# Graph

## [Solved] A connected planar graph having 6 vertices, 7 edges contains _____________ regions.

A connected planar graph having 6 vertices, 7 edges contains _____________ regions. a) 15b) 3c) 1d) 11 Answer: bExplanation: By euler’s formula the relation between vertices(n), edges(q) and regions(r) is given by n-q+r=2.

## [Solved] What is the number of edges present in a complete graph having n vertices?

What is the number of edges present in a complete graph having n vertices? a) (n*(n+1))/2b) (n*(n-1))/2c) nd) Information given is insufficient Answer: bExplanation: The number of ways in which every vertex can be connected to each other is nC2.

## [Solve] Which of the following statements for a simple graph is correct?

Which of the following statements for a simple graph is correct? a) Every path is a trailb) Every trail is a pathc) Every trail is a path as well as every path is a traild) Path and trail have no relation Answer: aExplanation: In a walk if the vertices are distinct it is called a …

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