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Bumblebee Visitation Problem

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Algorithms and Discrete Applied Mathematics (CALDAM 2019)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11394))

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Abstract

Bumblebee visitation problem is defined on connected graphs where a mobile agent, called Bumblebee, moves along the edges under some rules to achieve some optimization function. We prove this problem to be NP-hard for general graphs. We present a linear time algorithm for this problem on trees.

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References

  1. Alspach, B.: Searching and sweeping graphs: a brief survey. Matematiche (Catania) 59, 5–37 (2006)

    MathSciNet  MATH  Google Scholar 

  2. Angelopoulos, S., Fraignaud, P., Fomin, F., Nisse, N., Thilikos, D.M.: Report on GRASTA 2017, 6th Workshop on GRAph Searching, Theory and Applications, 10–13 April 2017, Anogia, Crete, Greece (2017)

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  3. Fomin, F.V., Thilikos, D.M.: An annotated bibliography on guaranteed graph searching. Theor. Comput. Sci. 399(3), 236–245 (2008)

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  4. Hefetz, D., Krivelevich, M., Stojaković, M., Szabó, T.: Positional Games. OWS. Springer, Basel (2014). https://doi.org/10.1007/978-3-0348-0825-5

    Book  MATH  Google Scholar 

  5. Garey, M.R., Johnson, D.S.: Computers and Intractability: A Guide to the Theory of NP-Completeness. W. H. Freeman and Co., New York (1979)

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  6. West, D.B.: Introduction to Graph Theory, 2nd edn. Pearson Education, London (2001)

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Acknowledgements

The authors would like to thank the referees for their valuable comments which lead to an improvement of the original manuscript. Authors would also like to thank Uma kant Sahoo for positive discussions.

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Correspondence to Harmender Gahlawat .

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Das, S., Gahlawat, H. (2019). Bumblebee Visitation Problem. In: Pal, S., Vijayakumar, A. (eds) Algorithms and Discrete Applied Mathematics. CALDAM 2019. Lecture Notes in Computer Science(), vol 11394. Springer, Cham. https://doi.org/10.1007/978-3-030-11509-8_21

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  • DOI: https://doi.org/10.1007/978-3-030-11509-8_21

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-11508-1

  • Online ISBN: 978-3-030-11509-8

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