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Domination Search on Graphs with Low Dominating-Target-Number

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Graph-Theoretic Concepts in Computer Science (WG 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3787))

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Abstract

We settle two conjectures on domination-search, a game proposed by Fomin et.al. [1], one in affirmative and the other in negative. The two results presented here are (1) domination search number can be greater than domination-target number, (2) domination search number for asteroidal-triple-free graphs is at most 2.

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© 2005 Springer-Verlag Berlin Heidelberg

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Aggarwal, D., Mehta, S.K., Deogun, J.S. (2005). Domination Search on Graphs with Low Dominating-Target-Number. In: Kratsch, D. (eds) Graph-Theoretic Concepts in Computer Science. WG 2005. Lecture Notes in Computer Science, vol 3787. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11604686_3

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  • DOI: https://doi.org/10.1007/11604686_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-31000-6

  • Online ISBN: 978-3-540-31468-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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