Random B Trees With Inserts And Deletes
Random B Trees With Inserts And Deletes
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, A2p-i) p + ;■ - 1 IS odd Note that not every node order has the chance of gaining on a merge operation. In particular, if p is even, then (3p — 2)/2 is the largest order of nodes that will gain; if p is odd, then (3p — l)/2 is the largest order of nodes that will gain.
Since the structure of the evolution of the B-tree is different if p is odd or even, let us examine first the case when p is even. An order t node will be merged with its neighbor if its neighbor is of order p and receives a de...lete (assume a node merges with its right neighbor, except if the node is the rightmost node, in which case it merges with its left neighbor). The probability that a node of order i is the neighbor of the merging node is Ai(L)/V{L). The result of the merge operation is two nodes of order {i -\- p— l)/2, or a node of order (i -I- p)/2 and a node of order {i + p — 2)/2. Therefore, one node of order j will be created if a node of order 2j — p or a node or order 2i — p -I- 2 is merged, and two nodes of order i will be created if a node of order 2j - p -I- 1 is merged.
What to read after Random B Trees With Inserts And Deletes?
You can find similar books in the "Read Also" column, or choose other free books by Theodore Johnson to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
, A2p-i) p + ;■ - 1 IS odd Note that not every node order has the chance of gaining on a merge operation. In particular, if p is even, then (3p — 2)/2 is the largest order of nodes that will gain; if p is odd, then (3p — l)/2 is the largest order of nodes that will gain.
Since the structure of the evolution of the B-tree is different if p is odd or even, let us examine first the case when p is even. An order t node will be merged with its neighbor if its neighbor is of order p and receives a de...lete (assume a node merges with its right neighbor, except if the node is the rightmost node, in which case it merges with its left neighbor). The probability that a node of order i is the neighbor of the merging node is Ai(L)/V{L). The result of the merge operation is two nodes of order {i -\- p— l)/2, or a node of order (i -I- p)/2 and a node of order {i + p — 2)/2. Therefore, one node of order j will be created if a node of order 2j — p or a node or order 2i — p -I- 2 is merged, and two nodes of order i will be created if a node of order 2j - p -I- 1 is merged.
What to read after Random B Trees With Inserts And Deletes?
You can find similar books in the "Read Also" column, or choose other free books by Theodore Johnson to read onlineMoreLess
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