Construct the ordered rooted tree whose preorder traversal is: a, b, f, c, g, h, i, d, e, j, k, l, - a has four children, - c has three children, - j has two children, - b and e have one child each, all other vertices are leaves.

Q: I have a graph with 2021 vertices. It is not a tree but there exists some vertex whose removal makes…

A: We know that maximum number of possible edges is 3(n-2)

Q: Tree with 10 vertices and 20 edges Graph with 20 vertices and 19 edges, but not a tree Connected…

A: In this question, we use the propeties and definition of tree to check the graph is tree or not.

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: 2. Show that there is no simple graph with six vertices of which the degrees of five vertices are 5,…

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Q: construct a graph that is a tree with vertices P,Q,R,S,T,U,V such that the degree of P is 4 what is…

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Q: Trace the corect paths by drawing a line with a highlighter from Ihe start of the maze to the end

A: We will highlight the path with yellow arrows shown below:

Q: a. Create a tree diagram showing all possible choices.

A: 2. a. There are totally 18=2×3×3 outcomes.

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: number

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Q: Determine the order in which a preorder traversal visits the vertices of the given ordered rooted…

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Q: Construct a bipartite graph with vertices R, S, T, U, V, W that is a tree. What is the edge set?…

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

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Q: A leaf node in a tree or forest is an isolated vertex.

A: A vertex v ∈ V in a tree T(V,E) is called a leaf or leafnode if deg(v) = 1 and it is called an…

Q: Use graph to find  set. (-2, 1] ∪ [-1, 3)

A: Given set is  (-2, 1] ∪ [-1, 3) The graph for the given set is as shown

Q: Construct a simple graph with vertices L, M, N, O, P, Q whose degrees are 1, 2, 4, 3, 4, 2 What is…

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Q: A tree has 8 vertices  if the degree of first six vertices are 1,1,1,2,2,3 and 3 then what is the…

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Q: Use graph to find  set. [1, 3) ∩ (0, 4)

A: Given set is  [1, 3) ∩ (0, 4) The graph of the given set is as shown

Q: A simple graph with many edges has a label on each edge. The current labels are "a", "b", "c", "d",…

A: We are given a simple graph with many edges that have a label on each edge. The current labels are…

Q: Use graphs to find the set : (- ∞, 5) ∪ [1, 8)

A: Given that -∞,5∪[1,8). First draw the graph of -∞,5 and [1,8).

Q: Use graphs to find the set : [2, ∞) ∩ (4, ∞)

A: The given set is [2, ∞) ∩ (4, ∞).

Q: Draw the three nonisomorphic trees with five vertices and say how many distinct labelings each of…

A: To find the three non-isomorphic trees with fives vertices and to compute the number of distinct…

Q: Find the sets of dominant vertices

A: The graph given is as follows:

Q: Construct a bipartite graph with vertices A, B, C, D, E, F, G that is a tree. What is the edge set?…

A: Introduction: A unique type of graph known as a bipartite graph that exhibits the following…

Q: Show a Hesse diagram with 5 nodes {1, 2, 3, 4, 5} and 4 edges that has exactly three topological…

A: Given nodes are 1,2,3,4,5 with 4 edges. We know that a topological sorting for a directed acyclic…

Q: Any connected graph with 9 vertices and 8 edges will form a Tree O A graph but not a tree O Sometime…

A: It is known that any connected graph G with n vertices and (n-1) edges is a tree.

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: a) graph, 6 vertices, has a Hamitonian circuit and a vertex of degree 3 b) graph connected,…

A: This is a problem of graph theory.

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: Construct a bipartite graph with vertices I, J, K, L, M, N that is a tree. What is the edge set?…

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Q: A tree diagram can only have first-generation branches and second-generation branches.

A: here use basic of Tree diagram  tree  diagram have component like node , branch , probability of…

Q: Construct a bipartite graph with vertices T,U, V, W, X that is a tree. What is the edge set?…

A: A bipartite graph is a graph whose vertices can be divided into two disjoint and independent sets U…

Q: True or False: A graph in which every edge is a bridge is necessarily a tree.

A: True

Q: Use graphs to find the set : (- ∞, 6) ∪ [2, 9)

A: The given set is -∞,6∪[2,9).

Q: Use graph to find set. [3, ∞)∩ (6, ∞)

A: We have to find set using graph for given interval notation: [3, ∞)∩6, ∞ Here there are two set…

Q: Construct a bipartite graph with vertices R, S, T,U, V,W, X that is a tree. What is the edge set?…

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

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Q: Draw any graph with one connected component and at least five nodes which is hot a tree.

A: A tree is an undirected graph in which any two vertices are connected by exactly one path.

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

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Q: Consider graphs with 9 vertices. What is the maximum number of edges in the graphs with Eulerian…

A: In a graph theory, Eulerian trail is a trail in a finite graph that visits every edge exactly once.…

Q: Sketch a simple graph with 8 vertices which contains a circuit of length 4 and 2 components.…

A: To sketch a graph of 8 vertices which contains a circuit of length 4 and 2 components: First name 8…

Q: Use graph to find set. [2, ∞)∩ (4, ∞)

A: Use the graph to find [2,∞)∩(4,∞)

Q: Q15B. Consider the graph with the following vertices and edges: V = {a, b, c, d, e, f} E = {{a, b},…

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Q: A connected graph with 13 vertices contains 24 edges. Without knowing which particular graph this…

A: A tree with n vertices has exactly n-1 edges.  spanning tree is also a tree.  So that spanning tree…

Q: A tree has 7 vertices.   (i)  How many edges this tree can have?    (ii) If the degrees of first…

A: To find the given condition :-

Q: You are a discrete structure engineer in a well know organization, your boss has requested you to…

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Q: How many edges would there by in such a binary tree? Explain your reasoning.

A: Information provided to us :  A binary tree is complete if each vertex (other than the leaves) has…

Q: Explain and draw why graphs with the given specifications do not exist. a) Tree, nine vertices, nine…

A: Since you have posted multiple questions, we answered the first question for you. If you want any…

Q: Select all the graphs that are trees. B.

A:

Q: A connected graph with 25 vertices contains 31 edges. Without knowing which particular graph this…

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Q: How many edges are in the graph with n nodes where every pair of nodes are joined by an edge? Prove…

A: Given To find the number of edges are in the graph with n nodes where every pair of nodes are joined…