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cs.DS2025
Forcing a unique minimum spanning tree and a unique shortest path
Tatsuya Gima, Andreas Grigorjew, Yasuaki Kobayashi +7
A forcing set in a combinatorial problem is a set of elements such that there is a unique solution that contains all the elements in . An anti-forcing set is the symmetric c…
cs.DS2025
Maximum Coverage -Antichains and Chains: A Greedy Approach
Manuel Cáceres, Andreas Grigorjew, Wanchote Po Jiamjitrak +1
Given an acyclic digraph and a positive integer , the problem of Maximum Coverage -Antichains (resp. Chains) denoted as MA- (resp. MC-) asks to find set…
cs.DS2024
Width Parameters for Minimum Flow Decomposition
Andreas Grigorjew, Wanchote Jiamjitrak, Brendan Mumey +1
Minimum flow decomposition (MFD) is the strongly NP-hard problem of finding a smallest set of integer weighted - paths in an - DAG whose weighted sum is equal to a…