We can think of a tree as being a special kind of directed graph. To model a tree as a graph, we make the nodes of the tree become nodes in the graph and draw an edge from a parent node to each of its children. The drawing on the left shows a tree as a graph; the other three directed graphs do not correspond to a tree. Suppose we want to check if a given directed graph as shown in Figure 3 corresponds to a tree. A tree Not a tree Not a tree Not a tree b Figure 3: 4 tree and not a traa structure

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We can think of a tree as being a special kind of directed graph. To model a tree as a
graph, we make the nodes of the tree become nodes in the graph and draw an edge from a
parent node to each of its children. The drawing on the left shows a tree as a graph; the
other three directed graphs do not correspond to a tree. Suppose we want to check if a
given directed graph as shown in Figure 3 corresponds to a tree.
A tree
Not a tree
Not a tree
Not a tree
b. Figure 3: A tree and not a tree structure.
Transcribed Image Text:We can think of a tree as being a special kind of directed graph. To model a tree as a graph, we make the nodes of the tree become nodes in the graph and draw an edge from a parent node to each of its children. The drawing on the left shows a tree as a graph; the other three directed graphs do not correspond to a tree. Suppose we want to check if a given directed graph as shown in Figure 3 corresponds to a tree. A tree Not a tree Not a tree Not a tree b. Figure 3: A tree and not a tree structure.
i.
What properties should we check that the graph has for it to be a tree?
ii.
Write down a C++ function or more such that, if a directed graph has fulfilled
some conditions in the function, it must be a tree. You can refer to standard
properties of graphs in your answer without explaining them.
Transcribed Image Text:i. What properties should we check that the graph has for it to be a tree? ii. Write down a C++ function or more such that, if a directed graph has fulfilled some conditions in the function, it must be a tree. You can refer to standard properties of graphs in your answer without explaining them.
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