Title
Distributed storage allocations and a hypergraph conjecture of Erdős
Abstract
We study two variations of the distributed storage allocation problem. The goal is to allocate a given storage budget in a distributed storage system for maximum reliability. It was recently discovered that this problem is related to an old conjecture in extremal combinatorics, on the maximum number of edges in a hypergraph subject to a constraint on its maximum matching number. The conjecture was recently verified in some regimes. In this paper we assume that the conjecture is true and establish new results for the optimal allocation for a variety of parameter values. We also derive new performance bounds that are independent of the conjecture, and compare them to the best previously known bounds.
Year
DOI
Venue
2013
10.1109/ISIT.2013.6620357
ISIT
Keywords
Field
DocType
hypergraph conjecture,storage allocation,encoding,erdös,reliability,graph theory,distributed storage allocations,resource management,information theory,electrical engineering,upper bound,probabilistic logic,random variables
Graph theory,Discrete mathematics,Combinatorics,Distributed data store,Hypergraph,Matching (graph theory),Extremal combinatorics,Conjecture,Mathematics,Encoding (memory)
Conference
ISSN
Citations 
PageRank 
2157-8095
2
0.42
References 
Authors
4
4
Name
Order
Citations
PageRank
Yi-hsuan Kao152.49
Alexandros G. Dimakis23575206.71
Derek Leong316110.86
Tracey Ho477559.30