논문KCI 등재
Total dominations in P6-free graphs
대한수학회 (The Korean Mathematical Society)|2013.10|대한수학회논문집 (Communications of the KMS)|제28권 제4호|pp. 857-863
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In this paper, we prove that the total domination number ofa P6-free graph of order n≥ 3 and minimum degree at least one which isnot the cycle of length 6 is at most n+1 2, and the bound is sharp.
Abstract
In this paper, we prove that the total domination number ofa P6-free graph of order n≥ 3 and minimum degree at least one which isnot the cycle of length 6 is at most n+1 2, and the bound is sharp.
참고문헌 (7)
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- P. Dorbec, "Paired-domination in P5-free graphs", Graphs Combin, 24(4), pp.303~308 (2008)
- O. Favaron, "Total domination in claw-free graphs with minimum degree 2", Discrete Math, 308(15), pp.3213~3219 (2008)
- O. Favaron, "Total domination in graphs with minimum degree three", J. Graph Theory, 34(1), pp.9~19 (2000)
- M. A. Henning, "Graphs with large total domination number", J. Graph Theory, 35(1), pp.21~45 (2000)
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