This paper takes the next step in developing the theory of average case complexity initiated by Leonid A Levin. Previous works Levin 84, Gurevich 87, Venkatesan and Levin 88] have...
This is an attempt to simplify and justify the notions of deterministicand randomized reductions, an attempt to derive these notions from (more or less) rst principles.
We demonstrate an ⍀( pn1ϩ1/p) lower bound on the average-case running time (uniform distribution) of p-pass Shellsort. This is the first nontrivial general lower bound for avera...
: Average case analysis forms an interesting and intriguing part of algorithm theory since it explains why some algorithms with bad worst-case complexity can better themselves in p...
Levin introduced an average-case complexity measure, based on a notion of \polynomialon average," and de ned \average-case polynomial-time many-one reducibility" amongra...