Here are two new definitions about graphs. The distance between two vertices in a graph is the number o edges in a shortest path connecting them. The diameter of a graph is the greatest distance between any pair of vertices in the graph. 1. What is the diameter of the cycle C13? What is the diameter of the cycle C14? 2. What is the diameter of the path Pg? 3. What is the diameter of the compelte graph K4? 4. What is the diameter of the complete bipartite graph K3,4?

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: The graph is another structure that can be used to solve the maze problem. Every start point, dead…

A: The graph for the given maze is...

Q: The degree of a vertex is defined to be the edges connected to the vertex. For a directed graph, the…

A: def calcDegree(graph): # create empty degree list degree = [[0,0] for i in range(len(graph))] for i…

Q: What

A: Theorem 5.10.6 (Five Color Theorem) Every planar graph can be colored with 5 colors.   Proof. The…

Q: Brad is provided with a graph containing X branches. And it's given that the xth branch has a weight…

A: Introduction: Here, in this question, we have to write a Python code that finds the number of…

Q: Programming with Python:  v Implement Depth First Search (Traversal)  v Implement Breadth First…

A: Depth First Search(DFS): DFS is the graph traversal algorithm. It uses a stack to implement. It is…

Q: A knight's tour is a sequence of moves of a knight on a chessboard such that the knight visits every…

A: Python which refers to the high-level, general-purpose programming language. Its design which…

Q: For each of the following statements, decide whether it is true or false. If it is true, include a…

A: In these questions, we are given 3 statements and we have to check whether they are true or false.

Q: 35. Any simple graph with n vertices is connected if it has A. Less than (n)(n-1)/3 edges

A: Given:

Q: Brad is provided with a graph containing X branches. And it's given that the xth branch has a weight…

A: In this problem we need to design a program to solve the above  problem. Algorithm -  First store…

Q: Brad is provided with a graph containing X branches. And it's given that the xth branch has a weight…

A: Introduction: Here, in this question, we have to write a Python code that finds the number of…

Q: Number of vertices is 14.  Create a weighted connected graph with... Number of vertices is 14.…

A: The question is asking to create a weighted connected graph with 14 vertices, labeled alphabetically…

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

A: #include<bits/stdc++.h> #define ll long long #define ull unsigned ll #define uint unsigned…

Q: Suppose you have a graph with N vertices. What is the largest number of edges it may have? log N…

A: Below is the answer assuming the graph provided is an undirected graph.

Q: Prim's C++ algorithm. If you provide the software the number of vertices and adjacency matrix of a…

A: #include <iostream>#include <vector>#include <queue>#include <climits>using…

Q: Write a python program that, for a given graph, outputs a. Vertices of each connected component; b.…

A: a) #include<iostream> using namespace std; void addedge1(int G[6][6], int u, int v){ G[u][v] =…

Q: In graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels…

A: -Vertex coloring is the most common graph coloring problem.  -The basic algorithm never uses more…

Q: 1. Input: An unweighted graph G = (V, E). 2. Output: C = {C1,C2,...,Ck }, k clusters of G. 3.…

A: We will implement the given steps of the algorithm in Python using the networkx method…

Q: Brad is provided with a graph containing X branches. And it's given that the xth branch has a weight…

A: Introduction: Here, in this question, we have to write a Python code that finds the number of…

Q: Which of these graphs are trees?

A: As per our guidelines we are supposed to solve only one question, kindly repost rest question…

Q: Draw an example of a graph that cannot be colored by 4 colors (where the two ends of an edge are not…

A: The question is: Draw an example of a graph that cannot be colored by 4 colors (where the two ends…

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: Number of vertices is 14.  Create a weighted connected graph with... Number of vertices is 14.…

A: To create a weighted connected graph with the given characteristics, we will start by drawing the 14…

Q: 1. Let Sn denote a directed graph with n vertices, numbered from 1 to n, in which there are edges…

A: Code : class AdjNode:    def __init__(self, value):        self.vertex = value        self.next =…

Q: 6. Determine the breadth-first and depth-first traversals for the following graph: (start with…

A: Depth First Search (DFS) and Breadth First Search (BFS) are algorithms used to traverse or search a…