A tree T has one hundred vertices of degree 1, ten vertices of degree 3 and all its other vertices have degree 4. How many vertices does T have? [Fully justify your answer]

Q: Let V be a tree with internal vertices of degree 2, 7, 5, 4., and 6. How many leaves does V have?…

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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: Consider a simple network of N nodes. The maximum degree that a given node can have is : Select one:…

A: The maximum degree of a node in a network with N nodes depends on the specific type of network and…

Q: Find a minium spanning tree for the following graph. hat Is the total weight of your spanning tree?…

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Q: 16. Given graph K, what edges can you remove to get a spanning tree? Give two possible solutions.…

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Q: solutions. There are many possibilities. Tdentify the edges using the vertices, example remove edge…

A: The given is related to Graph theory. The solution is explained below.

Q: Q19D. Given the graph with the following vertices and edges: V = {a, b, c, d, e, f} E = {{a, b}, {a,…

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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: PER 2. y=2(x+4) -8 Vertex: 10 Axis of Symmetry: 8- Graph using the graphing pattern: 3-…

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Q: 3. Which graph is the rooted tree that is formed from the tree in figure K, when: • vertex u is…

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Q: A tree diagram has two stages. Stage 1 has three nodes and stage 2 has six nodes. In stage 1, the…

A: The objective of this question is to find the probabilities of the outcomes P(A ∩ E), P(A ∩ F), P(B…

Q: How many non-isomorphic trees are there on 5 vertices?

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Q: A tree contains some number of leaves (degree 1 vertices) and four non-leaf vertices. The degrees of…

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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: E D

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Q: Five lines are drawn in the plane. (a) What is the smallest number of points of intersection of the…

A: Given that - Five lines are drawn in the plane.

Q: 9. A developer is planning a new community and they need to find a least expensive way to hook each…

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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: 32) Which of the following four graphs is a tree? A) 1 and 3 Graph 1 =*#* Graph 3 C) 1 and 4 Graph 2…

A: An undirected graph is a tree iff there is exactly one simple path between each pair of…

Q: 4) In the following graph, the vertices represent houses, and two vertices are adjacent if it is…

A: a)  Degree of vertex is the number of edges incident only that vertex. Degree of vertex v is denoted…

Q: A tree diagram has two stages. Stage 1 has three nodes and stage 2 has six nodes. In stage 1, the…

A: SOLUTION -At this initial stage, the tree diagram branches out into three nodes: A, B, and C. Each…