Classroom Question Draw the new graph with the eighth bridge Whether or not such an 'eight-bridge' puzzle has such a path? If yes, show one In1875 Google earth 2008
Classroom Question • Draw the new graph with the eighth bridge; • Whether or not such an ‘eight-bridge’ puzzle has such a path? • If yes, show one. Google Earth, 2008 In 1875
The Seven Bridges of Konigsberg Below is the city of Konigsberg with four land masses and seven bridges connecting the various land masses. Can you find a walk through the city of Konigsberg that crosses each bridge exactly once? Y ou may start at any land mass you wish but may only travel between land masses by using a bridge. 么 t t spikedmath.com THE ENGINEERS SOLUTION THE BIOTECHNOLOGISTS SOLUTION I WOULD BUILD ANOTHER BRIDGE! X I WOULD CL。 NE MYSELF THE PHYSICISTS SOLUTION THE MYTHBUSTERS SOLUTION / I WOULD TELEPORT BLOW STUFF UP!
Graph Theory L Euler, Father of Graph Theory(and of numerical analysis, of operations research, And, grandfather of sudoku( Matrix sudoku是一款方 块游戏,数独是一种流行之谜游戏,每个网格数目在19的 范围,它只能出现一次的任何行/列的组合… For more interest refer to B Bollobas, <Graph Theory: an introductory course>, pringer-Verlag, 1979 R Diestel, <Graph Theory, 3rd edition, Springer Verlag. 2006
Graph Theory • L. Euler, Father of Graph Theory (and of numerical analysis, of operations research,…… And, grandfather of sudoku (Matrix Sudoku是一款方 块游戏，数独是一种流行之谜游戏，每个网格数目在1-9的 范围，它只能出现一次的任何行/列的组合……) For more interest, refer to: • B. Bollobas, <Graph Theory: an introductory course>, Springer-Verlag, 1979 • R. Diestel, <Graph Theory>, 3rd edition, SpringerVerlag, 2006
SYNONYM in this course · Graph= Network Not only in this course, but also in this field but they both do have some difference 兽
SYNONYM in this course • Graph = Network • Not only in this course, but also in this field. • But they both DO have some difference
Network definition A graph G(N, L(network topology specifies how items called nodes are interconnected or related to other nodes by links.Trees rIng Complete graph L=N-1 L=N L=N(N-1)/2
Network Definition A graph G(N, L) (network topology) specifies how items, called nodes, are interconnected or related to other nodes by links. Trees L = N-1 ring L = N Complete graph L = N(N-1)/2