Skip to main content

Algorithm for Finding Minimum Dominating Set Using Sticker Based Model in DNA Computing

  • Chapter
New Trends in Computational Vision and Bio-inspired Computing
  • 70 Accesses

Abstract

Dominating set problem is a famous problem that finds applications in many fields. In this paper, an algorithm based on DNA Computing sticker-based model is proposed for finding dominating set in a given graph. Here, initially solution space containing all possible dominating sets of a graph is constructed and then the solution space is filtered iteratively until the desired solution set is obtained. Along with the operations in the sticker-based model, operations defined for DNA computer sticker-based model ALU is used.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. L.M. Adelman, “Molecular Computation of solutions to Combinatorial Problems,” Science, 226, 1994.

    Google Scholar 

  2. Gambhir, Mahak & Kothapalli, Kishore, “A study on the minimum dominating set problem approximation in parallel,” International Conference on Contemporary Computing, 2017.

    Google Scholar 

  3. Hedefniemi S. T., Renu Laskar and John Pfaff, “A linear algorithm for finding a minimum dominating set in a cactus,” Discrete Applied Mathematics, Vol. No.13, Issue No. 6, 1975, pp.287–392.

    Google Scholar 

  4. Kari L., “DNA Computing: Arrival of biological mathematics ,” The Mathematical Intelligencer, Vol. No.19, 1997, pp.9–22.

    Google Scholar 

  5. Mayukh Sarkar, Prasun Ghosal, Saraju P. Mohanty, “Exploring the Feasibility of a DNA Computer: Design of an ALU Using Sticker-Based DNA Model,” IEEE Transactions on Nanobioscience, Vol. No.16, Issue No. 6, 2017, pp.383–399.

    Google Scholar 

  6. Mathieu Liedloff, “Finding a dominating set on bipartite graphs,” Information Processing Letter, Vol. No.107, Issue No. 5, 2008, pp.154–157.

    Google Scholar 

  7. Minyi Guo, Michael Ho, Weng-Long Chang, “Fast parallel molecular solution to the dominating-set problem on massively parallel computing,” Parallel Computing - Special issue: High-performance parallel bio-computing, Vol. No.30, Issue No. 9–10, 2004, pp.1109–1125.

    Google Scholar 

  8. T. Pramanik, S. Mondal, M. Pal , “Minimum 2-Tuple Dominating Set of an Interval Graph ,” International Journal of Combinatorics, 2011, pp.1–14.

    Google Scholar 

  9. S. Roweis, E. Winfree, R. Burgoyne, NV Chelyapov, MF Goodman, PW Rothemund , LM. Adleman , “A sticker-based model for DNA computation ,” J. Comput. Biol, Vol.No.5, Issue No. 4, 1998, pp.615–629.

    Google Scholar 

  10. Taghipour T., Rezaei M., H. A. Esmaili, “Applying surface-based DNA computing for solving the dominating set problem,” American Journal of Molecular Biology, Vol.No.2, 2012, pp.286–290.

    Google Scholar 

  11. Xu Zhou, GuangXue Yue, ZhiBang Yang, Ken;li Li “A New Approach for the Dominating-Set Problem by DNA-Based Supercomputing,” Proceedings of the Second Symposium International Computer Science and Computational Technology (ISCSCT’09), 2009, pp.514–516.

    Google Scholar 

  12. Zhixiang Yin, Jianzhong Cui, Yan Yang, Yin Ma, Wei Wang, Jin Yang, Xia Sun, (2012) “DNA computing for a dominating set problem based on sticker models,” Kybernetes, Vol. No. 41, Issue No. 9, pp.1343–1350,

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. Sudha .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this chapter

Cite this chapter

Sudha, V., Easwarakumar, K.S. (2020). Algorithm for Finding Minimum Dominating Set Using Sticker Based Model in DNA Computing. In: Smys, S., Iliyasu, A.M., Bestak, R., Shi, F. (eds) New Trends in Computational Vision and Bio-inspired Computing. Springer, Cham. https://doi.org/10.1007/978-3-030-41862-5_26

Download citation

Publish with us

Policies and ethics