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Q: can you please provide explanations

A: Possible: Graph with 5: 3 vertices of degree 2 and 2 vertices of degree 1. Impossible: Graph with 5:…

Q: . Consider a connected graph on 100 vertices with 99 edges. What's the mallest number of colors you…

A: If there is a connected graph with n vertex and n-1 edges then graph must be a path P(n).  Every…

Q: Can the following graphs drawn in plane without edge crossings? a

A: Given: Graphs, To determine: Whether the given graphs can be drawn without crossing.

Q: Vertices should be named by the letters in the alphabeth : A, B, C, D, E, F, G, H and so on Edges…

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Q: A 4-partite graph is bipartite. True or False

A: False

Q: 3. Determine the edge connectivity and the vertex connectivity of the following graph. Explain.

A: The vertex connectivity is the minimum number of vertex required to remove from graph to make graph…

Q: A simple graph with many edges has a label on each edge. The current labels are "a", "b", "c", "d",…

A: We are given a simple graph with many edges that have a label on each edge. The current labels are…

Q: Can you sketch an undirected graph whose sum of its degrees is 17? If so, sketch the graph, and…

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Q: can yoyu do this without a graph by doing the math itself?

A: As per the description we have to solve the given problem without using any graphs.

Q: Can a graph with nine vertices and nine edges exist? Explain wy no such graph exists or draw the…

A: To verify whether a graph with 9 vertices  & 9 edges exist or not.

Q: How can one prove a graph is connected?

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Q: In a group of 9 people, there is one people who knows 6 others, and another 3 people who know at…

A: We will solve this problem by using graph theory. Claim:- To show that there are three people who…

Q: B D С A F E G

A: 1. for a trail or circuit to be a Euler trail or circuit. An undirected graph has an Euler trail if…

Q: Suppose a graph has vertices of degree 0, 2, 2, 3 and 9. How many edges does the graph have? Provide…

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Q: 11. Can the following graph be properly coloured?

A: Step 1:We must examine the vertices and their connections to ascertain whether the graph may be…

Q: Could there be a graph with four vertices of degree 1,2,5 and 4? Explain why no such graph exists or…

A: To verify whether a graph with 4 vertices of degree 1,2,5 and 4 exist or not.

Q: what is the number of edge of Harary graph? explain to me

A: Solution:-

Q: Show that in a simple graph with at least two vertices there must be two vertices that have the same…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 2. The map shown below illustrates parking meters in a small community. The dots indicate parking…

A: Given map:  Dotes indicate parking meters in which a parking meter person will need to check. To…

Q: Construct a graph with vertices A, B, C, D, E whose degrees are 1, 1, 1, 0, 1 What is the edge set?

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Q: What is the smallest number of colors you need to properly color the vertices of K4,5? That is, find…

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Q: Chess is a board game, where the board is made up of 64 squares arranged in an 8-by-8 grid. One of…

A: Chess is a board game, where the board is made up of 64 squares arranged in an 8-by-8 grid. One of…