Economic Applications of the Theory of Graphs

Economic Applications of the Theory of Graphs

Economic Applications of the Theory of Graphs

Economic Applications of the Theory of Graphs

Excerpt

The notion of set is regarded as a fundamental concept and hence requires no definition. We can, however, say that any group of members, finite or infinite in number, represents a set.

Any of the members constituting a set is called an element of the set. In order to indicate that an element a belongs to a set A we write:

a ∈ A

The empty set is the set containing no elements.

If sets A and B are such that each element of A is also an element of B and vice versa, we say that A and B coincide and write:

A = B.

If, on the other hand, the elements of A belong to B, but some elements of B do not belong to A, then we write:

A⊂B

and say that A is a proper sub-set of B.

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