Structural information content of networks: Graph entropy based on local vertex functionals

2008 ◽  
Vol 32 (2) ◽  
pp. 131-138 ◽  
Author(s):  
Matthias Dehmer ◽  
Frank Emmert-Streib
2021 ◽  
Vol 13 (12) ◽  
pp. 2255
Author(s):  
Matteo Pardini ◽  
Victor Cazcarra-Bes ◽  
Konstantinos Papathanassiou

Synthetic Aperture Radar (SAR) measurements are unique for mapping forest 3D structure and its changes in time. Tomographic SAR (TomoSAR) configurations exploit this potential by reconstructing the 3D radar reflectivity. The frequency of the SAR measurements is one of the main parameters determining the information content of the reconstructed reflectivity in terms of penetration and sensitivity to the individual vegetation elements. This paper attempts to review and characterize the structural information content of L-band TomoSAR reflectivity reconstructions, and their potential to forest structure mapping. First, the challenges in the accurate TomoSAR reflectivity reconstruction of volume scatterers (which are expected to dominate at L-band) and to extract physical structure information from the reconstructed reflectivity is addressed. Then, the L-band penetration capability is directly evaluated by means of the estimation performance of the sub-canopy ground topography. The information content of the reconstructed reflectivity is then evaluated in terms of complementary structure indices. Finally, the dependency of the TomoSAR reconstruction and of its structural information to both the TomoSAR acquisition geometry and the temporal change of the reflectivity that may occur in the time between the TomoSAR measurements in repeat-pass or bistatic configurations is evaluated. The analysis is supported by experimental results obtained by processing airborne acquisitions performed over temperate forest sites close to the city of Traunstein in the south of Germany.


2008 ◽  
Vol 63 (3-4) ◽  
pp. 155-158 ◽  
Author(s):  
Matthias Dehmer ◽  
Frank Emmert-Streib

We present an information-theoretic method to measure the structural information content of networks and apply it to chemical graphs. As a result, we find that our entropy measure is more general than classical information indices known in mathematical and computational chemistry. Further, we demonstrate that our measure reflects the essence of molecular branching meaningfully by determining the structural information content of some chemical graphs numerically.


Author(s):  
Alberto Podjarny ◽  
Thomas R Schneider ◽  
Raul E Cachau ◽  
Andrzej Joachimiak

1975 ◽  
Vol 8 (2) ◽  
pp. 237-316 ◽  
Author(s):  
Angelo Azzi

Fluorescence has been used in biochemical studies for many years but only recently has the information content and the practical applicability of the fluorescence method been fully realized.Following the early studies of Newton (1954) and Weber (11954) and after the initial utilization of fluorescent probes by Chance and coworkers (Azziet al.1969) and Tasakiet al.(1968), in the study of membranes, the use of fluorescence to provide structural information at microscopic or molecular levels in biological membranes has become widespread. widespread. The application of the fluorescence technique to biological systems has progressed parallel to the development of a theoretical basis for fluorescence data interpretation and the synthesis of a large number of fluorescent probes, organic molecules having fluorescence characteristics that are dependent on their environment.


Author(s):  
Ikechukwu Ogadimma Alisi ◽  
Adamu Uzairu ◽  
Stephen Eyije Abechi ◽  
Sulaiman Ola Idris

The 2, 2-diphenyl-1-picrylhydrazyl (<strong>DPPH</strong>) free radical scavenging properties of selected hydrazone antioxidants was investigated by the application of Quantitative Structure Activity Relationship (<strong>QSAR</strong>). Density functional theory (<strong>DFT</strong>) was employed in the optimization of the molecular structures. Internal and external validation as well as y-randomization tests were conducted in order to confirm the statistical reliability and acceptability of the developed models. The leverage approach was employed in the assessment of the applicability domain of the developed model. While the relative contribution and strength of each descriptor in the model was obtained by estimating the variation inflation factor, mean effect, and degree of contribution of each descriptor in the developed model. Model 3 which gave the best validation results was chosen as the best of the five models. This model dictates that the most important descriptors that influence the free radical scavenging activities of  the hydrazone antioxidants are the Broto-Moreau autocorrelation - lag 2 / weighted by polarizabilities; Count of atom-type H E-State: H on C  bonded to saturated C; Number of hydrogen bond donors (using CDK H Bond Donor Count Descriptor algorithm); Structural information content index (neighborhood symmetry of 1-order) and the 3D topological distance based autocorrelation - lag 7 / weighted by I-state descriptors. The Structural information content index descriptor was observed to be the most influential of all the descriptors


Author(s):  
MURAT BERBERLER

Graph energy is a measurement of determining the structural information content of graphs. In this paper we determine the Quasi-Laplacian energy of classes of composite graphs based on R -graphs.


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