scholarly journals On Fault-Tolerant Partition Dimension of Homogeneous Caterpillar Graphs

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Kamran Azhar ◽  
Sohail Zafar ◽  
Agha Kashif
Keyword(s):  
Absorption Spectrum ◽  
Graph Theory ◽  
Structural Analysis ◽  
Fault Tolerant ◽  
Chemical Compounds ◽  
Numerical Examples ◽  
Benzenoid Hydrocarbon ◽  
Partition Dimension ◽  
Hydrocarbon Molecules ◽  
Uv Absorption Spectrum

Metric-related parameters in graph theory have several applications in robotics, navigation, and chemical strata. An important such parameter is the partition dimension of graphs that plays an important role in engineering, computer science, and chemistry. In the context of chemical and pharmaceutical engineering, these parameters are used for unique representation of chemical compounds and their structural analysis. The structure of benzenoid hydrocarbon molecules is represented in the form of caterpillar trees and studied for various attributes including UV absorption spectrum, molecular susceptibility, anisotropy, and heat of atomization. Several classes of trees have been studied for partition dimension; however, in this regard, the advanced variant, the fault-tolerant partition dimension, remains to be explored. In this paper, we computed fault-tolerant partition dimension for homogeneous caterpillars C p ; 1 , C p ; 2 , and C p ; 3 for p ≥ 5 , p ≥ 3 , and p ≥ 4 , respectively, and it is found to be constant. Further numerical examples and an application are furnished to elaborate the accuracy and significance of the work.

A structural view of fault-tolerant estimation

2007 ◽  
Vol 221 (6) ◽  
pp. 905-914 ◽  
Author(s):  
M Staroswiecki
Keyword(s):  
Structural Analysis ◽  
Fault Tolerant ◽  
Estimation Algorithms

This paper presents a structural view of fault-tolerant estimation algorithms. Structural analysis makes it possible to identify the minimal submodels by which unknown variables can be estimated, both in healthy and in faulty conditions, and to establish a link with critical faults and reliability.

scholarly journals Comparative study of oxytetracycline and doxycycline on calcium chelation: in-vitro assay

2017 ◽  
Vol 6 (5) ◽  
pp. 1160 ◽  
Author(s):  
Savitri Katlam ◽  
Yeshwant A. Deshmukh ◽  
Pradeep R. Jadhav
Keyword(s):  
Absorption Spectrum ◽  
Calcium Binding ◽  
Binding Assay ◽  
Pharmacokinetic Profile ◽  
In Vitro Assay ◽  
Vitro Assay ◽  
Calcium Chelation ◽  
Different Doses ◽  
Uv Absorption Spectrum

Background: Tetracycline class of antibiotics differ in their pharmacokinetic profile and chelating property. Objective of present study is to assess the effect of oxytetracycline and doxycycline on calcium chelationMethods: For estimation of calcium chelation of Oxytetracycline and Doxycycline, EDTA method (P. Trinder) and calcium binding assay was followed. Different doses of Oxytetracycline (25 mg, 50 mg and 100 mg) and Doxycycline (25 mg, 50 mg and 100 mg) were used in EDTA method and different concentrations of calcium were used in calcium binding assay. The procedure was done according to the standard methodology.Results: The intensity of colour appear to be increased with increase in dose of the Oxytetracycline (25 mg, 50 mg, 100 mg) as the concentration of calcium binding increases. But in Doxycycline intensity of colour is more with 100 mg as compared with 25 mg and 50 mg The UV absorption spectrum of solution of Oxytetracycline (1mM) was changed after the addition of CaCl2 to provide different concentration of Ca2+ (0.1, 0.5 and 1.0 mM).  With minor shift in the absorption coefficient and no shift in wavelength were observed for Doxycycline.Conclusions: The study concludes that oxytetracycline has more calcium chelating property than doxycycline.

scholarly journals Logistics management of the rail connections using graph theory: the case of a public transportation company on the example of Koleje Dolnośląskie S.A.

