PPT-Approximately counting triangles in sublinear time

Talya Eden Tel Aviv University Amit Levi University of Waterloo Dana Ron Tel Aviv University C Seshadhri UC Santa Cruz Counting Triangles Basic graphtheoretic algorithmic . . Sorting in Linear Time. CSE 680. Prof. Roger Crawfis. Comparison Sorting Review. Insertion . sort:. Pro’s:. Easy to code. Fast on small inputs (less than ~50 elements). Fast on nearly-sorted . inputs. . Charalampos (Babis) E. Tsourakakis. ctsourak@math.cmu.edu. WAW 2010, Stanford. . 16. th. December ‘10. WAW '10. 1. Joint work . Richard Peng. SCS, CMU. Gary L. Miller . Jie. Wu, Paul . Sabatino. , Jennifer . Tsan. , and Zhen Jiang . Outline. Problem . Challenges. Solution. Implementation issues. Experimental results. Conclusion. Problem. Count/check a certain type of vehicles in the highly dynamic traffic, without any disruption.. White Paper Counting and Clocks Counting intervals has been going on since man’s beginning. Early time measurements involved counting the number of days in terms of sunrises, sunsets, or moons. Talya Eden, . Tel Aviv . University. Amit Levi, . University of Waterloo. Dana . Ron, . Tel Aviv . University. C. . Seshadhri. , . UC Santa Cruz. Counting Triangles. Basic graph-theoretic algorithmic . of Large Datasets. . Charalampos (Babis) E. Tsourakakis. Brown University. charalampos_tsourakakis@brown.edu. Brown University. VOTES IN EVMs. Ref :1) Handbook of Returning Officers,2016. 2) ECI No. 470/INST/2014-EPS Dated 30.04.14. Counting of votes by EVMs. Legal provisions. Sec.64 of R.P. Act, 1951 . Rule.66A . of C.E. Rules, . Radu Curticapean, Holger Dell, Dániel Marx. NEW INSIGHTS INTO. Saarland University,. Cluster . of. Excellence (MMCI). Institute . for. Computer Science . and. Control,. Hungarian. Academy . of. Huijia. Lin (USB), . Rafael Pass . (Cornell). Karn. . Seth . (Cornell -> Google). Sid . Telang. (Cornell -> Google). IO. Plethora of Applications. For example: SW14, BCP14, BZ14, GGHR14, BGL. of Large Datasets. . Charalampos (Babis) E. Tsourakakis. Brown University. charalampos_tsourakakis@brown.edu. Brown University. Lecture . 10: . Sublinear. Algorithm. Zhu Han. University of Houston. Thanks for Professor Dan Wang’s slides. 1. outline. Motivations. Inequalities and classifications . Examples. Applications. 2. Transitive Closure. Jeffrey D. Ullman. Stanford University/. Infolab. Counting Triangles. Bounds on Numbers of Triangles. Heavy Hitters. An Optimal Algorithm. Counting Triangles. Why Care?. Density of triangles measures maturity of a community.. A brief review of particle identification in gaseous detectors. Outline. some basics and fundamental problems of . dE. /dx measurements. Bethe-Bloch, clusters and all that. resolution, particle separation power. Block Sparse Fourier Transform. Volkan. . Cevher. Michael . Kapralov. Jonathan Scarlett. Amir . Zandieh. EPFL. 1. Discrete Fourier transform. . . root of unity . Fast Fourier Transform.