24. Determine how many Hamilton circuits does a complete graph with 11 vertices will have.

Q: 3 dimensions (2,3,1)

A: In this question, the concept of the graph is applied. Graph The graph of a function is the…

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

A:

Q: Each node can have at most n=v number of edges. (True means Doğru; False means Yanlış) Birini seçin:…

A: Result: 1. The maximum number of edges in an undirected graph is n(n-1)/2. 2. The maximum number of…

Q: 5. For a chess piece Q, the Q-graph is the graph whose vertices are the squares of the chess board…

A: The least amount of colours required to colour all the vertex edges of a graph so that no two…

Q: 9. Draw a graph or multigraph without loops with 8 vertices and at least 12 edges that has both an…

A:

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: Show that the maximum number of edges in a graph with n-vertices is *C2 (d)

A:

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: Show that every graph with n vertices and k edges, n> k has n – k components.

A:

Q: An undirected graph is called complete if every vertex shares and edge with every other vertex. Draw…

A: Complete Graph:Every vertex shares an edge with every other vertex.Denoted by Kn, where n is the…

Q: What is the number of edges in K9 ?

A: Find the number of edges in the complete graph K9 with 9 vertices.

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: Total number of hamiltonian circuits of the complete graph K, is 5 36 circuits 24 circuits 12…

A: Since every permutation of the 5 vertices determines a Hamiltonian cycle, but each cycle is counted…

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: 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: 5. Determine if the graph contains an Euler circuit. If so, identify an Euler circuit on the graph…

A: Determine if the graph contains an Euler circuit. If so, identify an Euler circuit on the graph by…

Q: 62. Each of the accompanying graphs represent the sidewalks to be cleaned in a fancy garden (one…

A: An Euler circuit is a circuit that uses every edge of a graph exactly once. An Euler path starts and…

Q: 15 vertices and 4 components in the graph. What is the minimum number of edges?

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

A: We have to solve given problem:

Q: Draw diagrams for grid graphs Gm,n that is D(Gm,n) for all Gm,n with m≤ 7 and n ≤ 7 including…

A: note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: A path that uses each edge of a connected graph once and ends at the starting vertex is called 1…

A: A path that uses each edge of a connected grapg once and ends at the same starting vertex is called…

Q: 2. Draw three different graph that has a Euler Circuit. (minimum of 5 vertices)

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Q: What is the number of vertices in an undirected connected graph with 27 edges, 6 vertices of degree…

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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: 4. Give an example of a graph with 5 vertices in which the same circuit can be both an Euler circuit…

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Q: Show that it is not possible to creak graph the" degree with g vertices such that every a of vertex…

A: Given that  The no of vertices = 9 degree of each vertices =3 To show such graph is not possible.

Q: How many edges does Cn have

A: We know that Cn is a cycle graph on n vertices. The cycle graph Cn is a circular graph with V=0, 1,…