Expander graph based overlapped chunked codes

2012 ◽  
Author(s):  
Bin Tang ◽  
Shenghao Yang ◽  
Yitong Yin ◽  
Baoliu Ye ◽  
Sanglu Lu
Keyword(s):  
Expander Graph ◽  
Chunked Codes

scholarly journals Splitting an Expander Graph

1999 ◽  
Vol 33 (1) ◽  
pp. 166-172 ◽  
Author(s):  
Alan M Frieze ◽  
Michael Molloy
Keyword(s):  
Expander Graph

BIPARTITE EXPANDER MATCHING IS IN NC

1995 ◽  
Vol 05 (03) ◽  
pp. 413-420 ◽  
Author(s):  
DAVID J. HAGLIN
Keyword(s):  
Maximum Matching ◽  
Expander Graph ◽  
Expansion Factor ◽  
Matching Algorithm ◽  
Large Expansion ◽  
Deterministic Formula

A work-efficient deterministic [Formula: see text] algorithm is presented for finding a maximum matching in a bipartite expander graph with any expansion factor β > 1. This improves upon a recently presented deterministic [Formula: see text] maximum matching algorithm which is restricted to those bipartite expanders with large expansion factors (β ≥ Δ∊, ∊ > 0), and is not work-efficient [1].

scholarly journals One-Probe Search

2002 ◽  
Vol 9 (9) ◽  
Author(s):  
Anna Östlin ◽  
Rasmus Pagh
Keyword(s):  
Data Structure ◽  
Correct Answer ◽  
Memory Location ◽  
Single Word ◽  
Expander Graph ◽  
Running Time

We consider dictionaries that perform lookups by probing a <em>single word</em> of memory, knowing only the size of the data structure. We describe a randomized dictionary where a lookup returns the correct answer with probability 1 - epsilon, and otherwise returns "don't know''. The lookup procedure uses an expander graph to select the memory location to probe. Recent explicit expander constructions are shown to yield space usage much smaller than what would be required using a deterministic lookup procedure. Our data structure supports efficient <em>deterministic</em> updates, exhibiting new probabilistic guarantees on dictionary running time.

scholarly journals Expander chunked codes

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Bin Tang ◽  
Shenghao Yang ◽  
Baoliu Ye ◽  
Yitong Yin ◽  
Sanglu Lu
Keyword(s):  
Chunked Codes
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