apply Uniform cost -first search to the following search tree which state A is the initial state and goal state is I. Edge Edge cost A..B 5 A...C 2 B B...D B...E 7 (E G C...F C...G 1 D...S 3 (S H K S...T 23 E...H 4 F...I F...J T 3 G..K 3 K...L 5 O A, C,F,J,I A,B,C,F,I O A.C,F,I

Q: In the following graph which edges form the Minimum Spanning Tree? (Use Prim's Algorithm,start from…

A: Note: Step by step explanation given below. Prim's algorithm steps: Initialize the minimum spanning…

Q: es with both end points being black. uld like to maximize difference between his and Mark points,…

A: Here is the detailed C++ code for the above listed problem:

Q: If I pick a vertex on the graph, at random, and run Prim's Algorithm, let X be the number of edges…

A: Using Prim's Algorithm,the value of minimum spanning tree of the given graph

Q: In the Given graph G=(V, E), find Shortest paths among all pairs of vertices by using Floyed…

A: Given: V={a, b, c, d, e} E={(a, b, 3), (a, c, 8), (a, e, 4), (b, d, 1), (b, e, 7), (b, c, 4), (d, c,…

Q: In the Given graph G=(V, E), find Shortest paths among all pairs of vertices by using Floyed…

A: Given: V={a, b, c, d, e} E={(a, b, 3), (a, c, 8), (a, e, 4), (b, d, 1), (b, e, 7), (b, c, 4), (d, c,…

Q: 4. Run the Bellman-Ford algorithm on the directed graph given blow, using vertex z as the source. In…

A: please see the next steps for solutions.

Q: Perform following searches on the graph to find out for each strategy which goal is reached first…

A: Algorithm for BFS 1. PUT STATUS = 1 (ready state) for all node of graph G 2. Enqueue the…

Q: Consider the following directed Graph, the edge b->S is considered, start from vertex S then follow…

A: This question comes from data structure which is a part of computer science. Let's discuss it in the…

Q: Perform following searches on the graph to find out for each strategy which goal is reached first…

A: Depth First Search- It is a algorithm to traverse a graph or a tree data structure. It traverse a…

Q: For the weighted shortest path problem, let d, be the cost of reaching the current vertex V, let w…

A: let us see the answer

Q: Consider the following directed graph with edge weights. -1 -2 3 (5) -2 (a) Run the…

A: Using Moore-Bellman-Ford algorithm,  we have to find out single source shortest path and check the…

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: Use depth-first search starting at vertex SS  to construct a spanning tree of the graph below. If we…

A: Here in this question we have given a graph and we have asked to find the order of selecting edge…

Q: Consider the following directed graph G. The numbers next to each edge denote the cost of the edge.…

A: Answer to both the questions are detailed in step2.

Q: Let w be the minimum weight among all edge weights in an un-directed connected graph. Let e be a…

A: Minimum Spanning Tree: A minimum weight spanning tree is designed to connect all the possible…

Q: Let w be the minimum weight among all edge weights in an un-directed connected graph. Let e be a…

A: Spanning Tree : A graph spanning tree is the least connected subsection of the graph containing…

Q: Be G= (V.E) a connected graph and u, ve V. The distance Come in u and v, denoted by du, v), is the…

A:

Q: 3. (a) Suppose that G is a weighted directed graph that shows different paths from home to office as…

A: Note: Here We are answering question 3) a. because the second question graph is not given.…

Q: Consider the following edge-weighted graph G with 9 vertices and 16 40 60 90 50 70 20 30 80 S 10 130…

A: Steps: 1. Sort all the edges in non-decreasing order of their weight. 2. Pick the smallest edge.…

Q: What is the largest and the smallest possible cardinality of a matching in a bipartite graph G = (V,…

A:

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: Consider the following weighted undirected graph. 9 A 8 10 3 D E 14 F 2, 16 15 G 12 13 (a) the…

A: Defined the given graph MST using Krushal's algorithm and cheapest edge crossing the cut

Q: 12. Given graph K4, what edges can you remove to get a spanning tree? Give two possible solutions.…

