Network science An English introductory course for undergraduate students Lecturer: Dr. Cong LI ee@ Fudan University Adaptive Networks and Control Lab
Network Science Lecturer: Dr. Cong LI EE @ Fudan University —— An English introductory course for undergraduate students Adaptive Networks and Control Lab
ARE you Are READy? You Ready? Are You ready? Experiene www.experiencecj.com Are yourureac E左 ARE YOU READY? Sawyer is, and he 'll be back tomorrow
Are You Ready?
Ready Fall
Ready…… Fall……
Long Long ago
Long Long Ago
Konigsberg east Prussia, 1700s
Konigsberg, East Prussia, 1700s
X Seven Bridges Puzzle Can one walk across the seven bridges and never cross the same one twice No one found such a route 需图确
Seven Bridges Puzzle • Can one walk across the seven bridges and never cross the same one twice ? No one found such a route
Leonhard Euler (1707-1783) 28N lesar 1976/11/5 Swiss 10 franc
Leonhard Euler (1707-1783) 1976/11/5 Swiss 10 Franc
Euler’ s proof in1736 The Seven-Bridge Konigsberg Puzzle has none answer Fe 所明 AnSWer T-5
Euler’s proof in 1736 • The Seven-Bridge Konigsberg Puzzle has none answer!
数图 Euler’ s approach Starting/end points with odd EsFr number of eages a continuous path which goes through all edges can have only one start and one end points, D If a graph has more than 2 nodes with odd number of edges such a path does not B exist he first graph of human
Euler’s approach • Starting/end points: with odd number of edges; • A “continuous” path which goes through all edges can have only one start and one end points; • If a graph has more than 2 nodes with odd number of edges, such a path does not exist The first graph of human
More hints from euler A suitable mapping approach from a (networking) system to a network(graph) The key-point is the definitions on nodes and edges How to find a suitable solution of a difficult problem
More hints from Euler • A suitable mapping approach from a (networking) system to a network (graph). • The key-point is the definitions on nodes and edges. • How to find a suitable solution of a difficult problem
