Depth-First Search (DFS) Algorithm for Topological Sorting

One could use the DFS Algorithm to identify the safe order for tasks execution (i.e., for tasks that depend on previous ones), also known as topological sort. Please, select the option that shows which of the following directed graphs above could have its topological order extracted through DFS.

I)

II)

III)

Consider the usage of only the DFS algorithm, without additional algorithms to detect strongly connected components and deal with cyclic graphs.

A. I.

B. I, and III.

C.  I, II, and III.

D. III.

E. None of the above.


Original idea by: Felipe Crispim da Rocha Salvagnini

Comentários

Postar um comentário

Postagens mais visitadas deste blog

Robustness of Scale-free Networks - Science Collaboration

Suppose that the COVID-19 virus suffers a strange mutation, and now it is extremely mortal only to scientific researchers. Taking into consideration the Science Collaboration network, it will break apart into many isolated sub-graphs of researchers, after the death of how many scientists? Additional data about the network: Nodes ($N$): 23,133 $<k>$ (Average degree distribution of the network): 8.08 $<k^{2}>$ (Variance of the degree distribution): 178.2 Hint: Round the number of dead scientists up. A.  19,136 B. 22,035 C.  7,937 D.  15,498 E. None of the above. Original idea by: Felipe Crispim da Rocha Salvagnini
Leia mais

Graph Theory Question - Internet Backbone Topology

Imagem
Living in a highly digitally connected world nowadays requires the availability of an internet connection. Furthermore, it must be stable and provide low latency. It holds more true for critical applications, like systems that interface with stock markets. The availability of internet backbones plays a crucial role in the achievement of the former statements.  The figure below shows an example of an internet backbone topology represented as a graph connecting some Brazilian cities. Please, select the answer that better describe Sao Paulo (SP) node: a) São Paulo is the node with the highest degree (10); The Clustering Coefficient of São Paulo is 16/7. b) Sao Paulo is not the node with the highest degree; The Clustering Coefficient of São Paulo is 16/45. c) Sao Paulo is the node with the highest degree (10); The Clustering Coefficient of São Paulo is 16/45. d) Sao Paulo is the node with the highest degree (7); The Clustering Coefficient of São Paulo is 16/28. e) S...
Leia mais