PDF-Relaxed Heaps:

Daniel Sleator Editor An Alternative to Fibonacci Heaps with Applications to Parallel Computation JAMES R DRISCOLL HAROLD N GABOW RUTH SHRAIRMAN and ROBERT E TARJAN ABSTRACT The relaxed heap. Data . Structures. Self-Adjusting. Data . Structures. 2. Lists. [D.D. . Sleator. , R.E. . Tarjan. , . Amortized Efficiency of List Update Rules. , Proc. 16. th. Annual ACM Symposium on Theory of Computing, 488-492, 1984]. Macroprogramming. Systems. Presented by: S. M. . Shahriar. . Nirjon. Timothy W.. . Hnat. and . Kamin. Whitehouse. hnat@cs.virginia.edu, WHITEHOUSE@cs.virginia.edu . Motivation. Synchronization Problems. Michael Carbin. Deokhwan. Kim, . Sasa. . Misailovic. , and Martin C. . Rinard. Approximate Computing. Media Processing, Machine Learning, Search. Solution Space: Accuracy versus Cost. Accuracy. Time/. Michael . Carbin. Deokhwan. Kim, . Sasa. . Misailovic. , and Martin . Rinard. Research Focus. Non-Traditional Program Transformation. Program Repair. Eliminate memory leaks. Eliminate memory errors (buffer overflows, . Data . Structures. Self-Adjusting. Data . Structures. 2. Lists. [D.D. . Sleator. , R.E. . Tarjan. , . Amortized Efficiency of List Update Rules. , Proc. 16. th. Annual ACM Symposium on Theory of Computing, 488-492, 1984]. A heap is a binary tree.. A heap is best implemented in sequential representation (using an array).. Two important uses of heaps are: . (. i. ) efficient implementation of priority queues. (ii) sorting -- . Data . Structures. Self-Adjusting. Data . Structures. 2. Lists. [D.D. . Sleator. , R.E. . Tarjan. , . Amortized Efficiency of List Update Rules. , Proc. 16. th. Annual ACM Symposium on Theory of Computing, 488-492, 1984]. A heap is a binary tree.. A heap is best implemented in sequential representation (using an array).. Two important uses of heaps are: . (i) efficient implementation of priority queues. (ii) sorting -- Heapsort.. Advisor : Prof. Surender Baswana. - Shivam Taji. UGP Workflow. Attempted solving complex range query problems using Augmented Binary Trees. A Data Structure for Dynamic Trees. Analysis of Splay Trees. Hasan. Mahmud. Natural Selection . Is the basis of the other types of selection. Competition Variation. Heriatble. Difference in survival. Relaxed and Artificial Selection are simply natural selection under different . Prof. . Neary. Based on slides from previous iterations of this course. Today’s Topics. Review of Min Heaps. Introduction of Left-. ist. Heaps. Merge Operation. Heap Operations. Review of Heaps. Min Binary Heap. Hasan. Mahmud. Natural Selection . Is the basis of the other types of selection. Competition Variation. Heriatble. Difference in survival. Relaxed and Artificial Selection are simply natural selection under different . Michael Carbin. Deokhwan. Kim, . Sasa. . Misailovic. , and Martin C. . Rinard. Approximate Computing. Media Processing, Machine Learning, Search. Solution Space: Accuracy versus Cost. Accuracy. Time/. Definition of a . d. -ary min heap . Implementation as a complete tree. Examples of binary, ternary, quaternary, and quinary min heaps. Properties. Relative speeds. Optimal choice is a quaternary heap.