Results 51 to 60 of about 1,291,628 (288)
On the Null-Homotopy of Bridged Graphs
The author obtains results on graphs which contain no isometric cycles other than triangles. It is shown how each cycle in these graphs can be broken down into chordal pieces.
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An MBO method for modularity optimisation based on total variation and signless total variation
In network science, one of the significant and challenging subjects is the detection of communities. Modularity [1] is a measure of community structure that compares connectivity in the network with the expected connectivity in a graph sampled from a ...
Zijun Li, Yves van Gennip, Volker John
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Efficient Tuning-Free l1-Regression of Nonnegative Compressible Signals
In compressed sensing the goal is to recover a signal from as few as possible noisy, linear measurements with the general assumption that the signal has only a few non-zero entries.
Hendrik Bernd Petersen +3 more
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On the null-homotopy of graphs
The author presents an example of a graph G in which every cycle is the mod 2 sum of triangles but no edge-deleted subgraph G-e has the same property, disproving thereby a conjecture of \textit{P. Duchet, M. Las Vergnas} and \textit{H. Meyniel} [Discrete Math. 62, 145-154 (1986; Zbl 0609.05032)].
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Scale-resolved analysis of brain functional connectivity networks with spectral entropy
Functional connectivity is derived from inter-regional correlations in spontaneous fluctuations of brain activity, and can be represented in terms of complete graphs with continuous (real-valued) edges.
Carlo Nicolini +3 more
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On Null Vertex in Fuzzy Graphs
We introduce a new type of vertex in fuzzy graphs, namely null vertex, which is neither a boundary vertex nor an interior vertex. Here, we initiate a study on the null vertex in fuzzy graphs, explore its properties and establish its presence in various types of fuzzy graphs.
M.P. Sunil, J. Suresh Kumar
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Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice +16 more
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Classification learning is a preeminent human ability within the animal kingdom but the key mechanisms of brain networks regulating learning remain mostly elusive.
Antonio G. Zippo +5 more
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This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
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Subgraph Covers: An Information-Theoretic Approach to Motif Analysis in Networks
Many real-world networks contain a statistically surprising number of certain subgraphs, called network motifs. In the prevalent approach to motif analysis, network motifs are detected by comparing subgraph frequencies in the original network with a ...
Anatol E. Wegner
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