International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mathematics | India | Volume 3 Issue 6, June 2014 | Popularity: 6.3 / 10


     

A Fully Polynomial Time Approximation Scheme for Weight Constrained BTSP with Two Linear Constraints on Halin Graphs

Dharamananada Gahir


Abstract: In this paper we show that the weight constrained version of BTSP i. e. WCBTSP on a Halin graph with n nodes can be solved in O (nlogn) time. We also show that WCBTSP with two linear constraints on a Halin graph can be solved in O (n (W1+1) 2 logn) time; where W1 denotes the first right hand side constant.


Keywords: Bottleneck Travelling Salesman Problem, Halin graph, NP-Complete, Threshold algorithm, polynomial time approximation scheme


Edition: Volume 3 Issue 6, June 2014


Pages: 315 - 317



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Dharamananada Gahir, "A Fully Polynomial Time Approximation Scheme for Weight Constrained BTSP with Two Linear Constraints on Halin Graphs", International Journal of Science and Research (IJSR), Volume 3 Issue 6, June 2014, pp. 315-317, https://www.ijsr.net/getabstract.php?paperid=2014131, DOI: https://www.doi.org/10.21275/2014131



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