halikin, Kristiana Wijaya   +2 more
doaj   +4 more sources

Odd Harmonious Labelings of Cyclic Snakes

International Journal on Applications of Graph Theory In wireless Ad Hoc Networks And sensor Networks, 2013
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.
M. E. Abdel-Aal, M. E. Abdel-Aal (4964914)   +1 more
openaire   +4 more sources

The Odd Harmonious Labeling on Variation of the Double Quadrilateral Windmill Graphs [PDF]

Jurnal ILMU DASAR, 2017
A Graphis calledif it hasvertices and edqes. The graphis said to be an odd harmonious if there exists an injectionsuch that induced mappingis a bijection and is said to be an odd harmonious labeling of. In this paper, we construct the odd harmonious labeling on variation of the double quadrilateral windmill graph with .
Firmansah, Fery, Fery Firmansah
openaire   +4 more sources