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Question Number 185890 by mnjuly1970 last updated on 29/Jan/23

$$$$$$Q:G(V,E)isagraph,suchthat$$$$\mid V\left(G\right)\mid =20,\mathrm{\Delta }\left(G\right)=8,\delta \left(G\right)=3$$$$findthevalueof,q_{max}-q_{min}=?$$$$q=\mid E\left(G\right)\mid$$

Answered by MrGaster last updated on 02/Nov/24

$$q_{mam}-q_{mim}=\frac{1}{2}(\sum _{v\in V\left(G\right)}\mathrm{\Delta }\left(G\right)-\sum _{v\in V\left(G\right)}\delta \left(G\right))$$$$=\frac{1}{2}(20\cdot 8-20\cdot 3)$$$$=\frac{1}{2}(160-60)$$$$=\frac{1}{2}\cdot 100$$$$=50$$

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