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
Rapidly increasing capacities,decreasing costs,and improvements in computational power,storage,and communication technologies have led to the development of many applications that carry increasingly large amounts of ...Rapidly increasing capacities,decreasing costs,and improvements in computational power,storage,and communication technologies have led to the development of many applications that carry increasingly large amounts of traffic on the global networking infrastructure.Smart devices lead to emerging technologies and play a vital role in rapid evolution.Smart devices have become a primary 24/7 need in today’s information technology world and include a wide range of supporting processing-intensive applications.Extensive use of many applications on smart devices results in increasing complexity of mobile software applications and consumption of resources at a massive level,including smart device battery power,processor,and RAM,and hinders their normal operation.Appropriate resource utilization and energy efficiency are fundamental considerations for smart devices because limited resources are sporadic and make it more difficult for users to complete their tasks.In this study we propose the model of mobile energy augmentation using cloud computing(MEACC),a new framework to address the challenges of massive power consumption and inefficient resource utilization in smart devices.MEACC efficiently filters the applications to be executed on a smart device or offloaded to the cloud.Moreover,MEACC efficiently calculates the total execution cost on both the mobile and cloud sides including communication costs for any application to be offloaded.In addition,resources are monitored before making the decision to offload the application.MEACC is a promising model for load balancing and power consumption reduction in emerging mobile computing environments.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.
基金Project supported by the Deanship of Scientific Research(DSR)at King Abdulaziz University,Jeddah,Saudi Arabia(No.D-154-611-1440)。
文摘Rapidly increasing capacities,decreasing costs,and improvements in computational power,storage,and communication technologies have led to the development of many applications that carry increasingly large amounts of traffic on the global networking infrastructure.Smart devices lead to emerging technologies and play a vital role in rapid evolution.Smart devices have become a primary 24/7 need in today’s information technology world and include a wide range of supporting processing-intensive applications.Extensive use of many applications on smart devices results in increasing complexity of mobile software applications and consumption of resources at a massive level,including smart device battery power,processor,and RAM,and hinders their normal operation.Appropriate resource utilization and energy efficiency are fundamental considerations for smart devices because limited resources are sporadic and make it more difficult for users to complete their tasks.In this study we propose the model of mobile energy augmentation using cloud computing(MEACC),a new framework to address the challenges of massive power consumption and inefficient resource utilization in smart devices.MEACC efficiently filters the applications to be executed on a smart device or offloaded to the cloud.Moreover,MEACC efficiently calculates the total execution cost on both the mobile and cloud sides including communication costs for any application to be offloaded.In addition,resources are monitored before making the decision to offload the application.MEACC is a promising model for load balancing and power consumption reduction in emerging mobile computing environments.