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.
null Slamin +2 more
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On the Locating Edge Domination Number of Comb Product of Graphs
I H Agustin, Moh Hasan, R Adawiyah
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On the (Strong) Rainbow Vertex Connection of Graphs Resulting from Edge Comb Product
null Dafik +2 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
doaj +1 more source
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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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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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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Computing symmetry groups of polyhedra [PDF]
Knowing the symmetries of a polyhedron can be very useful for the analysis of its structure as well as for practical polyhedral computations. In this note, we study symmetry groups preserving the linear, projective and combinatorial structure of a ...
Bremner, David +4 more
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One-way quantum computing with arbitrarily large time-frequency continuous-variable cluster states from a single optical parametric oscillator [PDF]
One-way quantum computing is experimentally appealing because it requires only local measurements on an entangled resource called a cluster state. Record-size, but non-universal, continuous-variable cluster states were recently demonstrated separately in
Alexander, Rafael N. +5 more
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Properly coloured copies and rainbow copies of large graphs with small maximum degree [PDF]
Let G be a graph on n vertices with maximum degree D. We use the Lov\'asz local lemma to show the following two results about colourings c of the edges of the complete graph K_n. If for each vertex v of K_n the colouring c assigns each colour to at most (
Böttcher, Julia +2 more
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