Nets, trees, and lies
Trees
Chemical isomers
Lying liars and the lies they tell
Trees and games of logic
Familiar logic games
Exotic squares and Sudoku
The nature of nets
The small world phenomenon
The bridges of Königsberg
Hand-shaking and its consequences
Cycles that take you on a tour
Party problems
Colouring and planarity
The four-colour map problem
How edges can ruin planarity
Rabbits out of hats: guarding the gallery ; innocent questions of points and lines ; Brouwer's fixed point theorem
How to traverse a network
The Euler-Fleury method
The Chinese postman problem
One-way systems
Nets that remember where you have been
Nets as machines
Automata with something to say
Lattices
Spanning networks
Sorting the traffic
Greedy salesmen
Finding the quick route
The P versus NP controversy
Going with the flow
Network capacities and finding suitable boys
Marriage and other problems
Harems, maximum flows, and other things
Novel applications of nets
Instant insanity
Sharing the wine
Jealousy problems
Mazes and labyrinths
Trees and codes
Reassembling RNA chains
For connoisseurs.