{"title":"Corrigendum to “Online purchasing under uncertainty”","authors":"A. Frieze","doi":"10.1002/rsa.21012","DOIUrl":null,"url":null,"abstract":"In “Online purchasing under uncertainty” we proved theorems concerning the cost of purchasing var-ious combinatorial structures (paths, cycles, etc.) in graphs with randomly weighted edges, which are examined and either purchased or discarded one-at-a-time by the purchaser. We discussed three models (POM, ROM, AOM) according to whether the edges were presented in a purchaser-selected order, a random order, or an (adaptive) adversarially selected order. The statements of Theorems 1.6–1.11 claim O(1) upper bounds in all three models but the proofs presented apply only to the ROM and POM models; as such we withdraw the claims of the AOM upper bounds from these results.","PeriodicalId":54523,"journal":{"name":"Random Structures & Algorithms","volume":"33 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Random Structures & Algorithms","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1002/rsa.21012","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, SOFTWARE ENGINEERING","Score":null,"Total":0}
引用次数: 1
Abstract
In “Online purchasing under uncertainty” we proved theorems concerning the cost of purchasing var-ious combinatorial structures (paths, cycles, etc.) in graphs with randomly weighted edges, which are examined and either purchased or discarded one-at-a-time by the purchaser. We discussed three models (POM, ROM, AOM) according to whether the edges were presented in a purchaser-selected order, a random order, or an (adaptive) adversarially selected order. The statements of Theorems 1.6–1.11 claim O(1) upper bounds in all three models but the proofs presented apply only to the ROM and POM models; as such we withdraw the claims of the AOM upper bounds from these results.
期刊介绍：
It is the aim of this journal to meet two main objectives: to cover the latest research on discrete random structures, and to present applications of such research to problems in combinatorics and computer science. The goal is to provide a natural home for a significant body of current research, and a useful forum for ideas on future studies in randomness.
Results concerning random graphs, hypergraphs, matroids, trees, mappings, permutations, matrices, sets and orders, as well as stochastic graph processes and networks are presented with particular emphasis on the use of probabilistic methods in combinatorics as developed by Paul Erdõs. The journal focuses on probabilistic algorithms, average case analysis of deterministic algorithms, and applications of probabilistic methods to cryptography, data structures, searching and sorting. The journal also devotes space to such areas of probability theory as percolation, random walks and combinatorial aspects of probability.
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