z = positive int, Y = {1 2 3 ..... n} where Y = n greater or equal to z(adsbygoogle = window.adsbygoogle || []).push({});

defines G^{z}_{n}

1)work out a formula in n and z for the edges in G^{z}_{n}, the vertex set to include all possible z elements subsets of Y

help please whats the formula?

i know how to work out the number of vertices in a formula

which is n!/z!(n-z)!

been stuck on the formula for the edges for ages... i also know how to calculate the edges if its a complete graph e.g. G^{1}_{n}is n(n-1)/2 since degree (v)= doubles the edges

e.g. G^{2}_{3}has 3 vertexs of {12}{13}{23} no edges

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# Graph Theory Help!

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