the number of edges in a complete undirected graph of 80 vertices is..? Select one: a. exactly equals 3160 b. None c. less than or equals 3160 d. less than or equals 6320 e. exactly equals 6320

Q: . Which of the following is the longest path in the graph?  b. What is the longest cycle in the…

A: First lets understand path and cyclePath : is traversing a sequence of vertices where vertices and…

Q: Does his graph contain any cycles? O Yes, this graph has a cycle. O No, this graph has no cycles.…

A: Cycle or not cycle ,sinks and source node

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: The number of edges of a complete graph having n vertices is n(n + 1)/2,   True False

A: The correct answer and explanation are provided below. Please check.

Q: Identify the number of vertices in the below directed graph? 6 5 (3 2 O a. 4 O b. 5 O c. 7 d. 6

A: Lets see the solution.

Q: It is possible draw a graph that : is it a tree, * .has 5 vertices, and has 6 edges true False O

A: It is possible draw graph that is it a tree has 5 vertices and has 6 edges

Q: It is possible draw a graph that : is it a tree, * .has 5 vertices, and has 6 edges

A: 1.)Congruent Modulo (≡)- Two numbers 'a' and 'b' are said to be congruent modulo to 'n' i.e. (mod…

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

A: TRUE

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: Consider the following graph: a Does his graph contain any cycles? O Yes, this graph has a cycle. O…

A: Graph, sinks and source node

Q: Answer the following statements as true or false regarding Prim's algorithm: a. True or False:…

A: Here in this we have asked that statement related to prims algorithm is true or false. Prim's…

Q: Vhat is the chromatic number of this graph? Can this graph be redrawn as a planar graph? (Enter yes…

A: Chromatic number is the minimum number of colors used to color the given graph. We can check it…

Q: Does his graph contain any cycles? O Yes, this graph has a cycle. No, this graph has no cycles.

A: No, the graph does not have a cycle. As there is no path that starts and ends at the same node.

Q: (MS) Select all that are true. a. Every graph has a vertex cover of size 0. b. Every graph has a…

A: Lets see the solution.

Q: f non-equivalent graphs with 6 vertices. How many are there?

A: There are four non-equivalent graphs with 6 vertices.

Q: What are the main parts of the planar graph?   Select one: a. Nodes, edges b. Evaluations of the…

A: Given :- What are the main parts of the planar graph? Select one: a. Nodes, edges b. Evaluations of…

Q: What is vertex coloring of a graph? A. A condition where any two vertices having a common edge…

A: Please find the answer below

Q: In this graph, which are the vertices? abcdefghij + x Which are the edges? UVWXYZ + X Which vertices…

A: Vertices are also called as nodes of graphs which are resembled in Circles So, in this graph…

Q: The weights of edges in a graph are shown in the table above. Apply the nearest neighbor algorithm…

A: 1) A to B(next nearest vertex) nearest distance=5 B to E(next nearest vertex) nearest distance=15 E…

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

A: We are given the number of vertices and edges of the graph and we are suppose to find Big-oh for BFS…

Q: How many paths of length 2 exist from any vertex to other vertices on the graph K4? a) Infinite b)…

A: Graph K4 is as follows: The adjacency matrix of K4: X = 0111101111011110

Q: a) How many edges does a K50 graph have? Answer: b) What is the degree of each vertex of a K50…

A: A graph is consists of a number of edges and vertices. it is represented as G = (V, E). A bipartite…

Q: a) How many edges does a K50 graph have? Answer: b) What is the degree of each vertex of a K50…

A: GIVEN:

Q: It is possible draw a graph that : is it a tree, .has 5 vertices, and has 6 edges true O

A: Required: TRUE and False

Q: How would I get the maximum number of components in a simple graph? For example a simple graph with…

A: Actually, graph consist of vertices and edges.

Q: What are the different ways can we traverse a graph? Find out a path from 'a' to 'd’ by using DFS. e…

A: First question A graph is a set vertex and edges and it is written as G = (V, E) where V is the…

Q: a connected graph with 20 vertices contains 31 edges. without knowing which particular graph this…

A: Answer is given below .

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: Consider the following graph: h f d b a Does his graph contain any cycles? O Yes, this graph has a…

A: In above graph we can clearly see that only vertex a, c, d, e, f, g  have both incoming and outgoing…

Q: A graph is finite if O (b) It vertex set is infinite. (c) Both of it is vertex set and it is edge…

A: As per the question , the graph is finite if

Q: A forest contains 50 vertices and 54 edges. how many connected components does the graph have?

A: Relation between edges, vertices and components.  m<=[ (n-k+1)(n-k) ]/2

Q: How many edges are there in a graph with 7 vertices, each of degree 3? 10 37 73 None - this graph…

A: Step 1  The answer is given in the below step

Q: A graph has four vertices. we you draw the graph if the degree of the vertices are: because a.…

A: Answer : - option D ) (2,3,3,4) total degree should be even.

Q: Which of the following is referred to as a graph where each of the vertices is connected by an edge…

A: A graph is a data structure which contains set of edges and vertices connected legally .

Q: What are the different ways can we traverse a graph? Find out a path from 'a' to 'd’ by using DFS. a…

A: There are mainly two ways to traverse the graph and these are: BFS (Breadth First Search )…

Q: Shown below is a properly colored graph, with vertex set [6], that has all the odd numbers orange…

A: Lets see the solution.

Q: Sasha typed a mispelled word in her college essay. If the word was "moke",  make a graph with words…

A: So to spell checker can used this graph. Suppose we have we see the word moke, it is not a word to…

Q: construct a bipartite graph with vertices L,M,N,O,P,Q that is a tree. what is the edge set?…

A: construction of a bipartite graph with vertices L,M,N,O,P,Q that is a tree is given as shown below.…

Q: J and Mark are very lazy guys. These are not the guys from some game, these re the ones playing…

A: Below is the simplified C++ code for the given problem:

Q: What are the different ways can we traverse a graph? Find out a path from 'a' to 'd’ by using DFS. d…

A: Graph Traversal: Graph traversal is a search technique for finding a vertex in a graph. In the…

Q: LA b 2 3 D d A B a) Name the vertices? b) Name the edges? c) How many edges are there in each graph?…

A:

Q: Question 16 The degree of a vertex in a Graph is defined as: O Total number of vertices in the…

A: Question :-

Q: the following graph, find the node with longest distance from its predecessor. The distance between…

A: Steps: Find node with longest distance from its predecessor. 1.This is find out by using BFS or DFS…

Q: Which of the following are properties of every tree? a. The graph must be rooted b. Every vertex…

A: About the properties of every tree

Q: Find back-edges for the following graphs starting from smallest nodes, and then find articulation…

A: import random   class Graph:     # instance variables     def __init__(self, v):         self.time =…

Q: Show the steps of the Prim-Jarnik algorithm on the graph below, as done in class, starting with node…

A: The cost of the spanning tree is the sum of the weights of all the edges in the tree.  Minimum…

Q: What is the chromatic number of a complete graph with five vertices?

A: What is the chromatic number of a complete graph with five vertices?

Q: Write a program to find the out-degree of a single vertex whose graph is stored in an adjacency…

A: Program in c++: #include <iostream> using namespace std; struct graph {     int v;     int…

Q: You see an adjacency list representation of a graph in Figure 2. Which choices are true? a. There is…

A: The problem is based on the adjacency list of a graph.

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…