2018 ◽  
Vol 10 (3) ◽  
pp. 7-22
Author(s):  
Paweł Sobczak ◽  
Ewa Stawiarska ◽  
Judit Oláh ◽  
József Popp ◽  
Tomas Kliestik
Keyword(s):  
Graph Theory ◽  
Structural Analysis ◽  
Public Transportation ◽  
Transportation Networks ◽  
Logistics Management ◽  
Simulation Methods ◽  
Southern Poland ◽  
Transport Services ◽  
Network Simulations ◽  
Simulation Results

Abstract The main purpose of the paper was the structural analysis of the connections network used by a railway carrier Koleje Dolnośląskie S.A. operating in southern Poland. The analysis used simulation methods. The analysis and simulation were based on graph theory, which is successfully used in analysing a wide variety of networks (social, biological, computer, virtual and transportation networks). The paper presents indicators which allow judging the analysed connections network according to an appropriate level of transport services. Simulation results allowed proposing some modifications for the improvement of the analysed connections network. The paper also demonstrates that graph theory and network simulations should be used as tools by transportation companies during the stage of planning a connections network.

UV absorption spectrum and absorption cross sections of COF2at 296 K in the range 200 - 230 nm

1992 ◽  
Vol 19 (3) ◽  
pp. 281-284 ◽  
Author(s):  
Andreas Nölle ◽  
Horst Heydtmann ◽  
Richard Meller ◽  
Wolfgang Schneider ◽  
Geert K. Moortgat
Keyword(s):  
Absorption Spectrum ◽  
Cross Sections ◽  
Uv Absorption ◽  
Absorption Cross ◽  
Uv Absorption Spectrum

scholarly journals Application of Linear and Nonlinear Graphs in Structural Synthesis of Kinematic Chains

1973 ◽  
Vol 95 (2) ◽  
pp. 525-532 ◽  
Author(s):  
M. Huang ◽  
A. H. Soni
Keyword(s):  
Mathematical Model ◽  
Graph Theory ◽  
Structural Analysis ◽  
Three Dimensional ◽  
Structural Synthesis ◽  
Kinematic Chains ◽  
Piston Cylinder ◽  
General Constraints ◽  
Analysis And Synthesis ◽  
Linear And Nonlinear

Using graph theory and Polya’s theory of counting, the present paper performs structural synthesis and analysis of planar and three-dimensional kinematic chains. The Section 2 of the paper develops a mathematical model that permits one to perform structural analysis and synthesis of planar kinematic chains with kinematic elements such as revolute pairs, cam pairs, springs, belt-pulley, piston-cylinder, and gears. The theory developed is applied to enumerate eight-link kinematic chains with these kinematic elements. The Section 3 of the paper develops a mathematical model that permits one to perform structural analysis and synthesis of multi-loop spatial kinematic chains with higher and lower kinematic pairs. The theory developed is applied to enumerate all possible two-loop kinematic chains with or without general constraints.

scholarly journals The absorption spectra of halogens and inter-halogen compounds in solution in carbon tetrachloride

1929 ◽  
Vol 124 (795) ◽  
pp. 604-616 ◽  
Keyword(s):  
Absorption Spectrum ◽  
Carbon Tetrachloride ◽  
Absorption Spectra ◽  
Spectroscopic Data ◽  
Chemical Interaction ◽  
Chemical Compounds ◽  
Absorption Bands ◽  
Halogen Compounds ◽  
Inert Solvent ◽  
The Mean

When two solutions are mixed the absorption spectrum of the new solution will be the mean of those of the separate solutions provided that no chemical interaction occures. The mere fact of a departure from additivity does not, however, necessarily denote the formation of true chemical compounds. The solute or solutes may undergo solvation, loosely bound aggregates may occur, and even when marked deviations from the simple law of mixtures are observed it is rarely possible to prove the quantitative formation of a given chemical compound from spectroscopic data alone. The above considerations apply with some force to the problem of the absorption spectra of halogens and inter-halogen compounds in an inert solvent. The three elements show perfectly characteristic absorption bands, they are known to interact with the formation of some quite stable compounds, some relatively stable compounds, and some apparently very unstable compounds.

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