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Perform BFS traversal on a given graph

#1
09-14-2021, 01:11 AM
You grab the starting node first in your graph. I see you mark it visited without delay. Then you toss it into the queue right off. You process it by checking every linked spot next. But the queue holds the order tight now.
You pull the next one out soon after. I watch how neighbors get added fresh each time. Perhaps the graph spreads wide with each step you take. And you avoid repeats by the marks already set. Or maybe disconnected parts need a fresh start later on.
You keep going level after level without jumping ahead. I find this way uncovers paths evenly across the whole thing. Then the queue empties only when all reachable spots finish. But you track total nodes touched for the full count. Also edges between them matter in the timing of it all.
You build an adjacency setup beforehand to speed checks. I know lists work better than grids for sparse spots. Perhaps your memory use stays low with just the queue size. And you hit every connection once at most. Or the order comes out like a wave spreading outward.
You handle cycles easy by those visit flags alone. I recall graphs with loops trip up if you skip that. Then you might restart from unvisited nodes for complete coverage. But the main run stays focused on one source. Also time grows with nodes plus links combined.
You see space peaks at the widest level size. I think that beats deep stacks in some cases. Perhaps real nets use this for quick finds. And you test small graphs first to see the flow. Or bigger ones show the linear growth clear.
You explain the steps to me by walking a sample. I picture nodes linked in a chain with side branches. Then first node goes in queue and gets marked. But its friends join behind while you pull the front. Also their own links fill in the next wave.
You notice how far nodes sit from start this way. I like that it gives shortest hops in plain graphs. Perhaps mixed directions complicate nothing here. And you repeat until nothing remains in line. Or fresh components get their own runs separately.
You weigh the choice against deeper searches often. I find breadth suits distance queries best. Then edges get scanned fully once each. But nodes queue up only as needed. Also practice helps you spot patterns quick.
You adjust for big data by efficient structures. I see lists cut wasted looks on empty spots. Perhaps your code runs smoother with simple arrays too. And the total effort stays predictable always. Or you share this trick with others around.
You build on basics to cover all angles. I recall adding weights changes nothing basic here. Then unweighted stays the core strength. But you extend it for paths by recording parents. Also full traversal needs care on every link.
You finish the main part when queue clears out. I watch the order list grow step by step. Perhaps restarts catch the rest in pieces. And the whole thing stays simple yet solid. Or graphs change and you rerun fast.
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ProfRon
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Perform BFS traversal on a given graph - by ProfRon - 09-14-2021, 01:11 AM

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Perform BFS traversal on a given graph

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