Objective: A collection of objects are stored in multiple hosts distributively such that each host only has a partial collection. The problem is to tell the icebergs amongst these objects without using centralised server.

The solution proposed is called linked counting bloom filter. This is a counting bloom filter, but instead of a counter in each “bin”, a linked list is used. The way it works is as follows: When a host counts, it insert the object into the counting bloom filter. The counters are incremented only if the counters correspond to the set of hash functions are all the same. This could be either zero (the object is new) or non-zero (the object already included). However, if not all counters are the same, this means the object is new but experiencing a crash. Instead of simply incrementing the counters, a new counter will be created and chained as a linked list with the old one.

Afterward, we say that an object is already included in the counting bloom filter only if every bin correspond to the hash functions has a counter of common value. Not that only the counters exists in the bloom filter and we still cannot retrieve the object from it.

To count distributively, we pass on the bloom filter from node to node and after it pass through all the nodes, we can check for icebergs.

## Bibliographic data

@inproceedings{
title = "A Distributed Algorithm for Finding Global Icebergs with Linked Counting Bloom Filters",
author = "Kui Wu and Yang Xiao and Jie Li and Bo Sun",
booktitle = "ICC'08",
year = "2008",
}