Survey on decomposition of multiple coverings
J Pach, D Pálvölgyi, G Tóth - Geometry—Intuitive, Discrete, and Convex: A …, 2013 - Springer
J Pach, D Pálvölgyi, G Tóth
Geometry—Intuitive, Discrete, and Convex: A Tribute to László Fejes Tóth, 2013•SpringerThe study of multiple coverings was initiated by Davenport and L. Fejes Tóth more than 50
years ago. In 1980 and 1986, the first named author published the first papers about
decomposability of multiple coverings. It was discovered much later that, besides its
theoretical interest, this area has practical applications to sensor networks. Now there is a lot
of activity in this field with several breakthrough results, although, many basic questions are
still unsolved. In this survey, we outline the most important results, methods, and questions.
years ago. In 1980 and 1986, the first named author published the first papers about
decomposability of multiple coverings. It was discovered much later that, besides its
theoretical interest, this area has practical applications to sensor networks. Now there is a lot
of activity in this field with several breakthrough results, although, many basic questions are
still unsolved. In this survey, we outline the most important results, methods, and questions.
Abstract
The study of multiple coverings was initiated by Davenport and L. Fejes Tóth more than 50 years ago. In 1980 and 1986, the first named author published the first papers about decomposability of multiple coverings. It was discovered much later that, besides its theoretical interest, this area has practical applications to sensor networks. Now there is a lot of activity in this field with several breakthrough results, although, many basic questions are still unsolved. In this survey, we outline the most important results, methods, and questions.
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