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Questions about graphs, discrete structures of nodes which are connected by edges, including trees and graphs with weighted edges.

1 vote

Dominator Tree for DAG

In a directed acyclic graph $D = (V,E)$, the dominator tree $T(s) = (V(s),E(s))$ with respect to source vertex $s \in V$ is such that $V(s) \subseteq V$ is the subset of vertices reachable from $s$ an …
matheuscscp's user avatar
2 votes
1 answer
996 views

Improve minimum spanning tree with new edge, with better running time than O(|V|)?

The problem gives a MST $T$ and a series of $Q$ queries, each one with a new edge $e = \{u,v\}$ such that no edge between $u$ and $v$ exists in $T$. For every query, we have to improve $T$ with $e$ an …
matheuscscp's user avatar