대한수학회지 (Journal of the Korean Mathematical Society)

  • 제44권6호
  • /
  • Pages.1213-1231
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  • 2007
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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THE BONDAGE NUMBER OF C3×Cn

  • Sohn, Moo-Young (DEPARTMENT OF APPLIED MATHEMATICS CHANGWON NATIONAL UNIVERSITY) ;
  • Xudong, Yuan (DEPARTMENT OF MATHEMATICS GUANGXI NORMAL UNIVERSITY) ;
  • Jeong, Hyeon-Seok (DEPARTMENT OF APPLIED MATHEMATICS CHANGWON NATIONAL UNIVERSITY)
  • 발행 : 2007.11.30
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초록

The domination number ${\gamma}(G)$ of a graph G=(V,E) is the minimum cardinality of a subset of V such that every vertex is either in the set or is adjacent to some vertex in the set. The bondage number of b(G) of a graph G is the cardinality of a smallest set of edges whose removal from G results in a graph with domination number greater than ${\gamma}(G)$. In this paper, we calculate the bondage number of the Cartesian product of cycles $C_3\;and\;C_n$ for all n.

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참고문헌

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피인용 문헌

  1. The total bondage number of grid graphs vol.160, pp.16-17, 2012, https://doi.org/10.1016/j.dam.2012.06.012
  2. On Bondage Numbers of Graphs: A Survey with Some Comments vol.2013, 2013, https://doi.org/10.1155/2013/595210
  3. Bondage number of the strong product of two trees vol.230, 2017, https://doi.org/10.1016/j.dam.2017.06.019
  4. The bondage number of the strong product of a complete graph with a path and a special starlike tree vol.08, pp.01, 2016, https://doi.org/10.1142/S1793830916500063
  5. Bondage Numbers ofC4Bundles over a CycleCn vol.2013, 2013, https://doi.org/10.1155/2013/520251
  6. Upper bounds on the bondage number of the strong product of a graph and a tree 2017, https://doi.org/10.1080/00207160.2017.1291931
  7. Bondage number of mesh networks vol.7, pp.5, 2012, https://doi.org/10.1007/s11464-012-0173-x
  8. Bondage number of strong product of two paths vol.10, pp.2, 2015, https://doi.org/10.1007/s11464-014-0391-5