do you notice? The sum of the indegrees equals the sum of the outdegrees. The sum of the outdegrees is one more than the sum of the inde The sum of the indegrees is one more than the sum of the outde The sum of the indegrees and the sum of the outdegrees are not

Q: 5. Apply Floyd's algorithm to find all-pairs shortest paths for the giver lirected Graph. A B

A: Answer

Q: (a) the chromatic number of G. Give a minimal colouring and a proof that a smaller number of colours…

A: The chromatic number of graph G is to determine the minimum number of colors needed vertex hence,…

Q: Given the following undirected unweighted graph G(V, E). a C What is E? b d e

A: The given graph is G ( V , E ) where , V represent the set of all vertices which is present in a…

Q: Additional Topics: Hamiltonian Paths and Cycles A Hamiltonian path in a directed graph is a path…

A: A Hamiltonian graph is one where you can find a path that visits every vertex exactly once. This…

Q: 1. Consider the following directed graph. A C F J D G В E H I 1. What are the sources and sinks of…

A: According to the information given:- We have to follow the graph and find the source and sink , one…

Q: Dijkstra's algorithm

A: Given :- A directed graph along with the weights is mentioned in the above  question

Q: Find the all-pair shortest path for the following graph.

A: Summary:In this question, we need to find all pairs of shortest paths for the given graph.

Q: Find the weight of the maximum spanning tree of this graph.

A: 1.To write a  function to find index of max-weight  vertex from set of unvisited vertices 2.Now we…

Q: a d b a) Give the vertex set of the G. b) Give the set of edge of G. c) Find the degree of each of…

A: In this question we have been given with the graph and we have to answer for the graph theory…

Q: Problem 8: Let G be a connected planar graph with n vertices and f faces. Prove that f≤ 2n-4.

A: Answer to the given question

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

A: Given:  vertices=15 edges=15

Q: Apply Dijkstra's algorithm to find the shortest path from S to D in the following graph. D.

A:

Q: A E в D

A: Number of Cycles: 1) B itself contains a self-loop and it can be considered as a cycle. 2) A-B has…

Q: Execute the Belman-Ford algorithm on the given graph. Let A be the start node and select the edges…

A: To Do: To write the value of d[D] after second iteration.

Q: Identify if the graphs below are Euler graphs. Show the Euler path

A: Eulerian Path is a path in graph that visits every edge exactly once. Eulerian Circuit is an…

Q: Find the adjacency list of given graph

A: Adjacency list of a graph is a representation of the graph where the connections between nodes is…

Q: Perform a

A: According to the question we need to answer:

Q: What is the chromatic number of this graph?

A: The chromatic number of a graph is least number of colours needed to make colouring. No two adjacent…

Q: Explain the working process of Thorup's algorithm for single source shortest path for undirected…

A: To determine the shortest routes from a single source to all other nodes in a graph, Thorup's…

Q: Give an example of a graph that has an Euler cycle that is also a Hamiltonian cycle.

A: Let's consider the following graph:1A---B 2| | 3C---D