Please select all the situations below that are POSSIBLE and do not mark those that are IMPOSSIBLE. Each list of numbers is a degree list (list of the degrees of all the vertices) of a graph. If there are extra restrictions - the graph is simple, or a tree, etc - it will be noted in the question. Simple graph, degrees: 5, 4, 3 Graph, degrees: 5, 4, 3 Tree, degrees: 4, 3, 1, 1, 1, 1, 1 Tree, degrees: 0, 0, 1, 1, 2, 3, 3. Simple graph, degrees: 0, 0, 0, 2.

Q: Does this have 12 vertices? If not, how does that change the drawing and answers?

A: IntroductionGraph: A graph is a visual representation of edges and vertices, or dots and lines.A…

Q: 3. Determine if the following graph is a bipartite graph. Write each partite set.

A: A graph G is bipartite if and only if all cycles in G are of even length.

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

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Q: ree contains some number of leaves (degree 1 vertices) and four non - leaf vertices. the degree of…

A: Given, tree contains some number of leaves (degree 1 vertices) and four non - leaf vertices. the…

Q: In a simple graph there can two edges connecting two vertices. True O False

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Q: Need help with this question. Please explain each step and neatly type up. Thank you :)

A: Here are five different trees, each with a maximum degree of 3 and at least five vertices. For each…

Q: Can an (6,4)-graph is connected.

A: (6, 4) graph has 6 vertices and 4 edges. Now, any graph with n vertices will be connected if there…

Q: What is the number of edges, the order and degree of each vertex in a graph K-9? What is the number…

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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: Construct a simple graph that is a tree with vertices P, Q, R, S, T, U such that the degree of T is…

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Q: Draw an example of a graph that is not a tree

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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 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: hich graph appears to contain all the orderad pairs in this rolation?

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Q: Which graph has a matching?

A: We use definition of matching.

Q: If a graph has 8 vertices, then what is its order? Answer:

A: We have given a graph which has 8 vertices. We know that  Order of a graph is cardinality of…

Q: You have a simple graph G with three vertices and three edges. How many subgraphs can be made from…

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

A: A graph is n-regular if the degree of each vertex is same with n vertices.

Q: 2. Find the following state in USA map: Florida (FL), Georgia (GA), Alabama (AL), South Carolina,…

A: Vertex is where two or more edges meet . The degree of a vertex is the number of edges originating…

Q: Determine whether the graph is even,

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Q: Find all nonisomorphic trees with five vertices.

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Q: How many possible ways can you draw a graph using 5 vertices? Show all steps of your calculation.

A: To find the number of possible ways to draw a graph using 5 vertices.

Q: Find the number of guards required to cover the entire area of an art gallery with 15 vertices.

A: We need to calculate the number of guards required to cover the entire area of an art gallery that…

Q: an end vertex in graph B an isolated vertex in graph B

A: Given as, B= { 4, 1, 5, 3, 4, 3}

Q: Determine whether the following statement is true or false. In the graph of a tree, the number of…

A: To determine true or false.

Q: A simple connected graph with 2,024 vertices is such that there are exactly two vertices, u and v,…

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Q: Construct a simple graph that is a forest with vertices P, Q, R, S, T, U such that the degree of R…

A: We will first give the edge set of the simple graph  thag is a forest with vertices P, Q, R, S, T ,…

Q: Draw the graph of four-dimensional cube. How many edges and vertices are there?

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