3. In a directed graph modeling a round-robin tournament, what do the in-degree and the out- degree of a vertex represent?

Q: The number of edges in a graph with 10 vertices each of degree 5 is

A: A graph G is a pair (V,E), where V is a finite set of vertices and E a finite set of edges. We can…

Q: If a graph has 5 edges, how many vertices does it have?

A:

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

A:

Q: How many edges does this graph have?

A:

Q: If a graph has vertices of degrees 1, 5, 2, 3, and 3, how many edges does it have? Why?

A: We are given a graph that has vertices of degrees 1,5 ,2, 3,3 Now, by Handshaking lemma we have: Sum…

Q: 5.2. Describe a graph that models the electronic mail sent in a network in a particular week.

A: # we are entitled to solve one question at a time please resubmit the other question if you wish to…

Q: 1) Determine whether the graph shown has directed or undirected edges, whether it has multiple…

A: Directed graph: A directed graph is a graph in which all the vertices are connected together, where…

Q: Suppose a graph, G, has five vertices with degrees 9,8,6,5,4. How many edges does G have?

A: We have to find the number of edges in graph G.

Q: 26. How many edges are there in a graph with 10 vertices each of degree six? (a) 10 (b) 20 (c) 30…

A: We need to determine the number of edges in a graph that has 10 vertices each of degrees 6. We will…

Q: d. Add up all the indegrees, and add up all the outdegrees. What do you notice? Can you explain why…

A:

Q: How many vertices will a graphs have if it contains 16 edges and all vertices of degree 2

A: Let G be a graph having 16 edges and all vertices having degree 2

Q: If a graph has 8 edges, how many vertices does it have?

A: We have to solve given problems:

Q: Let G be a complete graph with n vertices. a. How many edges does G have? Explain why. b. What is…

A:

Q: What is the most edges a graph can have if it has p vertices and has a bridge?

A: Given: A simple graph with p-vertices.

Q: If G is a connected graph with no bridges, how many vertices of degree 1 can G have?

A:

Q: If a graph has 10 edges, then what is its size? Answer:

A: Graph Theory:- The order of a graph is its number of vertices |V|. The size of a graph is its number…

Q: Can you help me find the least number of vertices that make up the secure total dominating set of…

A: Graph theory: secure total dominating set

Q: If a graph has vertices of degrees 1, 1, 2, 3, and 3, how many edges does it have? Why?

A:

Q: If a graph has 8 vertices, then what is its order? Answer:

A: We have given a graph which has 8 vertices. We know that  Order of a graph is cardinality of…

Q: Is a complete graph with five vertices also a bi-partite graph? Justify your answer with drawings.

A: The solution is given below

Q: 4. Imagine that the diagram shown below is a map with countries labelled a-g. Is it possible to…

A: Given - Imagine that the diagram shown below is a map with countries labelled a-g.  To find - Is it…

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

A:

Q: b) A complete graph has 190 edges. How many vertices does the graph contain?

A: Complete graph: A complete graph is a fundamental undirected graph in which every pair of separate…

Q: 2) What is the maximum number of edges possible for any bipartite graph between A and B?

A:

Q: How many possible ways can you draw a graph using 5 vertices? Show all steps of your calculation.

A: To find the number of possible ways to draw a graph using 5 vertices.

Q: Draw a complete graph using five vertices a, b, c, d, e. (5)

A:

Q: What is the maximum number of edges can a graph with 10 vertices have?

A:

Q: 2. Check whether the following is a bipartite graph or not.

A:

Q: What do the in-degree and the out-degree of a vertex in adirected graph modeling a round-robin…

A: To Define : In-degree and Out-degree of a vertex in a directed graph modeling a round-robin…

Q: 10. Describe a graph model that represents whether each employee at a company gathering knows the…

A: According to question given :We have to describe the graph model that represents whether…

Q: Draw a graph with two loops around vertex e, with end vertices a and f, with multiple edges on…

A:

Q: What is the smallest number of colors you need to properly color the vertices of a Km,n graph? What…

A: Consider the lemma: A bipartite graph with at least one edge has chromatic number 2. It is known…

Q: B: Fined the dual graph for Jollowing graphs the

A: Given

Q: 2. Is the graph below a tree? Why or why not?

A: To identify given graph is tree or not

Q: (6) Check whether it is possible to draw a connected regular graph with odd number of edges and…

A:

Q: 9. (a) Draw a simple graph (no loops or multiple edges) with vertex degrees 2,3,3,3,4,4,4,5 (b) How…

A:

Q: Draw a complete graph using five vertices a, b, c, d, e.

A:

Q: Graph with four vertices of degrees 3 3 5 5

A: Graph with four vertices of degrees 3 3 5 5

Q: 1. Find a graph with 12 edges having six vertices of degree three and the remaining vertices of…

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: 26. In the following graph the vertices represent cities and the edges represent of cost of building…

A: To find the least expensive road system we will use KRUSKAL algorithm

Q: 2. In a round-robin tournament the Tigers beath the Blue Jays, the Tigers beat the Cardinals, the…

A: Given: In a round-robin tournament the Tigers beath the Blue Jays, the Tigers beat the Cardinals the…

Q: Consider a complete graph with 6 vertices labeled A, B, ... F. (a) If you can start at any vertex,…

A: Consider the given information.   (a)   First calculate the number of Hamiltonian circuit in 6…

Q: Draw a graph with six vertices and two bridges. Choose the correct graph below.

A:

Q: The diagram below shows a directed graph. b d a g f (a) What is the in-degree of vertex d? (b) What…

A: Since your question has multiple sub-parts, we will solve first three sub-parts for you. If you want…

Q: What is the minimum number of colors you need to color the vertices of this graph such that if two…

A:

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: (a) Draw a simple graph (no loops or multiple edges) with vertex degrees 3,3,3,3,4,4,4,6. (b) How…

A:

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…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.