PPT-Graph Prologue: Eulerian Path Seven bridges of Königsberg

Graph Prologue Eulerian Path Seven bridges of Königsberg problem Q Is it possible to take a walk starting by any of the four parts of land crossing each one of the bridges just once A This problem was resolved by. Video Magnification . for Revealing Subtle Changes . in the World. Hao. -Yu Wu, Michael Rubinstein, Eugene Shih, John . Guttag. , . Frédo. Durand, William Freeman. SIGGRAPH 2012. Outline. Video magnification. by . Matchings. . Tobias . Mömke. and Ola Svensson. KTH Royal Institute of Technology. Sweden. Travelling Salesman Problem. Given . . n. . cities . distance. . d(u,v. ) . between . c. ities. . N. etworks and Graphs. Euler Paths and Circuits. Can You draw this figure without lifting you pencil from the paper?. The original problem. . A resident of Konigsberg wrote to Leonard Euler saying that a popular pastime for couples was to try to cross each of the seven beautiful bridges in the city exactly once -- without crossing any bridge more than once.. Using graph theory to solve games and problems. Dr. Carrie Wright. University of Arizona. Teacher’s Circle. November 17, 2011. BRIDGES OF KONIGSBERG. In Konigsberg, East Prussia, a river runs through the city such that in its center is an island, and after passing the island, the river broke into two parts. Seven bridges were built so that the people of the city could get from one part to another. . This Lecture. In this part we will study some basic graph theory.. Graph is a useful concept to model many problems in computer science.. Seven bridges of Konigsberg. Graphs, degrees. Isomorphism. Mathematics. under construction. Instructor. Neelima Gupta. ngupta@cs.du.ac.in. Table of Contents. Eulerain. Path and Circuits. Hamiltonian Path and Circuits. Planar Graphs. Thanks: Shammi-37 and Shivangi-38 (MCA 202). Team . 10. NakWon. Lee, . Dongwoo. Kim. Robot Motion Planning. Consider the case of point robot. The polygons in . S. are . obstacles. , and their total number of edges is denoted by . n. The point robot can touch obstacles, because obstacles are open set.. Using graph theory to solve games and problems. Dr. Carrie Wright. University of Arizona. Teacher’s Circle. November 17, 2011. BRIDGES OF KONIGSBERG. In Konigsberg, East Prussia, a river runs through the city such that in its center is an island, and after passing the island, the river broke into two parts. Seven bridges were built so that the people of the city could get from one part to another. . Tours. By . Shaylan. . Lalloo. What is an . Eulerian. Tour?. A path that uses every edge exactly once is called an . eularian. tour. Furthermore, a path that starts and ends at the same vertex and is an . Mathematics. under construction. Instructor. Neelima Gupta. ngupta@cs.du.ac.in. Table of Contents. Eulerain. Path and Circuits. Hamiltonian Path and Circuits. Planar Graphs. Thanks: Shammi-37 and Shivangi-38 (MCA 202). Using graph theory to solve games and problems. Dr. Carrie Wright. University of Arizona. Teacher’s Circle. November 17, 2011. BRIDGES OF KONIGSBERG. In Konigsberg, East Prussia, a river runs through the city such that in its center is an island, and after passing the island, the river broke into two parts. Seven bridges were built so that the people of the city could get from one part to another. . Articulation Points. Is a node u of a graph such as if you remove u from the graph then the number of components increases. 1 component. 3 components. Articulation Points. u is an articulation point if. . Lalloo. What is an . Eulerian. Tour?. A path that uses every edge exactly once is called an . eularian. tour. Furthermore, a path that starts and ends at the same vertex and is an . eularian. tour but is called an . Outline . Definition and Data Structures of Graph. . Eulerian. & Hamiltonian Cycle . . DNA Sequencing . . Shortest Superstring Problem, SSP as. . Traveling. . Salesman Problem (TSP) . Sequencing by Hybridization (SBH), SBH as Hamiltonian .