A: According to the information given:- we have to provide two possible solution with removed edge…

Q: Consider the following graph as a roadmap where edge as road and vertex as house. Do following (i,…

A: graph theory: A graph is a ordered pair of two set V and E where V is vertex and E is edge. vertex…

Q: From a directed graph G, we can detect three strongly connected components (SCC), named as C1, C2,…

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

Q: Suppose you are given a connected undirected weighted graph G with a particular vertex s designated…

A: modify the graph such that all have the same weight. edges having weight 3x split them into three .…

Q: Suppose you are given a connected undirected weighted graph G with a particular vertex s designated…

A: The answer given as below:

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: If I pick a vertex on the graph, at random, and run Prim's algorithm, what is the expected total…

A:

Q: The Dream SMP is the first place to be attacked by the army of the creepers and zombies. Dream with…

A: Given:

Q: The Dream SMP is the first place to be attacked by the army of the creepers and zombies. Dream with…

A: The solution as per the given information

Q: The Dream SMP is the first place to be attacked by the army of the creepers and zombies. Dream with…

A: Solution as per the given information

Q: The Dream SMP is the first place to be attacked by the army of the creepers and zombies. Dream with…

A: Given: -

Q: The Dream SMP is the first place to be attacked by the army of the creepers and zombies. Dream with…

A: Given: -

Q: The Dream SMP is the first place to be attacked by the army of the creepers and zombies. Dream with…

A: Given:

Q: The Dream SMP is the first place to be attacked by the army of the creepers and zombies. Dream with…

A: Given: -  Solutions as per the given information

Q: 4. For the graph below: NNN a. A snow plow starts at vertex 0 and must return to vertex 0 using a…

A: It will have only one repeated edge i.e. 1.

Q: Be G= (V.E) a connected graph and u, VEV.The distance Come in u and v, denoted by du, v), is the…

A:

Q: Which goal is reached and what is the total cost of the solution found for the following state-space…

A: BFS algorithm starts searching from the root node of the tree and expands all successor node at the…

Q: Question 10 Consider the following weighted graph. Weights of edges are given in parentheses. h(6)…

A: As per  our guidelines, we only have answer the first question   It is a subset of edges of a…

Q: Be G=(V.E) a connected graph and u, VEV. The distance Come in u and v, denoted by du,i the length of…

A:

Q: Suppose you are given a connected weighted undirected graph, G, with n vertices and m edges, such…

A: SINGLE SOURCE SHORTEST PATH: Single source shortest path is an algorithm which is used to found out…

Q: During the execution of the Bellman-Ford algorithm, v.d can drop below 8(s, v), but it eventually…

A: Defined the given statements as true or false

Q: tices. Weight of the edge between nts ii and j is |xi, 1-xj, 1|+|xi,2-xj,2|+...+|xi,D-xj,D||xi,…

A: Here is the simple C++ code for the given question:

Q: If t 2 2 what is the expected number of copies of K, in a random graph НЕ G(n, p)?

A: random graphs, also known as Erd¨os-R´enyi random graphs. The degree of a node is the number of…

Q: True or false: let G be an arbitrary connected, undirected graph with a distinct cost c(e) on every…

A: Answer will be TRUE Explanation: As we all know that minimum spanning tree is a tree where the cost…

Q: Suppose in a state space graph, you can reach a goal node using multiple paths, where some are…

A: A state space graph is a graph in which the nodes are states and the edges between nodes are…

Q: A weighted graph consists of 5 nodes and the connections are described by: i. ii. iii. iv. Node 1…

A: The method used for single source shortest path is minimization. Minimization method is also a…

Q: Consider a coalitional game r= {N, v(.)} given by: N= {1, 2, 3}, v(1)= v(2) = v(3) = 0, v(12) = 2.5,…

A: Step 1:- Introduction:- Coalitional Game Theory provides an environment to work with a math tool to…

Q: In the following G, each adjacency list is sorted in increasing alphabetical order. в Do depth-first…

A: Note-> DFS  is using stack . -------------------------------------------------------------------…