A floor plan of a museum is shown. Draw a graph that represents the floor plan, where each vertex represents a room and an edge connects two vertices if there is a doorway between the two rooms. Is it possible to walk through the museum and pass through each doorway without going through any doorway twice? Does it depend on whether you return to the room you started at? Justify your conclusion.

Q: How many edges would a connected planar graph if it has 13 vertices and 9 faces?

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Q: H.

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A: A connected planar graph has an equal number of vertices and faces. If there are 20 edges in this…

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A: A graph consisting of infinite number of vertices and edges is called as an infinite graph.

Q: b a d

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Q: If G1 is a simple graph with 20 edges and G has 25 edges, how many vertices does G1 have?

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Q: What vertices are on each level in this graph, if we take s = 2?

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A: Definition Used-  In a graph, Degree of a vertex is equal to the number of edges that are incident…

Q: The ff. graph is planar:

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Q: b e a f

A: Given: a) b)

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A: Strongly connected graph

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A: The degree of a vertex is the number of edges which are connected with that vertex.

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Q: In Exercises 29 and 30, a floor plan of a museum is shown. Draw a graph that represents the floor…

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A: I have given an answer in step 2.

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A: Graph with four vertices of degrees 3 3 5 5

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Q: 1. Which of the graphs below are bipartite? Justify your answers.

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