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1) Define topological Sort. (2 marks)
2) What is overall time of Kruskal's Algorithm if graph is sparse. (2 marks)
3) how Dijkstra's Algorithm works? (2 marks)
4) If we implement the bag data structure by using a stack, then which type of traversal it will be? (2 marks)
5) Let the adjacency list representation of an undirected graph is given below. Explain what general property of the list indicates that the graph has an isolated vertex. (3 marks)
a -> b -> c -> e
b -> a -> d
c -> a -> d -> e -> f
d -> b -> c -> f
e -> a -> c -> f
f -> c -> d -> e
g
6) Explain the following two basic cases according to Floyd-Warshall Algorithm. (3 marks)
1. Dont go through vertex k at all
2. Dont go through vertex k.
7) Given a diagraph G=(V,E), consider any DFS forest og G and consider any edge (u,v) in E. Prove that if this edge is a tree, forward or cross edge, then f [u] > f [v] and if this edge is a back edge, then f [u] <= f [v]. (3 marks) 8) According to Dijkstra's Algorithm, write the pseudo code to relax a vertex. (5 marks)
9) Graph was given, by applying Kruskal's algorithm, make the MST. (5 marks)
10) by applying DFS, find the strong components the graph (graph was given) 5 marks
(11) Adjacency matrix was given. We have make the adjacency list from the matrix. (5 marks)
Best of luck
NOT MY PAPER
CS502 FUNDAMENTALS OF ALGORITHEMS
5 MCQ`s from past papers:P
How Gready algorithem works?
Wright brief intro about dynamic programing
Draw th knapsack tree for the given graph
What is BFS and how it works?
2 questions digraph se thy ku6 bhool gye:P
Diffrance between DSF and BSF.
Prime algorithem
Write the paseudo code of prime algorithem
Dijkstra`s algorithem & how it works?
Aik claim aya tha proof krna tha usy
PG#147 se Create_Set(u), Find_set(u) , Union(u,v)
Best of luck for your exams
my ppr was OK nt so tough nt so easy...
objctve easy tha bt subjctve was a bit dffclt...
my 2days ppr...
How the Dijkstra’s algorithm works?
hw short path problem is converted in single source problem?
Apply Kruskal's algorithm on a given graph? graph was given
1 matrix given thi usmain hmain kha va tha k btao loops bn ri ain k nai? if yes 2 mention kro khn khn ain? n ye b btain k ksae pta chl ra k loops bnri ae...
Adjacency matrix was given. We have make the adjacency list from the matrix. ye 5 mrks ka tha...
Adjacency matrix was given. We have make the adjacency list from the matrix. ye 5 mrks ka tha...
how many bits/bytes in this "aabaaccaadb" in ASCII ye mcq kafi rpt hua tha
write psuedo code of somthing wo yad nai kis cheez ka tha :P
"how Dijkstra's Algorithm works? ye sbkoooooo ara ae zaroor kr k jain sb"
is se zada yad nai sorry btw BST OV LCK EVRY1! :)
past papers say mcqs aur subjective aa rahay hain ya nahi?
Given a diagraph G=(V,E), consider any DFS forest og G and consider any edge (u,v) in E. Prove that if this edge is a tree, forward or cross edge, then f [u] > f [v] and if this edge is a back edge, then f [u] <= f [v]. es question ka answer bta dy koi plz
For the non-tree forward and back edges the proof follows directly from the parenthesis lemma.For example, for a forward edge (u, v), v is a descendent of u and so v’s start-finish interval is contained within u’s implying that v has an earlier finish time. For a cross edge (u, v) we know that the two time intervals are disjoint. When we were processing u, v was not white (otherwise (u, v) would be a tree edge), implying that v was started before u. Because the intervals are
disjoint, v must have also finished before u.
Smart Kuri thnaks for sharing
Solved current papers,
kai q k ans nai mily mjhy. sorry
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