Part 2We want to find a valid ordering for a graph or determine that no such ordering exists. We'll usedepth-first search to do it. Notice that the pseudocode we've given you has only odd linenumbers. We'll adapt DFS to our purpose by adding two even numbered lines. Note: This is DFS ina directed graph. The edge (v, w) is directed from v to w.19 DFSValid (G) {212325272931333537 }unmark all vertices.unmark all edgesfor each vertex v {5153555759}if v is unmarked {DFS (G,V)}}return seq39 DFS (G, v) {41mark v43for each edge (v,w) {45if w is unmarked {4749}mark (v,w) TREEDFS (G,w)} else if (v,w) is unmarked {mark (v,w) NONTREE}Note that seq is a global variable that is initially an empty list. At what even line number should weaddadd v to front of seqso seq, returned by a call to DFSValid (G), is a valid ordering of G (if one exists)?Line= integerAt what even line number should we addif w not in seq then failso DFS fails if the graph has no valid ordering? Note: multiple line numbers are possible locations.Enter the first possible line number.Line=integer?

The question under consideration is "Determining Valid Orderings in a Directed Graph Using…

so seq, returned by a call to DFSValid (G), is a valid ordering of G (if one exists)? Line= integer ? At what even line number should we add if w not in seq then fail so DFS fails if the graph has no valid ordering? Note: multiple line numbers are possible locations. Enter the first possible line number. Line= integer ?

so seq, returned by a call to DFSValid (G), is a valid ordering of G (if one exists)? Line= integer ? At what even line number should we add if w not in seq then fail so DFS fails if the graph has no valid ordering? Note: multiple line numbers are possible locations. Enter the first possible line number. Line= integer ?

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Part 2
We want to find a valid ordering for a graph or determine that no such ordering exists. We'll use
depth-first search to do it. Notice that the pseudocode we've given you has only odd line
numbers. We'll adapt DFS to our purpose by adding two even numbered lines. Note: This is DFS in
a directed graph. The edge (v, w) is directed from v to w.
19 DFSValid (G) {
21
23
25
27
29
31
33
35
37 }
unmark all vertices.
unmark all edges
for each vertex v {
51
53
55
57
59}
if v is unmarked {
DFS (G,V)
}
}
return seq
39 DFS (G, v) {
41
mark v
43
for each edge (v,w) {
45
if w is unmarked {
47
49
}
mark (v,w) TREE
DFS (G,w)
} else if (v,w) is unmarked {
mark (v,w) NONTREE
}
Note that seq is a global variable that is initially an empty list. At what even line number should we
add
add v to front of seq
so seq, returned by a call to DFSValid (G), is a valid ordering of G (if one exists)?
Line= integer
At what even line number should we add
if w not in seq then fail
so DFS fails if the graph has no valid ordering? Note: multiple line numbers are possible locations.
Enter the first possible line number.
Line=
integer
?

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