s, t, u} E = {(p,q), (q,r), (r, s), (t,p), (q,t), (r, t), (t,u)} Which of the following is correct? Select one: A.There are 7 vertices B.There are 7 edges. C.The degree at v

Q: On a given set of n vertices, how many (labelled) graphs contain exactly m edges? Note : CmC is to…

A: Introduction :Given , number of vertices : nWe have to calculate numbers of labeled graphs which…

Q: Let $G$ be a DAG with $n$ vertices.         \begin{enumerate}             \item How many strongly…

A: a)We have given G be a directional acyclic graph with n vertices and we have to find strongly…

Q: Let n N with n > 2 and let G₁ = (V, E) be the graph with vertex set V = {V₁, V₂,..., U2n} and edge…

A: In 1st graph, there are 4 vertices out of which we are asked for v1. If we consider triangles for…

Q: An edge is called a bridge if the removal of the edge increases the number of connected components…

A: An edge is called a bridge if the removal of the edge increases the number of connected components…

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: Suppose you have the following graph, what is the correct representation of its edges? D O E=…

A: correct ans:- D- E= {(A,B), (B,A),(B,C),(C,B),(B,D),(D,B),(C,E),(E,C),(D,E),(E,D),(E,F),(F,E)…

Q: Determine which of the following are walks. If a vertex sequence is a walk, determine if it can be…

A: Walk-> In a graph, a walk is said to be a sequence of vertices and edges. In a walk, any edges…

Q: Represent the following graph using an edge array, a list of edge objects, an adjacency matrix, an…

A: The question is to write various representations for the given graph.

Q: 4. Below given a point set in the Euclidean metric. Draw Voronoi regions (dashed edges) Voronoi…

A: I have answered the question in second step.

Q: 3 Counting 1. There are 2" rooms, where each room is the vertex on a n-demensional hypercube,…

A: Total rooms = 2^n Dimensions = n   Given string length n (bits) Each room has n doors Path i -> j…

Q: Given weighted graph below: int[] vertices = (0, 1, 2, 3, 4); edges - new int[00 { (0, 1, 2), {0, 3,…

A:

Q: the following is not a walk from vertex x to vertex z for the undirected graph

A: Not a walk from vertex x to vertex z for the undirected graph

Q: Let G be a directed graph possibly with positive edge length. Let v + vz V3V4 be one shortest path…

A: Let G be a directed graph possibly with positive edge lensth. Let be one shortest path from vt to ,.…

Q: 5 Let G be a DAG with n vertices. (a) How many strongly connected components are there in G? Justify…

A: A directed graph is strongly connected if there is a path between all pairs of vertices. A strongly…

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: Daniel and Ria are taking a road trip from Somerville to Vancouver (that’s in Canada). Because it’s…

A: There are two correct and efficient ways to solve this problem. The first solution makes a new graph…

Q: 1 Given the following code to set up a graph, what is the degree of red's vertex? String[] vertices…

A: Graph is a non-linear data structure.

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: Let DIST (u, v) denote the distance between vertex u and v. It is well known that distances in…

A: Given that, DIST(u, v) is the distance between the vertex u and v. If we consider any three vertices…

Q: Given the graph below, which of the following edges are part of the MST? Choose all the correct…

A: EXPLANATION: The edges of an undirected graph do not point in any particular direction (ie. the…

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: 5. Vertices: (a, b, c, d, e, f. g} Edges: {{a,b). {a, f). (b, e). (b. g). (c. f). {c. g). (c. d).…

A: vertices {a,b,c,d,e,f,g} edes given draw graph and find adjacent vertices of vertex c find shortest…

Q: Which one of the following 4-vertex undirected graphs G=(V,E), where V={a,b,c,d} is loop-free?…

A: If any of the edges follows a transitive property then it will contain edges.

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: So i want to find how quickly can i update an already given MST of a graph G by adding a new vertex…

A: Spanning Tree Given an undirected and connected graph G=(V, E), a spanning tree of the graph G is a…

Q: Prove the following claim : Given a graph G and two vertices a,b of it, there is a walk between a…

A: Given: Prove the following claim : Given a graph G and two vertices a,b of it, there is a walk…

Q: Answer the questions below based on the given graph G. e3 V1 ei V2 e4 V4 eii e6 V6 V7 V5 e9 e7 V8 G…

A: 1. Adjacent vertices of a vertex are the vertices which have a common edge to the particular vertex.…

Q: 3. For each n ≥ 1, let S, be the graph obtained by taking a collection of n paths P₁,..., Pn and…

A:

Q: Question 1. Find the shortest paths from a vertex with the remainder when the last digit of your…

A:

Q: One can manually count path lengths in a graph using adjacency matrices. Using the simple example…

A: There are several different ways to represent a graph in a computer. Graphs can also be represented…

Q: Let G be a forest with k trees, n vertices, f faces and m edges. What is the value of m? (i) n +f -…

A: Forest :- Group of trees If in a graph there are 3 trees  that means k =3 total 6 nodes means n=6 if…

Q: Using the algorithm of your choice, determine one possible minimum-weight spanning tree

A: The solution is given below:

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: You are given an undirected chart with n vertices and m edges. Additionally, you are given an…

A: Here have to determine about the Graph Subset   programming problem statement.

Q: We say a graph G = (V, E) has a k-coloring for some positive integer k if we can assign k different…

A: Answer: Graph Colouring:  Let G be graph and m be a given positive number. With m colours we have…

Q: Given weighted graph below: int[] vertices = (0, 1, 2, 3, 4); edges = new int[]0 { (0, 1, 2), {0, 3,…

A: from given information we can draw graph  and its adjacency matrix as follows

Q: Given weighted graph below: int[] vertices = {0, 1, 2, 3, 4); edges = new int[]0 { {0, 1, 2), {0, 3,…

A: Given weighted graph below: int[] vertices = {0, 1, 2, 3, 4}; edges = new int[][] { {0, 1, 2}, {0,…

Q: Which one of the following is a path from vertex x to vertex y for the graph G=(V,E), if…

A: Here in this question we have given some sequence of vertex and edge and we have asked to find which…

Q: Draw the graph represented by the following adjacency matrix on a piece of paper, take a photo of…

A: Given vertices are numbered from 0 to 3 And the values in adjacency matrix are used to represent the…

Q: Vertex S denotes the start state and vertices G1 and G2 denote the two goal states. Directed edges…

A: In Depth First Search traversal, the nodes are traversed one after the other and if there is new…

Q: Consider a directed graph G represented by the following adjacency lists. 1 - 6 - 3 3 - 2 4 2 6 5 -…

A:

Q: Draw a binary search tree for the following sets of vertices.  50, 40,60,30,45,100 20,45,19,30,200

A: A binary search tree has a property in which each node has a left child node who's value is less…

Q: We construct a graph G = (V,E) on n = 30 vertices as follows: A = {1,2, ..., 10} В %3 {11, 12, ...,…

A:

Q: Consider the following edge-weighted digraph with 8 vertices and 13 edges. v->w weight A->E A->B…

A: Bellman ford algorithm: This algorithm is used to find whether the graph is having negative weight…

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: Suppose you have the following graph, what is the correct representation of its edges? A B O O C D E…

A: A mathematical representation that defines the relationship between points and lines is called a…

Q: In the graph above, in what order would the vertices be visited by a depth first search starting at…

A: DFS: Depth-first search is an algorithm for traversing or searching tree or graph data structures.…

Q: Suppose you have the following graph, what is the correct representation of its edges? O O O E=…

A: Answer:

Q: The figure below shows a directed acyclic graph: E F D Select the ordering of the vertices that is…

A: The Answer is