Research Article
Citation: J.Chithra, S.P.Subbiah,V.Swaminathan. "DNA Computing Models.Springer. 2008. Domination in Permutation Graphs." International Journal of Computing Algorithm 3.1 (2014): 61-64. |
If i, j belongs to a permutation on n symbols {1, 2, …, p} and i is less than j then there is an edge between i and j in the permutation graph if i appears after j. (i. e) inverse of i is greater than the inverse of j. So the line of i crosses the line of j in the permutation. So there is a one to one correspondence between crossing of lines in the permutation and the edges of the corresponding permutation graph. In this paper we found the conditions for a permutation to realize paths and cycles and also derived the domination number of permutation graph through the permutation. AMS Subject Classification (2010): 05C35, 05C69, 20B30.
Keywords Permutation Graphs, Domination Number of a Permutation
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@article{DNA1458766, author = {J.Chithra,S.P.Subbiah,V.Swaminathan}, title = {DNA Computing Models.Springer. 2008. Domination in Permutation Graphs}, journal={International Journal of Computing Algorithm}, volume={3}, issue={1}, issn = {2278-2397}, year = {2014}, publisher = {Scholarly Citation Index Analytics-SCIA}
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