In how many distinct ways can six islands be joined by bridges so that each island can be reached from every other island...
The graph represents a salesman’s area of activity with the
shops that the salesman must visit each day. What route around the
shops has the minimum total distance?
The reader is invited to investigate changes (or permutations) in the ringing of church bells, illustrated by braid diagrams showing the order in which the bells are rung.
If you can copy a network
without lifting your pen off the paper
without drawing any line twice
then it is traversable.
Decide which of these diagrams are traversable.
If you end up where you started when you draw a traversable diagram it
is called a traversing circuit .
If you don't end up where you started when you draw a traversable
diagram it is called a traversing path.
Can you give a set of criteria for determining whether a diagram is traversable by a
path or a circuit or neither?