MHB How to read this expression "A graph G = (V ,E)"

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The expression "A graph G = (V, E)" denotes a graph G that consists of a vertex set V and an edge set E. This notation is standard in graph theory, clearly defining the components of the graph. The discussion references the Glossary of graph theory on Wikipedia for further clarification. Understanding this notation is essential for studying graph structures and their properties. Accurate interpretation of such expressions is crucial in mathematical and computational contexts.
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How to read this expression "A graph G = (V ,E)"
 
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There is a nice little variation of the problem. The host says, after you have chosen the door, that you can change your guess, but to sweeten the deal, he says you can choose the two other doors, if you wish. This proposition is a no brainer, however before you are quick enough to accept it, the host opens one of the two doors and it is empty. In this version you really want to change your pick, but at the same time ask yourself is the host impartial and does that change anything. The host...

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