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Question Number 133318 by bramlexs22 last updated on 21/Feb/21

$$\left(\mathrm{a}\right)\mathrm{Are}\mathrm{there}\mathrm{any}\mathrm{graphs}\mathrm{with}5$$$$\mathrm{vertices}\mathrm{which}\mathrm{have}\mathrm{vertices}\mathrm{of}$$$$\mathrm{degrees}1,2,3,4\mathrm{and}5?$$

Answered by EDWIN88 last updated on 21/Feb/21

$$\mathrm{No};\mathrm{if}\mathrm{a}\mathrm{graph}\mathrm{has}\mathrm{n}\mathrm{vertices}\mathrm{it}\mathrm{can}\mathrm{have}\mathrm{no}$$$$\mathrm{vertex}\mathrm{of}\mathrm{degree}\mathrm{bigger}\mathrm{than}\mathrm{n}-1$$

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