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Questions about graphs, discrete structures of nodes which are connected by edges, including trees and graphs with weighted edges.
0
votes
1
answer
423
views
Is there an edge whose removal will extend the shortest path? - graph problem
Given an undirected and unweighted graph $G = (V, E)$ and two of its vertices $s$ and $t$. My task is to find an algorithm that checks if there exists an edge belonging to $E$ such that its removal wi …
4
votes
2
answers
1k
views
Spanning tree - minimum difference between smallest and largest weight
I am given an undirected, weighted graph $G$, on its base I have to create a spanning tree with such a property that the difference between the largest edge weight and the smallest edge weight is the …
0
votes
1
answer
293
views
Finding a Hamiltonian Cycle in a directed graph - graph problem
$N$ towns are given, which we can get to by passing through the northern and southern gates. If you enter a town through a gate, you have to use another gate to leave the town. The merchant would like …