1. Suppose you use linked-list for implementation of the disjoint sets and run CONNECTED-COMPONENTS on an undirected graph G = (V, E), where V = {a, b, c, d, e, f, g, h} and the edges of E are processed in the order (e, f),(a, c),(b, c), (g, e), (d, a),(a, b), (c, d),(f, g). Assume you use weighted-union heuristic.
How many operations are performed to complete all the operations? (Count operations for MAKE,FIND,UNION and sum them up)
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1. Suppose you use linked-list for implementation of the disjoint sets and run CONNECTED-COMPONEN...
Other answer is incorrect Problem 1. (15 points) Consider an undirected connected graph G = (V, E) with edge costs ce > 0 for e € E which are all distinct. (a) [8 points). Let E' CE be defined as the following set of edges: for each node v, E' contains the cheapest of all edges incident on v, i.e., the cheapest edge that has v as one of its endpoints. Is the graph (V, E') connected? Is it acyclic?...
1. Time Complexity of Kruskal's Algorithm Which best describes the relative time complexities of the pre-sorting and main parts of algorithm? A) The time to pre-sort dominates B) The main part dominates C) The relationship depends on the sort and disjoint-set operations being used D) Kruskal's algorithm doesn't use pre-sorting 2. Kruskal's Algorithm: Disjoint Set Operations What are the number of calls to the respective disjoint set operations in Kruskal's Algorithm? A) MAKE-SET O(V), FIND O(V), UNION (V) B) MAKE-SET...
1. You will be asked questions about graphs. The graphs are provided formally. To answers the questions, it may help to draw the graphs on a separate sheet. a Consider the graph (V, E), V = {a,b,c,d) and E = {{a,d}, {b,d}, {c, d}}. This graph is directed/undirected This graph is a tree y/n. If yes, the leafs are: This graph is bipartite y/n. If yes, the partitions are: a, d, b, c is/is not a path in this graph....
1) Suppose that a directed graph contains the following edges. Find the strongly connected components. {(h, i), (i, j), (j, k), (k, h), (l, m), (m, n), (n, p), (p, l), (f, i), (c, e), (j, b), (k, l), (a, b), (b, c), (c, a), (d, e), (e, f), (f, g), (g, d)}. a) How many vertices are there in the component having the smallest number of vertices? b) How many vertices are there in the component having the second...
In this project, you will be writing an object that implements an ordered linked list with operator overload support for insertions and deletions. The specification for the list object will be provided upfront and you must design an implementation that supports the provided specification. In addition, you will be given a list of tasks that should be performed. CIS 221 Programming II C++ Programming Project operator overloaded ordered Linked List object Overview In this assignment, the student will write a...
1. Consider the sets: A = {a, b, c, d, e, f, h, j}, B = {a, b, i }, C = {f, h} and U = {a,b,c,d,e,f,g, h,i,j} a. Draw a Venn diagram and place each element in its appropriate region. Insert a photo of your diagram into your HW document. b. Is C a subset of A? Why? C. Is C a subset of B? Why? d. Is A a subset of B? Why? e. Are B and...
Q.(1)Describe the algorithm and java implementation for the following operations A. Create a singly linked list L1 with 4 nodes. You can use insert operation to add nodes to the list. Each element represent an airport code (e.g. BOS, ATL, JFK, MSP, etc.). Display the list L1 after it is created. B. Given singly linked list L1, create another singly linked list L2 that contains the same elements but in the reverse order. Display the content of both L1 and...
Please type; I have a tough time reading handwriting. Thank you Give the connected components for the following graph: V = {a, b, c, d, e, f, g, h, i, j}. E = { {f,h}, {e,d}, {c,b}, {i,j}, {a,b}, {i,f}, {f,j} }
Instructions Part 1 - Implementation of a Doubly Linked List Attached you will find the code for an implementation of a Singly Linked List. There are 3 files: Driver.java -- testing the List functions in a main() method. LinkNode.java -- Class definition for a Node, which is the underlying entity that stores the items for the linked list. SinglyLinkedList.java -- Class definition for the Singly Linked List. All the heavy lifting happens here. Task 1 - Review & Testing: Create...
Suppose we have 2n people, some of which are related to some of the others. We might want to split them into groups of two, so that the two people in a group are related (if this is possible). Expressing this as a graph problem, suppose we have an undirected graph G = hV;Ei. A pairing is a set P E of edges such that for all (u; v); (x; y) 2 P, the nodes u; v; x; y are...