Definition:Network/Also known as

Network: Also known as

A network $N = \struct {\struct {V, E}, w}$ is also known in some contexts as a weighted graph.

Hence the elements of the codomain of $w$ are known as the weights of the elements of $E$.

Whether network or weighted graph is used usually depends on the particular application of network theory or graph theory under discussion.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): weighted graph
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): weighted graph
• 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): weighted graph