Title | ||
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Carry Value Transformation (CVT) - Exclusive OR (XOR) Tree and Its Significant Properties |
Abstract | ||
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CVT and XOR are two binary operations together used to calculate the sum of two non-negative integers on using a recursive mechanism. In this present study the convergence behaviors of this recursive mechanism has been captured through a tree like structure named as CVT-XOR Tree. We have analyzed how to identify the parent nodes, leaf nodes and internal nodes in the CVT-XOR Tree. We also provide the parent information, depth information and the number of children of a node in different CVT-XOR Trees on defining three different matrices. Lastly, one observation is made towards very old Mathematical problem of Goldbach Conjecture. |
Year | Venue | Field |
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2015 | CoRR | 2–3 tree,Discrete mathematics,Combinatorics,K-ary tree,Tree (data structure),Binary tree,Exponential tree,Left-child right-sibling binary tree,Tree structure,Mathematics,Interval tree |
DocType | Volume | Citations |
Journal | abs/1506.01544 | 1 |
PageRank | References | Authors |
0.39 | 1 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jayanta Kumar Das | 1 | 3 | 1.80 |
Pabitra Pal Choudhury | 2 | 69 | 28.27 |
Sudhakar Sahoo | 3 | 51 | 13.13 |