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A field of combinatorics relating to the study of vertices and the edges that connect them

0 votes
1 answer
103 views

Unique Partition of a Graph

Given an undirected graph, is it possible to find a criteria that leads to a unique partition of the nodes? The graph is not weighted.
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2 votes
1 answer
156 views

k-splittable flow problem

The maximum k-splittable s-t flow problem(MkSF) that aims to find a maximum k-splittable flow between a given source and sink node is NP-hard. We do not require the paths to be disjoint, not even diff …
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1 vote

k-splittable flow problem

The answer of the the first part is yes; restricting the paths to be disjoint makes still the problem NP-hard. Based on the Menger theorem, the number of disjoint paths between two given nodes is the …
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