A -approximation algorithm for Graphic TSP in cubic bipartite graphs
نویسندگان
چکیده
We prove new results for approximating Graphic TSP. Specifically, we provide a polynomialtime 9 7 -approximation algorithm for cubic bipartite graphs and a ( 9 7 + 1 21(k−2) )-approximation algorithm for k-regular bipartite graphs, both of which are improved approximation factors compared to previous results. Our approach involves finding a cycle cover with relatively few cycles, which we are able to do by leveraging the fact that all cycles in bipartite graphs are of even length along with our knowledge of the structure of cubic graphs. 1998 ACM Subject Classification F.2.2 Nonnumerical Algorithms and Problems
منابع مشابه
A 9/7 -Approximation Algorithm for Graphic TSP in Cubic Bipartite Graphs
We prove new results for approximating Graphic TSP. Specifically, we provide a polynomial-time 9 7 -approximation algorithm for cubic bipartite graphs and a ( 9 7 + 1 21(k−2) )-approximation algorithm for k-regular bipartite graphs, both of which are improved approximation factors compared to previous results. Our approach involves finding a cycle cover with relatively few cycles, which we are ...
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عنوان ژورنال:
- Discrete Applied Mathematics
دوره 209 شماره
صفحات -
تاریخ انتشار 2016