PPT-Sorting Networks

Uri Zwick Tel Aviv University May 2015 Comparators         Can we use comparators to build efficient sorting networks         Comparator networks A comparator network is a . Merge Sort Running time 920 log where is the number of elements to be sorted Apply the Divide Conquer Combine Principle sort 12 12 sort 12 12 split merge P FlenerIT DeptUppsala Univ AD1 FP PK II Sorting B1 brPage 2br Sorting Merge Sort Merging t P. arallel Sorting. Shantanu. . Dutt. ECE Dept.. UIC. Acknowledgement. Adapted from Chapter 9 slides of the text, by A. . Grama. w/ a few changes, augmentations and corrections. Topic Overview . Issues in Sorting on Parallel Computers . Tibetan script encoded in Unicode and Tibetan script encoded in Unicode and ISO/IEC 10646ISO/IEC 10646 Full support of Tibetan within a computer Full support of Tibetan within a computer environment a Ron Zeira. and Ron Shamir. Combinatorial Pattern Matching 2015. 30.6.15. G. enome rearrangements. Motivation I: evolution. Human genome project. Motivation II: cancer. NCI, 2001. Normal karyotype. MCF-7 breast cancer cell-line. . waste. Sorting. line. Plastics. Yellow. . dustbin. Pet. . bottles. , . hollow. . wraps. , . foils. Ferry. , . sorting. , . pressing. No: linoleum . and. . floor. . coverings. , . wraps. . with. ADMIT. Tags. Applications . can be tagged using the Tag action from the application toolbar. . Tags. There are several reasons to use a tag for an application:.  . To tag an applicant with a . Coordinator Decision. Sort these 6 socks. How to determine which comes first?. Compare 2 at a time. Draw arrows . from. . an “earlier” sock . to. . a “later” one.. As many arrows as you wish to show the sorting order you have decided.. Chapter 14. Selection. . Sort. A . sorting algorithm rearranges the elements of a collection so that they are stored . in . sorted order. . Selection sort sorts an array by repeatedly. . finding. Brian Aronson. Review of ego networks. Ego network (personal network). Ego: Focal node/respondent. Alter: Actors ego has ties with. Dyad: Pair of individuals. Ties. (Ego). D. C. B. Tie types. Friends. Ali Cole. Charly. . Mccown. Madison . Kutchey. Xavier . henes. Definition. A directed network based on the structure of connections within an organism's brain. Many inputs and only a couple outputs. 1. Local Area Networks. Aloha. Slotted Aloha. CSMA (non-persistent, 1-persistent, . p-persistent). CSMA/CD. Ethernet. Token Ring. Networks: Local Area Networks. 2. Data Link. Layer. 802.3. In this lesson, we will:. Describe sorting algorithms. Given an overview of existing algorithms. Describe the sorting algorithms we will learn. Sorting. Given an array that has arbitrary entries, . int array[10]{82, 25, 32, 85, 16, 36, 40, 4, 28, . Θ. (n. 2. ). Merge Sort:. Θ. (. nlog. (n)). Heap Sort:. Θ. (. nlog. (n)). We seem to be stuck at . Θ. (. nlog. (n)). Hypothesis: . Every sorting algorithm requires . Ω. (. nlog. (n)) time.. Lower Bound Definitions. Given. a set (container) of n elements . E.g. array, set of words, etc. . Goal. Arrange the elements in ascending order. Start .  . 1 23 2 56 9 8 10 100. End .  1 2 8 9 10 23 56 100 (Ascending).