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thenIuvVEuvnS011x0000rl1rtptycntTheroofisbinductiononrTheassertionclearlyholdsforr 1Let k 2andsupposethattheassertionholdsforr k1 Let G VEbeagraph satisfyingwith r kLet S0be a maximal subset of S. Mauro . Sozio. and Aristides . Gionis. Presented By:. Raghu . Rangan. , . Jialiang. . Bao. , . Ge. Wang. 1. Introduction. Graphs are one of the most popular data representation. Have a wide range of applications. In AI, we will formally define a problem as. a space of all possible configurations where each configuration is called a state. thus, we use the term state space. an initial state. one or more goal states. The Escalator . Click on the link below to view the lesson starter.. Stuck on an Escalator. In order to save our friends, the rescue team must determine the total length of the escalator. If the vertical rise of the escalator has been measured at 195 ft., 9.5 in. at an angle of elevation of 10.4°, what is the length of the escalator to the nearest foot?. Tali Kaufman. Joint work with Irit Dinur. Codes as CSPs . A constraint satisfaction problem (CSP) is a sequence of constraints over variables:. f. 1 . (x. 1. ,x. 2. ,x. 5. ), f. 2 . (x. 5. ,x. 1. ,x. Theory and Applications. Danai Koutra (CMU). Tina Eliassi-Rad (Rutgers) . Christos Faloutsos (CMU). SDM 2014. , Friday April 25. th. 2014, Philadelphia, PA. Who we are. Danai Koutra, CMU. Node and graph similarity,. Describing the motion of an object is occasionally hard to do with words. Sometimes . graphs. help make motion easier to picture and therefore understand.. Remember:. Motion. is a change in position measured by distance and time.. Bart M. P. Jansen. Joint work with Stefan . Kratsch. August 22. nd . 2011, Oslo. Vertex Coloring of Graphs. Given an undirected graph G and integer q, can we assign each vertex a color from {1, 2, …, q} such that adjacent vertices have different colors?. Breadth First Search. Nattee. . Niparnan. Distance of nodes. The distance between two nodes is the length of the shortest path between them. S. A 1. S. C 1. S. B 2. DFS and Length. Distance/Time. Distance. Distance. Distance. D. t. D. t. D. t. Gradient = . speed. Distance-Time graph. gradient = velocity. Graphs Representing Motion. Velocity-time graph. Gradient = acceleration. Area . 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?. Distance matrices are graphs .  as useful as any other clustering. Identification of communities in social networks. Webpage clustering for better data management of web data. Outline. Min s-t cut problem. Adjacency List. Adjacency-Matrix. Pointers/memory for each node (actually a form of adjacency list). Adjacency List. List of pointers for each vertex. Undirected Adjacency List. Adjacency List. The sum of the lengths of the adjacency lists is 2|E| in an undirected graph, and |E| in a directed graph.. Caylay. Graphs. Parikshit. . Gopalan. . (MSR-SVC). Salil. . Vadhan. (Harvard). Yuan Zhou (CMU). Locally Testable Codes. Local tester for an [n, k, d]. 2. linear code . C. Queries few coordinates . Use your allocated entrance and exit point. Be punctual to school and arrive at your allocated time . Wear full school uniform and meet uniform expectations. Ensure 2m social distancing is followed at all times, including walking to and from school.