On the (Strong) Rainbow Vertex Connection of Graphs Resulting from Edge Comb Product
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Pewarnaan Titik Ketakteraturan Lokal Inklusif pada Hasil Operasi Comb Graf Bintang
Let G(V,E) is a simple graph and connected where V(G) is vertex set and E(G) is edge set. An inclusive local irregularity vertex coloring is defined by a mapping l:V(G) í {1,2,..., k} as vertex labeling and wi : V(G) í N is function of inclusive local ...
Arika Indah Kristiana +2 more
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Local Edge Antimagic Coloring of Comb Product of Graphs [PDF]
IOP Conf. Series: Journal of Physics: Conf. Series 1008 (2018) 012038 ; All graph in this paper are ¯nite, simple and connected graph. Let G(V; E) be a graph of vertex set V and edge set E. A bijection f : V (G) ¡! f1; 2; 3; :::; jV (G)jg is called a local edge antimagic labeling if for any two adjacent edges e 1 and e 2 , w(e 1 ) 6 = w(e ), where for ...
Agustin, Ika Hesti +5 more
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Strongly Multiplicative Labeling of Diamond Graph, Generalized Petersen Graph, and Some Other Graphs
A finite, simple graph of order k is said to be a strongly multiplicative graph when all vertices of the graph are labeled by positive integers 1,2,3,…,k such that the induced edge labels of the graph, obtained by the product of labels of end vertices of
Sumiya Nasir +5 more
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Odd Harmonious Labeling of Pn ⊵ C4 and Pn ⊵ D2(C4)
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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Rainbow connection number of comb product of graphs
An edge-colored graph G is called a rainbow connected if any two vertices are connected by a path whose edges have distinct colors. Such a path is called a rainbow path.
Dinny Fitriani +2 more
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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
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Distance Domination Number of Graphs Resulting from Edge Comb Product
Let G be a simple, finite and connected graph with a vertex-set V (G) and an edge-set E(G). For an integer 1 ≤ k ≤ diam (G), a distance k-dominating set of a connected graph G is a set S of vertices of G such that every vertex of V (G)\S is at distance at most k from some vertex of S.
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All graphs in this paper are simple, finite, and undirected graph. Let r be a edges of H. The edge comb product between L and H, denoted by LH, is a graph obtained by taking one copy of L and |E(L)| copies of H and grafting the i-th copy of H at the edges r to the i-th edges of L, we call such a graph as an edge comb product of graph with subgraph as a
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The matching book embedding under some graph operations
The matching book embedding of a graph G is an embedding of G with the vertices on the spine, and each edge within a single page so that the edges on each page do not intersect and the degree of vertices on each page is at most one.
Zeling Shao, Min Yao, Zhiguo Li
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