A graph is a set of and set of variables, values O vertices, distances O Vertices, Edges Variable, equation

Q: Undirected graph V consists of vertices A, B, C, D, E, F, G and edges (E,B), (A,C), (A,D), and…

A: Approach: DFS visits all connected vertex vertices provided. When it repeats across all vertices,…

Q: A graph must have at least one edge. O True False

A: Here in this question we have asked that a graph must have at least one edge.this statement is true…

Q: Adjacency matrix of undirected graph is given. Count the number of hanging vertices in it. The…

A: //note: since the programming language is not specified we are providing answer in cpp #include…

Q: Question 2: Draw a simple undirected graph G that has 11 vertices, 7 edges. Note hand drawing not…

A: INTRODUCTION: The simplest basic data structure is a graph. An undirected graph is made up of nodes…

Q: The degree of a node in a simple undirected graph is equal to the number of its adjacent nodes. O…

A: Refer to step 2 for the answer.

Q: A planar graph has 5 vertices and 3 faces. How many edges does it have? (b) A planar graph has 7…

A: Answer a) For any (connected) planar graph with v vertices, e edges and f faces, we have v-e+f=2…

Q: A connected simple graph has five vertices (each of degree four). Into how many regions is the plane…

A: Here in this multiple question.in the first one we have asked to find the no of region in the…

Q: Draw a graph with four vertices of degrees 1, 2, 2, and 7 or else explain why no such graph exists.

A: It states that the sum of degrees of the vertices of a graph is equal to twice the number of edges.…

Q: Let G be a connected planar graph with 32 vertices, 50 edges and degree of each region is k. Find…

A: the value of region as k is calculated in step 2.

Q: Design a graph-based solution to represent the bus stations for the area that you live, then…

A:

Q: Given the following undirected pseudograph.     A. Find the number of vertices. B. Find the…

A: The Given Graph :

Q: By induction prove that any planar graph can be colored in no more than 6 colors where no two…

A: Below i have answered:

Q: (a) Given the following graph G(V, E), find the shortest path from A to other vertices in the graph.…

A: here is your answer

Q: If a simple graph G is having 11 vertices and 9 edges then its complement graph G will have 11…

A: Explanation: To calculate Edges:  |E(G)| + |E('G-')| = |E(Kn)| 9 + |E('G-')| = 11(11-1)/2 9 +…

Q: Find the following expression, which is given in the prefix notation. - / * 6 + * 4 y 7 3 x and…

A: Given expression: - / * 6 + * 4 y 7 3 x Substitute the values “A”, and “B” to “x”, and “y”…

Q: What does a negative cycle on a graph mean? What may be done with a negative cycle graph to discover…

A: A negative cycle is one in which the overall sum of the cycle becomes negative.

Q: How many edges does a graph have if it has vertices of degree 4,3,3,2,2? Draw such a graph.

A: As given, we need to find out how many edges does a graph have if it has vertices of degree…

Q: A connected planar graph divides the plane into a number of regions. If the graph has eight vertices…

A: Introduction:In the question we have given that graph hasvertex = 8edges = 13we have to find out…

Q: A connected simple graph has five vertices (each of degree four). Into how many regions is the plane…

A: Given: Vertices = 5 Degree = 4

Q: A graph G is depicted in the diagram below. 3 6 a) What is the total degree of G? b) List the…

A: The Answer is

Q: Given the graph G = (V, E, w), below, find the shortest paths between vo and all other vertices. %3D…

A: The adjacency matrix is given below : Here  A=v0 , B=v1 , C=v2  , D=v3  , E=v4  , F=v5  , G=v6  ,…

Q: In an undirected graph, the sum of degrees of all vertices is a. Odd b. Even c. Even and odd both.…

A: Given that In an undirected graph, the sum of degrees of all vertices is a. Odd b. Even c.…

Q: What is the difference between Circuit and Cycle of a graph? Give a definition of a Complete graph…

A: a. Difference between circuit and cycle of graph Circuit: A circuit in a graph forms with a path…

Q: Suppose a graph has five vertices of degree 2 and three vertices of degree 3 and the remaining…

A: The sum of all degrees is equal to twice the number of edges.

Q: A graph that contains loops and possibly multiple edges is called a Simple graph Multigraph…

A: Question A graph that contains loops and possibly multiple edges is called a 1.Simple graph…

Q: Draw a simple undirected graph G that has15 vertices, 15 edges.

