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'Weekly Challenge 38: Numbered Graph' printed from http://nrich.maths.org/
A numbered graph consists of a set of numbered nodes connected by
edges. The node sum at a node is the sum of the number at the node
and the numbers at all adjacent nodes.
Can you arrange the numbers 1 to 11 on the graph below, using each
number exactly once, so the the node sum is the same at each
know ... ?
The notion of the mathematical graph is fundamental in modern
mathematics and a huge subject of study in its own right. Many
systems can be represented by graphs, the internet being a somewhat
complicated example. Graph theory is both a fascinating area of
pure study and a powerful analytical tool.