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

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

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

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