Results 181 to 190 of about 29,335 (219)
Distance magic labelings of hypercubes
Abstract A distance magic labeling of a graph G is a bijective assignment of labels from {1, 2, …, |V (G)|} to the vertices of G such that the sum of labels on neighbors of u is the same for all vertices u. We show that the n-dimensional hypercube has a distance magic labeling for every n ≡ 2 ( mod 4 ) . It is known that this condition is
Petr Gregor, Petr Kovář
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Characterize group distance magic labeling of Cartesian product of two cycles
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Zeng Xiang-neng, Guixin Deng, Caimei Luo
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Distance Magic and Distance Antimagic Labeling of Some Product Graphs
Distance magic graph admits a distance magic labeling, whereas the distance antimagic graph admits a distance antimagic labeling. This chapter discusses the existence of distance magic labeling and distance antimagic labeling for a specific function. It considers that all graphs with a specific vertex set and a specific edge set are finite and simple ...
N P Shrimali, Y M Parmar
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Group distance magic labeling of tetravalent circulant graphs
Let \(G = (V , E)\) be a finite simple graph of order \(n\) and let \(\Gamma\) be an abelian group of order \(n\). A \(\Gamma\)-distance magic labeling of \(G\) is a bijection \(\varphi :V\rightarrow \Gamma\) for which there exits \(\gamma \in \Gamma\) such that \(\Sigma_{x \in N(V)} \varphi(x)=\gamma\) for any \(v \in V\), where \(N(v)\) is the ...
Guixin Deng, Geng Jin, Xiangneng Zeng
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A $$\varGamma $$-magic Rectangle Set and Group Distance Magic Labeling
A \(\varGamma \)-distance magic labeling of a graph \(G = (V, E)\) with \(|V| = n\) is a bijection \(\ell \) from V to an Abelian group \(\varGamma \) of order n such that the weight \(w(x) =\sum _{y\in N_G(x)}\ell (y)\) of every vertex \(x \in V\) is equal to the same element \(\mu \in \varGamma \) called the magic constant.
Sylwia Cichacz
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Group Distance Magic Labeling of $$C_n^r$$ C n r
Aloysius Godinho, T. Singh
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Note on the Group Distance Magic Labeling of Direct Product of Two Cycles
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Guixin Deng +3 more
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On distance magic labeling of graphs
Summary: Distance magic labeling of a graph of order \(n\) is a bijection \(f:V\to\{1,2,\dots,n\}\) with the property that there is a positive integer constant \(k\) such that for any vertex \(x\), \(\sum_{y\in N(x)}f(y)=k\), where \(N(x)\) is the set of vertices adjacent to \(x\).
Kiki Ariyanti Sugeng +4 more
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We describe three-dimensional magic angle spinning NMR experiments that enable simultaneous band-selective measurement of the multiple distance constraints between carbonyl and side chain carbons in uniformly 13C,15N-labeled peptides. The approaches are designed to circumvent the dipolar truncation and to allow experimental separation of the multiple ...
Vladimir Ladizhansky, Robert G. Griffin
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Spin diffusion of 13C polarization in NMR provides 13C−13C distances under magic angle spinning over a broad spectral width. However, there are difficulties in obtaining the distances accurately in uniformly 13C-labeled molecular complexes in solids. Effects of the weak long-range couplings are suppressed by strong short-range couplings.
Ayako Egawa +2 more
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