Flow decomposition with subpath constraints

L Williams, AI Tomescu… - IEEE/ACM Transactions on …, 2022 - ieeexplore.ieee.org
… in the form of subpath constraints. These are … flow decomposition; thus, we are looking for
flow decompositions with the property that every constraint is a subpath of some decomposition

[PDF][PDF] Feasibility of flow decomposition with subpath constraints in linear time

D Gibney, V Sharma, S Aluru - 22nd International Workshop on …, 2022 - par.nsf.gov
… These constraints allow one to incorporate longer, known … subpath constraint set is a
subpath in the flow decomposition (… a flow decomposition under a set of subpath constraints is …

[PDF][PDF] Safe walks for flow decompositions with subpath constraints, in general graphs

E Ingervo - 2024 - helda.helsinki.fi
… However, subpath constraints have never been considered … subwalk constraints, which are
subpath constraints that can … flow walk in any flow decomposition with subwalk constraints, …

On the complexity of minimum path cover with subpath constraints for multi-assembly

R Rizzi, AI Tomescu, V Mäkinen - BMC bioinformatics, 2014 - Springer
subpaths, or pairs of subpaths, of the graph have to be entirely covered by some path in the
MPC. We show that in the case of long reads (subpaths), … ; any decomposition of this flow into …

The bounded pathwidth of control-flow graphs

GK Conrado, AK Goharshady, CK Lam - Proceedings of the ACM on …, 2023 - dl.acm.org
… Thus, its main limitation is that it does not hold for inter-procedural control-… segment (subpath)
of our path decomposition. Finally, our construction starts with a path decomposition of …

Excluded minors, network decomposition, and multicommodity flow

P Klein, SA Plotkin, S Rao - Proceedings of the twenty-fifth annual ACM …, 1993 - dl.acm.org
In this paper we show that, given a graph and parameters 6 and r, we can find either a K,,.
minor or an edge-cut of size O (mT/6) whose removal yields components of weak diameter O (…

Flow decomposition algorithms for multiassembly problems

LG Williams - 2022 - scholarworks.montana.edu
… yields solutions that approach the accuracy of a minimum decomposition without subpath
constraints; thus, our results show that heuristic FDSC is a practical substitute for minimum FD …

A safety framework for flow decomposition problems via integer linear programming

FHC Dias, M Cáceres, L Williams, B Mumey… - …, 2023 - academic.oup.com
… a set of paths (subpath constraints) that must appear in at … a subpath of some P i in the
decomposition. To represent this behavior in the ILP formulation, we add the following constraints

A decomposition approach for balancing large-scale acyclic data flow graphs

PR Chang, CSG Lee - IEEE transactions on computers, 1990 - ieeexplore.ieee.org
constraint equations may grow exponentially, making the optimization problem more intractable.
The decomposition … node uk is selected to decompose the path +/(uk) into two subpaths, …

Efficient minimum flow decomposition via integer linear programming

FHC Dias, L Williams, B Mumey… - Journal of Computational …, 2022 - liebertpub.com
… inside state-of-the-art RNA assemblers can be easily modeled on top of our basic ILP (ie,
subpath constraints, inexact, and imperfect flows). Further flexibility also comes from the fact …