Graph drawing using Jaya

Graph drawing, involving the automatic layout of graphs, is vital for clear data visualization and interpretation but poses challenges due to the optimization of a multi-metric objective function, an area where current search-based methods seek improvement. In this paper, we investigate the performa...

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Veröffentlicht in:PloS one 2023-06, Vol.18 (6), p.e0287744-e0287744
Hauptverfasser: Dib, Fadi K, Rodgers, Peter
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description Graph drawing, involving the automatic layout of graphs, is vital for clear data visualization and interpretation but poses challenges due to the optimization of a multi-metric objective function, an area where current search-based methods seek improvement. In this paper, we investigate the performance of Jaya algorithm for automatic graph layout with straight lines. Jaya algorithm has not been previously used in the field of graph drawing. Unlike most population-based methods, Jaya algorithm is a parameter-less algorithm in that it requires no algorithm-specific control parameters and only population size and number of iterations need to be specified, which makes it easy for researchers to apply in the field. To improve Jaya algorithm's performance, we applied Latin Hypercube Sampling to initialize the population of individuals so that they widely cover the search space. We developed a visualization tool that simplifies the integration of search methods, allowing for easy performance testing of algorithms on graphs with weighted aesthetic metrics. We benchmarked the Jaya algorithm and its enhanced version against Hill Climbing and Simulated Annealing, commonly used graph-drawing search algorithms which have a limited number of parameters, to demonstrate Jaya algorithm's effectiveness in the field. We conducted experiments on synthetic datasets with varying numbers of nodes and edges using the Erdős-Rényi model and real-world graph datasets and evaluated the quality of the generated layouts, and the performance of the methods based on number of function evaluations. We also conducted a scalability experiment on Jaya algorithm to evaluate its ability to handle large-scale graphs. Our results showed that Jaya algorithm significantly outperforms Hill Climbing and Simulated Annealing in terms of the quality of the generated graph layouts and the speed at which the layouts were produced. Using improved population sampling generated better layouts compared to the original Jaya algorithm using the same number of function evaluations. Moreover, Jaya algorithm was able to draw layouts for graphs with 500 nodes in a reasonable time.
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We benchmarked the Jaya algorithm and its enhanced version against Hill Climbing and Simulated Annealing, commonly used graph-drawing search algorithms which have a limited number of parameters, to demonstrate Jaya algorithm's effectiveness in the field. We conducted experiments on synthetic datasets with varying numbers of nodes and edges using the Erdős-Rényi model and real-world graph datasets and evaluated the quality of the generated layouts, and the performance of the methods based on number of function evaluations. We also conducted a scalability experiment on Jaya algorithm to evaluate its ability to handle large-scale graphs. Our results showed that Jaya algorithm significantly outperforms Hill Climbing and Simulated Annealing in terms of the quality of the generated graph layouts and the speed at which the layouts were produced. Using improved population sampling generated better layouts compared to the original Jaya algorithm using the same number of function evaluations. 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subjects Aesthetics
Algorithms
Analysis
Animals
Biology and Life Sciences
Climbing
Computer and Information Sciences
Data Visualization
Datasets
Efficiency
Esthetics
Graph theory
Graphic methods
Graphs
Holometabola
Humans
Hypercubes
Latin hypercube sampling
Layouts
Methods
Nodes
Objective function
Optimization
Optimization techniques
Parameters
Physical Sciences
Population number
Population sampling
Research and Analysis Methods
Sampling
Scientific visualization
Search algorithms
Search methods
Simulated annealing
Straight lines
Synthetic data
Visualization
Visualization (Computers)
title Graph drawing using Jaya
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