Results 31 to 40 of about 17,946 (257)
On the edge-balanced index sets of product graphs [PDF]
, 2011 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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Even harmonious labelings of disjoint graphs with a small component
AKCE International Journal of Graphs and Combinatorics, 2015 A graph G with q edges is said to be harmonious if there is an injection f from the vertices of G to the group of integers modulo q such that when each edge xy is assigned the label f(x)+f(y)(modq), the resulting edge labels are distinct. If G is a tree,
Joseph A. Gallian, Danielle Stewart
doaj +1 more source
Odd harmonious labeling of grid graphs
Proyecciones (Antofagasta), 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 ...
P. Jeyanthi, S. Philo, Maged Z. Youssef
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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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(Di)graph products, labelings and related results [PDF]
, 2017 Gallian's survey shows that there is a big variety of labelings of graphs. By means of (di)graphs products we can establish strong relations among some of them.
López Masip, Susana-Clara
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APPLICATION OF ODD HARMONIOUS LABELLING OF GRAPHS
, 2022 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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On cordial labeling of hypertrees
, 2019 Let $f:V\rightarrow\mathbb{Z}_k$ be a vertex labeling of a hypergraph $H=(V,E)$. This labeling induces an~edge labeling of $H$ defined by $f(e)=\sum_{v\in e}f(v)$, where the sum is taken modulo $k$.
Tuczyński, Michał +2 more
core +1 more source
, 2020 A graceful labeling of a graph $G$ with $m$ edges consists of labeling the vertices of $G$ with distinct integers from $0$ to $m$ such that, when each edge is assigned as induced label the absolute difference of the labels of its endpoints, all induced ...
Dantas, Simone +2 more
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Positive psychology of Malaysian students: impacts of engagement, motivation, self-compassion and wellbeing on mental health [PDF]
, 2019 Malaysia plays a key role in education of the Asia Pacific, expanding its scholarly output rapidly. However, mental health of Malaysian students is challenging, and their help-seeking is low because of stigma.
A Ehret +78 more
core +3 more sources