Austin Beal, Yacine Bouabida, Samuel C. Gutekunst, Asta Rustad
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引用次数: 0
Abstract
Circulant TSP is an intriguing special case of the Traveling Salesman Problem, whose complexity remains an often-cited open problem. In this note, we present three results: We show that circulant TSP can be efficiently solved whenever the input number of vertices is a prime-squared; we show that the -TSP can be easily and efficiently solved when specialized to circulant instances; and we present a substantially-improved approximation factor for finding a minimum-cost Eulerian connected sub-(multi)graph on two-stripe circulant instances.
期刊介绍：
Operations Research Letters is committed to the rapid review and fast publication of short articles on all aspects of operations research and analytics. Apart from a limitation to eight journal pages, quality, originality, relevance and clarity are the only criteria for selecting the papers to be published. ORL covers the broad field of optimization, stochastic models and game theory. Specific areas of interest include networks, routing, location, queueing, scheduling, inventory, reliability, and financial engineering. We wish to explore interfaces with other fields such as life sciences and health care, artificial intelligence and machine learning, energy distribution, and computational social sciences and humanities. Our traditional strength is in methodology, including theory, modelling, algorithms and computational studies. We also welcome novel applications and concise literature reviews.
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