New and improved search algorithms and precise analysis of their average-case complexity

2019 ◽  
Vol 95 ◽  
pp. 743-753
Author(s):  
Şahin Emrah Amrahov ◽  
Adnan Saher Mohammed ◽  
Fatih V. Çelebi
2011 ◽  
Vol 8 (2) ◽  
pp. 625-629
Author(s):  
Baghdad Science Journal

There are many methods of searching large amount of data to find one particular piece of information. Such as find name of person in record of mobile. Certain methods of organizing data make the search process more efficient the objective of these methods is to find the element with least cost (least time). Binary search algorithm is faster than sequential and other commonly used search algorithms. This research develops binary search algorithm by using new structure called Triple, structure in this structure data are represented as triple. It consists of three locations (1-Top, 2-Left, and 3-Right) Binary search algorithm divide the search interval in half, this process makes the maximum number of comparisons (Average case complexity of Search) is O(log2 n) (pronounce this "big-Oh-n" or "the order of magnitude"), if we search in a list consists of (N) elements. In this research the number of comparison is reduced to triple by using Triple structure, this process makes the maximum number of comparisons is O(log2 (n)/3+1) if we search key in list consist of (N) elements.


2018 ◽  
Vol 28 (4) ◽  
pp. 201-221
Author(s):  
Aleksandr V. Chashkin

Abstract The average-case complexity of computation of underdetermined functions by straight-line programs with conditional stop over the basis of all at most two-place Boolean functions is considered. Correct order estimates of the average-case complexity of functions with maximum average-case complexity among all underdetermined functions are derived depending on the degree of their determinacy, the size of their domain, and the size of their support.


1997 ◽  
Vol 26 (1) ◽  
pp. 1-14 ◽  
Author(s):  
Laurent Alonso ◽  
Edward M. Reingold ◽  
René Schott

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