PPT-Saucy3: Fast Symmetry Discovery in Graphs

Hadi Katebi Karem A Sakallah Igor L Markov The University of Michigan Outline Graph symmetry Implicit representation of permutation sets Ordered Partition Pairs OPPs Basic permutation search tree. H ter Bekke and JA Bakker Faculty of Information Technology and Systems Delft University of Technology JHterBekke JABakkerit studelftnl Abstract This paper presents an algorithm for recursive data processing in directed graphs The proposed algorithm p. resented by: . Shaun Deaton. . The idea is to hypothesize constraints on the interchangeability of N normally distributed random variables. Then test the hypothesis by using the likelihood ratio of the determinants of the covariance matrices. The symmetry constraints impose structure upon the vector of means and the covariance matrix.. to Solve . Difficult Logic Puzzles. Igor Markov. University of Michigan, EECS. Outline. A brief introduction to the field of . Electronic Design Automation. Integrated circuits, design tools, research challenges. Vocabulary. Image. – The result of moving all points of a figure according to a transformation. Transformation. – The rule that assigns to each point of a figure another point in the plane. Vocabulary. Equation of Motion for . Average . V. elocity. Position-Time Graphs. P. lot . the time data on a horizontal axis. The . position data on a vertical axis. Position-Time Graphs. Two . different runners. Hubarth. Algebra. Standard Form of a Quadratic Function. A quadratic function is a function that can be written in the form . , . where a, b, and c are real numbers and a. 0. This form is called standard form of a. Attributed . Graphs . Yu Su. University of California at Santa Barbara. with . Fangqiu. Han, Richard E. . Harang. , and . Xifeng. Yan . Introduction. A Fast Kernel for Attributed Graphs. Graph Kernel. Expanding. Brackets. Factorising. Expanding . Double . Brackets. Solving . Linear . Equations. Plotting graphs by. substitution into . equations. Solving . Quadratic. Equations. Solving . Quadratics. The world is full of symmetry, so use it!. The ubiquitous symmetry. Truncated icosahedron. . Paper model. . Icosahedral symmetry in viruses. From . Robijn Bruinsma. ’. s web site. . The ubiquitous symmetry. Handbook of Constraint Programming, Chapter 10. Presentation by: Robert Woodward. Advanced CP, Fall 2009. 1. Overview. Introduction. Group Theory. Cauchy form, Cyclic form. Composition, inverse, . associativity. via . Bases . of . Perfect Matchings. STOC 2013. Marek Cygan, Stefan Kratsch, . Jesper Nederlof. Hamiltonicity (aka Hamiltonian cycle). Held&Karp (‘61. ), Bellman (‘62): .                time and space (Dynamic Programming).. Review - Speed. Speed: . The measure of how fast/slow something moves a particular distance over a given amount of time.. It can then be calculated using the following formula: . v=d/t. How do you graph speed?. Dr.Koshy. John. Department of chemistry. Symmetry Elements. The elements used to ascertain the symmetry of a molecule quantitatively is called Symmetry elements.. A symmetry element is a geometrical entity such as a line about which a rotation is carried out, a point about which an inversion is carried out or a plane about which a reflection is carried out to generate an equivalent orientation or indistinguishable orientation.. . 6.2: Nomenclature . of . s. tereocenters. 6.3: . Properties of . asymmetric . molecules. 6.4: . Optical . isomerism. 6.5: . Fisher . p. rojections. 6.6: . Molecules with . two . s. tereocenters. 6.7: .