Analysis of Hashing with Chaining: Average Case
{"Image DocumentName": "Analysis of Hashing with Chaining: Average Case", "Image ImageDescription": "Worst case: All n keys hash to the same slot. Then search/delete operations may take \uf051(n) Average case depends on how well the hash function distributes the n keys among the m slots. Simple uniform hashing: Any given element is equally likely to hash into any of the m slots. (i.e. when T is empty, collision probability Pr(h(x)=h(y)), is 1/m) Length of a list: nj, j = 0, 1, , m \u2013 1. Number of keys in the table: n = n0 + n1 +\u00b7 \u00b7 \u00b7 + nm-1. Average value of nj: E[nj] = \u03b1 = n/m. Load factor of a hash table T: \uf061 = n/m. \uf061 = the average number of elements stored in a chain. n0 = 0. nm-1 = 0. T. n2. n3. nj. nk.", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}