G is a forest with 100 vertices and 87 edges. How many additional edges should be added to make G a tree?

Q: Why does a complete graph with n = 6 nodes have m = 15 edges? A tree connecting 6 nodes has __…

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Q: Suppose the vertices of G = Kn are labelled

A: Please look into the next step for details

Q: In a tree with 32 vertices, what is the sum of degrees?

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

Q: Compute the number of spanning trees in the graph given bellow. h Select one: 108 64 64+22 45

A: To find - Compute the number of spanning trees in the graph given below .   Definition used…

Q: If a graph has 36 points and 21 edges , then how many edges will be used to make a tree?

A: Given: A graph has 36 points and 21 edges. To determine: The number of edges used to make a tree.

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

A: Given below the detailed solution

Q: Let Tbe a tree with 10 vertices. The sum of the degrees of all the vertices in T is

A: We have to find, if a tree with 10 vertices is given then what will be the sum of degrees of all the…

Q: A graph with 8 vertices has degrees 1, 1, 2, 3, 5, 7, 8, and 9. How many edges does it have?

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Q: Can you create a graph that has the following characteristics: a. Six vertices, five edges, not a…

A: a Six vertices ,five edges not a true

Q: A tree has 99 edges. How many vertices does it have? 99 198 100 O 200

A: We will solve this by using formula of edges and vertices

Q: How many vertices have an even degree?

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Q: Construct a simple graph that is a forest with vertices B, C, D, E, F,G such that the degree of D is…

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Q: A forest contains 39 vertices and 36 edges. How many connected components does the graph have? 72

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Q: The number of vertices in K is

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Q: If a graph has 20 points and 14 edges, then how many edges will be used to make it a tree?

A: Result: Let T be a tree. If the tree T has n vertices, then it has exactly n-1 edges. The graph has…

Q: How many circuits are there in the graph?

A: only two circuis are there.  Which are 2342 and 2432

Q: How many nonisomorphic (free) trees are there with 4 vertices?

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (B) Suppose that a tree T with 14 vertices and 27 edges and the each vertex degree is 3, 4, and 5.…

A: To find the vertices of T having degree 3 and 5___

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: If you are asked to describe the following group of trees with a single numerical value, how would…

A: If we are asked to describe the following group of trees with a single numerical value, we will…

Q: How many edges does a tree on 9 vertices have?

A: A tree with n vertices has n-1 edges.

Q: 1. Let F be a forest with 50 vertices and 35 edges. How many trees does have F.

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Q: 12. How many edges are there in a tree with 10 vertices? If a tree has 9 vertices, can each vertex…

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Q: Let be a tree with degree of each vertex either 9 or 1. If has 16n+2 vertices then the number of…

A: Let k be the number of vertices with degree 9 and 16n+2-k be the number of vertices with degree 1.…

Q: How many edges does a tree with 10000 vertices have?*<

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Q: Construct a simple graph that is a forest with vertices B,C, D, E, F,G, H,I such that the degree of…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose a tree has 1 vertex of degree 4, 3 vertices of degree 3, 4 vertices of degree 2 and the…

A: Suppose a tree has vertex with the degree as follows: Degree of the vertex Number of vertex 4 1…

Q: Consider the six bridges map. How many vertices have an odd degree in the graph that models the…

A: Mark the regions.

Q: How many edges are in the Hasse diagram that represents the poset ( {1, 3, 4, 6, 8, 12, 16, 18), I…

A: Solution

Q: can be on a non-planar graph. 5. A_ a) complete graph b) subgraph c) line graph d) bar graph 6. If a…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Suppose we add two edges in a tree T to form a graph G. How many cycles can be there in G.

A: When 1 edges are added to a tree,  a cycles are created When 2 edges are added to a tree, either 2…

Q: The total degree of a tree with m vertices is (2m-2). True O False

A: •The degree of a vertex v of a graph G is the number of edges incident on v with self loop…

Q: Let G be a tree with n vertices. Find a formula for the total number of paths G and justify why it…

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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: If there are 10 vertices in a tree, there must be edges. O 10 O 9 O 11 O 8

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Q: A tree T has one hundred vertices of degree 1, ten vertices of degree 3 and all its other vertices…

A: Given that 100 vertices of degree 1. Ten vertices of degree 3 And all its other vertices have degree…

Q: How many edges are there in a tree with 19 Vertices

A: Given: edges in a tree with 19 vertices

Q: 5. Find the number of vertices, the number of edges, and the degree of each vertex in the given…

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Q: On average, how many components does a rooted forest on [n] have

A: The objective is to find the components of a rooted forest with n vertices

Q: In a group of 4 people, is it possible for each person to have exactly 3 friends? Why?

A: Let G be a graph with 4 vertices, one vertex representing each person in the group. Join two…

Q: How many edges does a tree with 10,000 vertices have?

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Q: 6. If a tree has 10,000 vertices, how many edges does the tree have?

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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 U is…

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Q: Given that a tree has 12 edges. Find the number of vertices of the tree.

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Q: If G is a forest with 30 vertices and 6 con- nected components, then how many edge does G have?

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Q: How many edges are there in a tree with 10 vertices?

A: Note: “Since you have asked multiple questions, we will solve the first question for you. If you…

Q: no of edges for a tree with number of vertices 10 is

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Q: What is the number of edges in a tree with 13 vertices?

A: given          there are 13 vertices in a tree          and we have to find numbers of edges in a…

Q: How many non-isomorphic trees on 6 vertices are there? Draw a picture of

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