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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 …
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  • 71
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 …
PK96's user avatar
  • 71
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 …
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  • 71