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GO Classes Scholarship 2023 | Test | Question: 12

GO Classes asked in Graph Theory Aug 6, 2022 recategorized Aug 7, 2022 by Lakshman Bhaiya

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4 votes

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How many non-isomorphic simple undirected graphs are there, each with four vertices and without a cycle?

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GO Classes asked in Graph Theory Aug 6, 2022 recategorized Aug 7, 2022 by Lakshman Bhaiya

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1 Answer

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No two graphs among the six have the same vertex degrees; thus, no two are isomorphic.

GO Classes answered Aug 6, 2022 edited Aug 6, 2022 by Lakshman Bhaiya

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GO Classes Scholarship 2023 | Test | Question: 8
In a directed graph $\mathrm{G}=(\mathrm{V}, \mathrm{E})$, two nodes $u$ and $v$ are strongly connected if and only if they are mutually reachable i.e. there is a path from u to $v$ and a path from $v$ to $u$. ... connected components $\dots?$ can not increase can not decrease by more than $1$ can not decrease by more than $2$ may remain unchanged

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