A graph invariant is a number that can be easily and uniquely calculated through a graph.Recently,part of mathematical graph invariants has been portrayed and utilized for relationship examination.Nevertheless,no reli...A graph invariant is a number that can be easily and uniquely calculated through a graph.Recently,part of mathematical graph invariants has been portrayed and utilized for relationship examination.Nevertheless,no reliable appraisal has been embraced to pick,how much these invariants are associated with a network graph in interconnection networks of various fields of computer science,physics,and chemistry.In this paper,the study talks about sudoku networks will be networks of fractal nature having some applications in computer science like sudoku puzzle game,intelligent systems,Local area network(LAN)development and parallel processors interconnections,music composition creation,physics like power generation interconnections,Photovoltaic(PV)cells and chemistry,synthesis of chemical compounds.These networks are generally utilized in disorder,fractals,recursive groupings,and complex frameworks.Our outcomes are the normal speculations of currently accessible outcomes for specific classes of such kinds of networks of two unmistakable sorts with two invariants K-banhatti sombor(KBSO)invariants,Irregularity sombor(ISO)index,Contraharmonic-quadratic invariants(CQIs)and dharwad invariants with their reduced forms.The study solved the Sudoku network used in mentioned systems to improve the performance and find irregularities present in them.The calculated outcomes can be utilized for the modeling,scalability,introduction of new architectures of sudoku puzzle games,intelligent systems,PV cells,interconnection networks,chemical compounds,and extremely huge scope in very large-scale integrated circuits(VLSI)of processors.展开更多
Cucumber is one of the important vegetables in many countries. Information about physical properties of cucumber is necessary for designing, grading, sorting and processing operations. In this study, some physical pro...Cucumber is one of the important vegetables in many countries. Information about physical properties of cucumber is necessary for designing, grading, sorting and processing operations. In this study, some physical properties such as diameter, length, height, and weight of three varieties of cucumber (Green Gold, Dharwad, and Super Dominus) were measured. The results revealed that there was no significant difference (P〈0.01) in the density values of the studied varieties, but regarding other physical properties there were a significant difference (P〈0.01) among them. The average density for Green Gold, Dharwad and Super Dominus were 0.98, 0.95 and 0.94 g/cm^3, respectively. Green Gold cucumber had the highest diameter, volume, weight, flesh diameter, geometric mean diameter and sphericity. Dharwad and Super Dominus varieties with 15.49 cm length and 4.61 length to diameter ratio had the highest length and length to diameter ratio, respectively. Smallest skin thickness (1.48 cm) was for Super Dominus. Surface area of Green Gold, Dharwad and Super Dominus were 192.29, 192.4 and 131.2 cm^2. As well as there was a high and positive correlation between weight and volume in the studied varieties. There was a non-significant and low correlation (0.56) between diameter and length in Super Dominus. There was also a high and positive correlation between diameter and geometric mean diameter in all the varieties.展开更多
基金King Saud University through Researchers Supporting Project number(RSP2022R426),King Saud University,Riyadh,Saudi Arabia.
文摘A graph invariant is a number that can be easily and uniquely calculated through a graph.Recently,part of mathematical graph invariants has been portrayed and utilized for relationship examination.Nevertheless,no reliable appraisal has been embraced to pick,how much these invariants are associated with a network graph in interconnection networks of various fields of computer science,physics,and chemistry.In this paper,the study talks about sudoku networks will be networks of fractal nature having some applications in computer science like sudoku puzzle game,intelligent systems,Local area network(LAN)development and parallel processors interconnections,music composition creation,physics like power generation interconnections,Photovoltaic(PV)cells and chemistry,synthesis of chemical compounds.These networks are generally utilized in disorder,fractals,recursive groupings,and complex frameworks.Our outcomes are the normal speculations of currently accessible outcomes for specific classes of such kinds of networks of two unmistakable sorts with two invariants K-banhatti sombor(KBSO)invariants,Irregularity sombor(ISO)index,Contraharmonic-quadratic invariants(CQIs)and dharwad invariants with their reduced forms.The study solved the Sudoku network used in mentioned systems to improve the performance and find irregularities present in them.The calculated outcomes can be utilized for the modeling,scalability,introduction of new architectures of sudoku puzzle games,intelligent systems,PV cells,interconnection networks,chemical compounds,and extremely huge scope in very large-scale integrated circuits(VLSI)of processors.
文摘Cucumber is one of the important vegetables in many countries. Information about physical properties of cucumber is necessary for designing, grading, sorting and processing operations. In this study, some physical properties such as diameter, length, height, and weight of three varieties of cucumber (Green Gold, Dharwad, and Super Dominus) were measured. The results revealed that there was no significant difference (P〈0.01) in the density values of the studied varieties, but regarding other physical properties there were a significant difference (P〈0.01) among them. The average density for Green Gold, Dharwad and Super Dominus were 0.98, 0.95 and 0.94 g/cm^3, respectively. Green Gold cucumber had the highest diameter, volume, weight, flesh diameter, geometric mean diameter and sphericity. Dharwad and Super Dominus varieties with 15.49 cm length and 4.61 length to diameter ratio had the highest length and length to diameter ratio, respectively. Smallest skin thickness (1.48 cm) was for Super Dominus. Surface area of Green Gold, Dharwad and Super Dominus were 192.29, 192.4 and 131.2 cm^2. As well as there was a high and positive correlation between weight and volume in the studied varieties. There was a non-significant and low correlation (0.56) between diameter and length in Super Dominus. There was also a high and positive correlation between diameter and geometric mean diameter in all the varieties.