Question
Download Solution PDFA flow graph F with entry node (1) and exit node (11) is shown below:
How many nodes are there in the longest independent path?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept
A linearly independent path is any path that introduces at least one new edge that is not included in any other linearly independent path.
Data
From the graph shown above, following are possible independent paths.
Path 1: 1-11
Path 2: 1-2-3-4-5-10-1-11
Path 3: 1-(2,3)-6-8-9-10-1-11
Path 4: 1-(2,3)-6-7-9-10-1-11
Each of the above path introduces a new edge. And Path 3 and Path 4 are longest independent paths with 8 nodes.
Note that, a path like 1-(2,3)-4-5-10-1-2-3-6-8-9-10-1-11 is not an independent path because it includes already specified edges and doesn’t exclusively add new edges.Last updated on Jul 7, 2025
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