QUESTION 3 How many edges would a complete graph have if it had 6 vertices? О 25 30 O 20 O 15

Q: The number of edges in a graph with 10 vertices each of degree 5 is

A: A graph G is a pair (V,E), where V is a finite set of vertices and E a finite set of edges. We can…

Q: 1. In a complete graph with 5 vertices, how many triangles are there? (Remember: a triangle has 3…

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Q: D By naming the vertices in order, state three different Aniongles. that are similar to each other.

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Q: 20. 21. Name How many edges are in the graph? How many vertices are in the graph? Date Date

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Q: Total number of edges of a complete graph which has 9 vertices is None 12 edges 36 edges 18 edges

A: To find Total number of edges of a complete graph which has n vertices.

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: 1. How many 4-regular graphs are there 10 vertices with 30 edges?

A: A graph is called 4-regular if degree of every vertex in graph is 4. If there is a 4-regular graph…

Q: 23. If a planar drawing of a graph has 15 edges and 8 vertices, how many faces does the graph have?

A: Answer :- We know from the Euler formula that  v+f =e+2

Q: Suppose G is a simple graph (no loops; no parallel edges) with n = 14 vertices and m = 7 edges. What…

A: GIVEN  vertices n=14 edges m=7 EXPLANATION as we know  every graph has atleast n-m component…

Q: How many graphs are there with just one vertex? а. О b. 1 C. infinite d. 547

A: There is only one graph with one vertex and there is no edges. The graph is that vertex itself with…

Q: A graph has 13 vertices: five vertices are of degree 5, seven vertices are of degree 4, and one…

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Q: 10. Be Ga complete graph: 1. Build G if this is a full graph of 8 vertices. 2. How many edges does a…

A: Full graph of 8 vertices is enclosed below. To do this on your own, fix 8 points on a paper. Then…

Q: 21. Find the number of edges in a graph that has 4 vertices each of degree 2. Hint: use the sum of…

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Q: Suppose we are told that a connected graph cuts the plane into 211 regions. How many more edges than…

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Q: A pyramid has 157 vertices, how many edges does the pyramid have?

A: A pyramid has 157 vertices, how many edges does the pyramid have?

Q: 11. Draw a graph with five vertices that is connected and draw a graph with five vertices that is…

A: The connected graphs with five vertices: A graph is called connected if there is a path between…

Q: 7. Give an example of a simple graph that satisfies the specified conditions or show that no such…

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Q: How many cycles of length 4 (i.e. 4 edges) are in the complete graph Kg? Note: the cycle 1-2-3-4-1…

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Q: There are 8 vertices namely: A, B, C, D, E, F, G, H Make or draw a graph with 2 loops around the…

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Q: If a planar graph has 18 vertices and 26 edges, how many regions are determined when you draw t…

A: If a connected planar graph G has e edges, v vertices, and r regions, then v-e+r=2. Here,  v=18,…

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 smallest number of colors that can be used to color the vertices of a cube so that no…

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Q: The number of edges in a graph with 11 vertices each of degree 4 is 44 O 22 O 8 O 10

A: Graph - number of edges

Q: 6. Draw the complete bipartite graph K4,5 and it's complement. Find the number of vertices |V| and…

A: The complete bipartite graph K4,5 is shown below

Q: 5. Draw a 3-regular graph which has 12 vertices and at least one bridge.

A: To find - Draw a 3-regular graph which has 12 vertices and at least one bridge.       Definition…

Q: A connected graph with 7 nodes and 7 edges has how many loops?

A: Given: The nodes of a connected graph=7 and the edges of a connected graph=7To find: The number of…

Q: 1. How many edges does the cycle graph C5 have?

A: In cycle graph, the number of edges is equal to the number of vertices.

Q: 18. Color the vertices of the following graph so that no vertices of the same color share an edge.…

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Q: The number of edges in a graph with 8 vertices each of degree 7 is O 7 O 56 28 O 14

A: We have to solve given problem: