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Cormen Edition 3 Exercise 22.2 Question 8 (Page No. 539)
The diameter of a tree $T= (V, E)$ is defined as $max_{u,v\ \epsilon\ V}\ \delta(u,v)$, that is, the largest of all shortestpath distances in the tree. Give an efficient algorithm to compute the diameter of a tree, and analyze the running time of your algorithm.
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Cormen Edition 3 Exercise 22.2 Question 7 (Page No. 539)
There are two types of professional wrestlers: babyfaces ( good guys ) and heels ( bad guys ). Between any pair of professional wrestlers, there may or may not be a rivalry. Suppose we have n professional wrestlers and we ... between a babyface and a heel. If it is possible to perform such a designation, your algorithm should produce it.
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Cormen Edition 3 Exercise 22.2 Question 6 (Page No. 539)
Give an example of a directed graph $G=(V, E)$, a source vertex $s\ \epsilon\ V$ , and a set of tree edges $E_{\Pi}\subseteq E$ such that for each vertex $v\ \epsilon\ V$ ... set of edges $E_{\Pi}$ cannot be produced by running BFS on G, no matter how the vertices are ordered in each adjacency list.
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UGCNETJune2019II61
Match ListI with ListII: ... (d)(ii) (a)  (ii); (b)(i); (c)(iv); (d)(iii) (a)  (iii); (b)(i); (c)(iv); (d)(ii)
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Jul 2
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GEEKS FOR GEEKS GATE 2017 MOCK
If Kruskal’s algorithm is used for finding a minimum spanning tree of a weighted graph G with n vertices and m edges and edge weights are already given in a sorted list, then, What will be the time complexity to compute the minimum cost spanning tree given that union and find operations take amortized O(1) ? A O(m logn) B O(n) C O(m) D O(n logm)
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Jun 9
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Hirak
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6
Difference between DAG and Multistage graph
I have trouble understanding the difference between DAG and Multistage graph. I know what each of them is But I think that a multistage graph is also a DAG. Are multistage graphs a special kind of DAG?
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Apr 28
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Graph Theory
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gmrishikumar
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Cormen Edition 3 Exercise 22.1 Question 8 (Page No. 593)
Suppose that instead of a linked list, each array entry $adj[u]$ is a hash table containing the vertices $v$ for which $(u,v) \in E$. If all edge lookups are equally likely, what is the expected ... alternate data structure for each edge list that solves these problems. Does your alternative have disadvantages compared to the hash table ?
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Apr 7
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Algorithms
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akash.dinkar12
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Cormen Edition 3 Exercise 22.1 Question 6 (Page No. 593)
Most graph algorithms that take an adjacencymatrix representation as input require time $\Omega(V^2)$,but there are some exceptions. Show how to determine whether a directed graph $G$ contains a universal link $$ a vertex with indegree $V1$ and outdegree $0$ in time $O(V)$ , given an adjacency matrix for $G$.
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Apr 7
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Cormen Edition 3 Exercise 22.1 Question 5 (Page No. 593)
The square of a directed graph $G=(V,E)$ is the graph $G^2=(V,E^2)$ such that $(u,v) \in E^2$ if and only $G$ contains a path with at most two edges between $u$ and $v$ .Describe efficient algorithms for computing $G^2$ and $G$ for both the adjacency list and adjacencymatrix representations of G. Analyze the running times of your algorithms.
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Apr 7
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Algorithms
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akash.dinkar12
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Cormen Edition 3 Exercise 22.1 Question 4 (Page No. 593)
Given an adjacencylist representation of a multi graph $G=(V,E)$, describe an $O(V+E)$ time algorithm to compute the adjacencylist representation of the equivalent undirected graph $G'=(V,E')$ , where $E'$ is ... the edges in $E$ with all multiple edges between two vertices replaced by a single edge and with all selfloops removed.
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Apr 7
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Algorithms
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akash.dinkar12
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Cormen Edition 3 Exercise 22.1 Question 3 (Page No. 592)
The transpose of a directed graph $G=(V,E)$ is the graph $G^T=(V,E^T)$, where $E^T=\{(v,u) \in V * V :(u,v) \in E \ \}$ .Thus ,$G^T$ is $G$ with all its edges reversed . Describe ... algorithms for computing $G^T$ from $G$,for both the adjacency list and adjacency matrix representations of $G$. Analyze the running times of your algorithms.
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Apr 7
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akash.dinkar12
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Cormen Edition 3 Exercise 22.1 Question 2 (Page No. 592)
Give an adjacencylist representation for a complete binary tree on $7$ vertices. Give an equivalent adjacencymatrix representation. Assume that vertices are numbered from $1\ to\ 7$ as in a binary heap.
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Apr 7
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Cormen Edition 3 Exercise 22.1 Question 1 (Page No. 592)
Given an adjacencylist representation of a directed graph, how long does it take to compute the outdegree of every vertex ? How long does it take to compute the indegrees ?
