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### Bhuvana Vijaya, R.

- A Study on Hybrid Genetic Algorithms in Graph Coloring Problem

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1 Dept. of Mathematics, JNTU A, Anantapuramu, IN

2 Dept. of H and S, RSR Engineering College, Kadanuthala, IN

#### Authors

**Affiliations**

1 Dept. of Mathematics, JNTU A, Anantapuramu, IN

2 Dept. of H and S, RSR Engineering College, Kadanuthala, IN

#### Source

Research Journal of Science and Technology, Vol 9, No 3 (2017), Pagination: 392-394#### Abstract

The field of mathematics plays a vital role in various fields. One of the most important areas in mathematics is graph theory. Graph coloring arises naturally in a variety of applications such as register allocation and timetable, examination scheduling, map coloring, radio frequency assignment, pattern matching, Sudoku, telecommunication and bioinformatics. Graph coloring problem is a combinatorial optimization problem applicable in many problems existing nowadays. To solve the graph coloring problem, Genetic Algorithm, a calculus free optimization technique based on principles of natural selection for reproduction and various evolutionary operations such as crossover and mutation is used. Many algorithms are available to solve a Graph coloring problem. A recent and very promising approach is to embed local search into the framework of Evolutionary algorithm. This approach of hybridization is very powerful and these algorithms are carried out on large DIMACS challenge benchmark graphs. The results are very competitive and even better than those of state of the art algorithms. This paper focuses on reviewing the recent literature on hybrid genetic algorithm, and recommending state of the art algorithm in GCP.#### Keywords

Graph Coloring Problem, Local Search, Evolutionary Algorithm, Genetic Algorithm, Hybrid Evolutionary Algorithm.#### References

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- Shahvali M., and et al. “A fuzzy genetic algorithm with local search for university course timetabling”, Proc. of ICM12011, pp.250-254, 2011.
- Ali, F. F., Nakao, Z., Tan, R. B., and Yen-Wei, Chen. 1999. An evolutionary approach for graph coloring. In Proceedings of The International Conference on Systems, Man, and Cybernetics, 527- 532. IEEE.
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- Study of Jeffrey Fluid Flow in an Inclined Tube with Overlapping Stenosis

Abstract Views :203 |
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1 Dept. of Mathematics, TKR College of Engineering and Technology, Hyderabad, IN

2 Dept. of Mathematics, JNTUA College of Engineering, Anantapur, A.P., IN

#### Authors

**Affiliations**

1 Dept. of Mathematics, TKR College of Engineering and Technology, Hyderabad, IN

2 Dept. of Mathematics, JNTUA College of Engineering, Anantapur, A.P., IN

#### Source

Research Journal of Science and Technology, Vol 9, No 3 (2017), Pagination: 400-404#### Abstract

This problem deals with the theoretical study of Jeffrey fluid flow through an inclined tube with overlapping stenosis. The nonlinear equations are simplified by considering mild stenosis. The exact solutions are obtained for velocity, pressure drop, flow rate, resistance to the flow and wall shear stress. Effects of different physical parameters like Jeffrey fluid parameter and angle of inclination on resistance to the flow and wall shear stress are studied. The effects of various emerging parameters are discussed through graphs for different values of interest.#### Keywords

Overlapping Stenosis, Resistance to the Flow, Shear Stress, Stenosis Throat, Jeffrey Fluid Parameter.#### References

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