2020/11/23 by Eklavya Sharma, Sharma, Eklavya
Computer Science · Engineering · #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #Manufacturing Process and Optimization #Material Properties and Processing #Optimization and Packing Problems #cs.DM #cs.DS
paper · pdf · doi:10.48550/arxiv.2011.11618
Update: fixed typo and added acknowledgements
openalex publication_date 2020/11/23 · arxiv created 2020/12/17 · arxiv updated 2020/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The harmonic function was first introduced by Lee and Lee (JACM 1985) for analyzing their online bin-packing algorithm. Subsequently, it has been used to obtain approximation algorithms for many different packing problems. Here we slightly generalize the harmonic function and give alternative proofs of its important properties.