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Apr 7
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Algorithms
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akash.dinkar12
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14
GATE  GATECS2003
Let G be an arbitrary graph with n nodes and k components. If a vertex is removed from G, the number of components in the resultant graph must necessarily lie between (A) k and n (B) k – 1 and k + 1 (C) k – 1 and n – 1 (D) k + 1 and n – k The answer is C . how is it k1?? I mean if we have only one component .?Please explain
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Mar 31
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Algorithms
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Doraemon
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CLRS CHAPTER 25
FOR THE EXTENDEDSHORTESTPATH if we want to find the distance between 1>4 and the 1>5 +5>4 gives the shortest path and if 1>5 gets its shortest path as 1>2>5 and 5>4 gets its shortest path as 5>3>4 then how will we get it?? as one of the operands is always from the initial array.
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Mar 30
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Programming
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Doraemon
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CLRS Chapter22 Figure22.6
What are the strongly connected components in the above figure ?
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Mar 30
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Algorithms
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Doraemon
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17
Made Easy Workbook
Suppose that you are running Dijkstra’s algorithm on the edgeweighted diagram below, starting from vertex A. The Table gives ‘Distance’ and ‘Parent’ entry of each vertex after vertex E has been deleted from the priority queue and relaxed. Vertex Distance Parent A 0 Null B 2 A C 13 F D 23 A E 11 F F 7 B G 36 F H 19 E What could be the possible value of expression x+y?
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Mar 10
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noob_coder
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18
BFS traversal path
What will be the path from AH if BFS is used in the following graph?
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Feb 2
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Algorithms
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made easy
can anyone explain how dijkstras will behave as BFS whwn a graph is unweighted?
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Jan 26
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20
MadeEasy Test Series 2019: Algorithms  Graph Algorithms
Which is the best data structure to implement topological sort on directed graph? Heap Stack queue Array
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Jan 5
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MadeEasy Test Series: Algorithms  Graph Algorithms
Which of the following statement is true? For a directed graph, the absence of back edges in a DFS tree can have cycle. If all edge in a graph have distinct weight then the shortest path between two vertices is unique. The depth of any DFS ( ... tree rooted at a vertex is atleast as depth of any BFS tree rooted at the same vertex. Both (a) and (c)
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Jan 4
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Zeal Test Series 2019: Algorithms  Graph Algorithms
If the DFS finishing time f[u] < f[v] for two vertices u and v in a directed graph G, and u and v are in the same DFS tree in the DFS forest, then u is an ancestor of v in the depth first tree ? True /False can anyone explain it ?
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Jan 2
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Prince Sindhiya
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23
BFS and DFS  types of edges
Can someone please explain what are the types of edges possible in BFS and DFS for DIRECTED as well as UNDIRECTED graphs? Individual meaning of BACK, FRONT and CROSS edges is clear, but can’t decide which are present and which are not for Traversals. an example would be of great help or any specific reference on this.
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Dec 30, 2018
in
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Markzuck
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24
MadeEasy Test Series: Algorithms  Graph Algorithms
According To Me Answer Should Be 6… Anyone Please Try Once!!! Given Is 5 With No Explaination !!!! like 111212 then for second square 4 times 13 so c(4,2) any two of then lead to me @ answer @6.
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Dec 26, 2018
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25
BFS problem
True or False , with reason. For a directed graph, the absence of back edges with respect to a BFS tree implies that the graph is acyclic? Answer is False Explanation: FALSE. It is true that the absence of back edges with respect to a DFS tree ... a cycle using such cross edges (which decrease the level) and using forward edges (which increase the level) Can someone explain it ?
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Dec 25, 2018
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Sandy Sharma
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Which of the following condition is sufficient to detect cycle in a directed graph?
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Dec 12, 2018
in
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which DFS algorithm to follow?
there are multiple algorithm of DFS available and i cant figure out which one to follow for solving question asking for the nodes which aren't pushed into the stack or the nodes which are pushed more than once, Tried to figure out from ... , https://gateoverflow.in/98484/dfsusingstack https://gateoverflow.in/161225/dfsnumberofnodesnotpushedintothestack
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Dec 9, 2018
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28
Depth First Search: Finding if The graph is connected
Better Explanation??
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Dec 8, 2018
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Graph Algorithms
Dijktra Algo selects shortest path having maximum number of shortest edges, for non adjacent nodes. Is it true? Please justify..
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Nov 25, 2018
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Shamim Ahmed
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EdgeClassification In DIrected Graph using BFS
In BFS of a directed graph, we don't have forward edges.Only tree edge,cross edge or back edge. Below is a sample graph I have taken and classified edge types. Please verify guys whether it's correct. The ... in the selected answer here. https://stackoverflow.com/questions/29631211/edgeclassificationduringbreadthfirstsearchonadirectedgraph
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Nov 22, 2018
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Ayush Upadhyaya
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