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Note on the Group Distance Magic Labeling of Direct Product of Two Cycles

Bulletin of the Iranian Mathematical Society
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guixin Deng
exaly   +3 more sources

Distance Magic and Distance Antimagic Labeling of Some Product Graphs

2020
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
openaire   +1 more source

Distance magic labelings of graphs

Australas. J Comb., 2003
Authors define 1-vertex-magic labelling of a graph \(G=(V,E)\) as a bijection \(f\colon \{1,2,\dots, |V|\} \to V\) such that for any two vertices \(u,v \in V\), \(\sum_{x\in N(u)}f(x)=\sum_{y\in N(v)}f(y)\). The authors solve the existence problem of 1-vertex-magic labellings on complete bipartite, tripartite and regular multipartite graphs.
Mirka Miller   +2 more
openaire   +2 more sources

A $$\varGamma $$-magic Rectangle Set and Group Distance Magic Labeling

2015
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.
openaire   +1 more source

On distance magic labeling of graphs

2009
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 \(x\).
Sugeng, K. A.   +4 more
openaire   +1 more source

A magic-angle-spinning NMR method for H1–H1 distance measurement using coherent polarization transfer in C13-labeled organic solids

The Journal of Chemical Physics, 2008
We have developed a theory for H1–H1 distance measurements from the direct polarization transfer in C13-labeled solids under magic-angle spinning. The polarization transfer caused by the H1–H1 dipolar interactions was analyzed with zeroth-order average Hamiltonian for a H1–C13–C13–H1 spin system in the frame modulated by C13–H1 dipolar interactions and
Hiroki, Takahashi   +2 more
openaire   +2 more sources

Band-Selective Carbonyl to Aliphatic Side Chain 13C−13C Distance Measurements in U-13C,15N-Labeled Solid Peptides by Magic Angle Spinning NMR

Journal of the American Chemical Society, 2004
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
openaire   +2 more sources

Distance magic labeling of join of graphs and big data analysis.

J. Intell. Fuzzy Syst.
This article has been retracted. A retraction notice can be found at https://doi.org/10.3233/JIFS-219433.
Sivakumaran, V., Sankar, K.
openaire   +2 more sources

Distance magic labeling on shadow graphs

AIP Conference Proceedings, 2022
Chaithra Krishna, Shankaran Perikamana
openaire   +1 more source

CHAPTER 3. 13C–13C Distance Measurements by Polarization Transfer Matrix Analysis of 13C Spin Diffusion in a Uniformly 13C-Labeled Molecular Complex under Magic Angle Spinning

2014
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
openaire   +1 more source

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