# An Exact Algorithm for TSP in Degree-3 Graphs Via Circuit Procedure and Amortization on Connectivity Structure

@article{Xiao2015AnEA,
title={An Exact Algorithm for TSP in Degree-3 Graphs Via Circuit Procedure and Amortization on Connectivity Structure},
author={Mingyu Xiao and Hiroshi Nagamochi},
journal={Algorithmica},
year={2015},
volume={74},
pages={713-741}
}
• Published 31 December 2012
• Computer Science
• Algorithmica
The paper presents an $$O^*(1.2312^n)$$O∗(1.2312n)-time and polynomial-space algorithm for the traveling salesman problem in an $$n$$n-vertex graph with maximum degree 3. This improves all previous time bounds of polynomial-space algorithms for this problem. Our algorithm is a simple branch-and-search algorithm with only one branch rule designed on a cut-circuit structure of a graph induced by unprocessed edges. To improve a time bound by a simple analysis on measure and conquer, we introduce…

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