@techreport{ilprints99,
 number = {1995-31},
 type = {Technical Report},
 title = {Result Verification Algorithms for Optimization Problems.},
 author = {H. Gupta},
 publisher = {Stanford},
 year = {1995},
 institution = {Stanford Infolab},
 url = {http://ilpubs.stanford.edu:8090/99/},
 abstract = {In this article we discuss the design of result verification algorithms for optimization problems. In particular, we design time-optimal result verification algorithms which verify the solution of all-pairs shortest paths, maximum-flow in a network, and matching problems. We prove that polynomial-time verification algorithms for NP-complete problems do not exist exist, unless P = NP. Result verification problems for most of the NP-hard problems are not believed to be in NP. W e also consider verification algorithms for approximation algorithms for NP-complete and NP-hard problems.}
}
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