Bidirectional Search (graph theory)

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
1 reply · 3K views
Huumah
Messages
27
Reaction score
0
media%2F585%2F585c0a50-3b0a-47a1-af1c-c68212817d4a%2Fphpvh5u4r.png
Attempt at solution
This is an old exam question. Am I correct to say the shortest path goes through M since M is in d(O,M) and d(D,M)?
I don't know how to prove this and answer the question about the cost
 
on Phys.org
With some assumption about the search algorithm (i. e. one that does not miss nodes with smaller costs - check this), you are right.
The fact that there are no shorter paths looks trivial then.