A: Given:  vertices=15 edges=15

Q: If the number of vertices in a graph is 21 and the number of edges is 23, then the BigOh notation…

A: breadth first search  It takes O(V)O(V), left parenthesis, V, right parenthesis time to initialize…

Q: Given an undirected graph as shown below, please give the edge sequences in constructed order by…

A:

Q: A graph without multiple edges and loops is called a graph. (simple graph, mixed graph)

A: Actually, given question regarding graph.

Q: (a) List/Describe all types of graphs that have a diameter equal to 1? (b) What is the diameter of…

A: Since , in a above graph the maximum distance between two vertices of a graph is '1' Hence, the…

Q: How many edges would a complete graph have if it had 6 vertices? 30 25 15 20 QUESTION 8 If every…

A: Here in this question we have two questions.in the first one we have asked that how many edge would…

Q: A) [5] Given the order and size of a graph Gie 10 and 14 respectively. The degrees of vertices in G…

A:

Q: Question 11 Consider the following graph. Find a b f d (i) the number of vertices. (ii) the number…

A: Hey there, I am writing the required solution for the above stated question. Please find the…

Q: Give an example of a graph with an infinite number of vertices that has a finite chromatic number.

A: 1. If an infinite number of vertices means then we can simply say the chromatic number is EVEN or…

Q: 3. For each n > 1, let S, be the graph obtained by taking a collection of n paths P,..., Pn and…

A: Solution of part a:

Q: An undirected graph G with only one simple path between each pair of vertices has two vertices of…

A: In question, it is given that: Undirected G graph with only one simple path between each pair…

Q: Create an algorithm that returns true if a graph contains a Hamiltonian cycle, and false otherwise…

A: Due to company policies I am compelled to solve only one question and that is the first question.…

Q: Draw a directed acyclic graph with 6 vertices and 14 edges (IF EXIST), IF Doesn't Exist, Give Your…

A: For a directed acyclic graph, we can have a maximum of n(n-1)/2 number of edges if n is number of…

Q: Recall that K,n is the complete graph with n vertices'. Let u, v be two different vertices in Kn.…

A: A Hamiltonian Path in a graph having N vertices is nothing but a permutation of the vertices of the…

Q: Propose an algorithm that takes a directed graph and determines whether it's a circle - pseudocode

A: Depth First Traversal can be used to detect a cycle (circle) in a Graph. DFS for a connected graph…

Q: Show the formal notation V(...) and E...) of the graph that is described by the following adjacency…

A: We are given an adjacency matrix and using this we are going to find out list of vertices and edges.…

Q: True or false: A max flow of a graph is always the sum of a subset of its edges

A: Maximum flow is finding the feasible flow through a single source , single sink flow network that is…

Q: Consider the following graph G. Which vertices of G have degree equal to 2. A t u B C W D X E TI F y…

A: According to the question, we have to find the vertices which has degree equal to 2. In step 2, we…

Q: A graph is a collection of vertices and edges G(V, E). A weighted graph has weights (numbers, etc.)…

A: A person should use a weighted graph instead of a multigraph due to the following reasons: The…

Q: For a node in an undirected graph, if it is not connected to any node except itself, its degree is…

A:

Q: Q1: Draw a simple undirected graph G that has 11 vertices, 7 edges.

A: Answer: 11 in the given graph 11 vertices and 7 edges

Q: draw an example of such graph  A graph with 7 vertices with degrees 5,3,3,2,2,2,1

A: Introduction: As there is some basic thing you should now . If the addition of degrees is even then…

Q: The running time needed to determine if the edge (u, v) belongs to the set of edges E and the graph…

A: In this question, we are asked the running time needed to determine if the edge (u, v) belongs to…

Q: Adjacency matrix of undirected graph is given. Count the number of hanging vertices in it. The…

A: I have provided the answer based on C++ Programming. Detailed comments are included for a better…

Q: What graph would give a straight line for each of the following: a. Zero Order:…

A: What graph would give a straight line for each of the following: a. Zero Order:…

Linear Programming Concepts

Linear programming is a famous mathematical modeling tool for determining the best distribution of scarce resources among competing demands. Machinery, time, personnel, raw materials, money, and space are all resources. It is used to find the most optimal solution to a problem with given constraints. The real-life situations can be formulated using linear programming concepts into a mathematical model. Linear programming problems consist of an objective function and linear equalities subjected to constraints.