Are these graphs isomorphic? Yes because they have the same number of vertices Yes because they have the same number of edges O No because the graphs do not have the same degree sequence

Q: What is a bipartite graph? Describe it in your own words.

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Q: How many connected components does this graph have? What is the total degree of the graph?

A: From the given graph. We say a connected component is when the number of edge is removed then the…

Q: When n = 3, there are nonisomorphic simple graphs.

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Q: The graph G is a planar connected graph. It ha

A: Given, the graph G is a planar connected graph. It has 11 edges, and 7 faces.

Q: An independent set in a graph is a set of mutually non-adjacent vertices in the graph. So, no edge…

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Q: Determine if the following simple graphs exist. If so, draw such a graph. If not, explain why it…

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Q: Consider the following graph. V5 (V3 V4 V2 eg V6 V1 Compute the degree of each vertex. V1 V2 V3 4 V5…

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Q: Determine which of the following is a bipartite graph.

A: The given graph is, . A graph is said to be a bipartite graph if only two colors are used to color…

Q: c) Represent the graph |z-412 |z|

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Q: Give an example of obtaining the complete graph?

A: A graph is a complete graph if  each pair of graph vertices is connected by an edge. The complete…

Q: Are the following 2 graphs isomorphic? Discuss your answer with appropriate reasoning.

A: Given two graphs. From the first graph, d(u1)=3d(u2)=3d(u3)=2d(u4)=2d(u5)=3d(u6)=3

Q: G14. Draw two 'different' graphs with five vertices and degrees {1, 2, 2, 2, 3}.

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Q: Recall that a bridge in a connected graph is an edge whose removal disconnects the graph. The…

A: The objective here is to find the maximum number of edges in a graph on 10 vertices that contains a…

Q: State and prove closed Graph theorem.

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Q: Q1: How many vertices does this object show   Q2: How many vertices does this object have

A: Ans Is 15

Q: In a simple undirected graph with 8 vertices and 27 edges, how many vertices can have degree 7?

A: Vertices=8Edges=27