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Biclique coverings, rectifier networks and the cost of ε-removal [article]

Szabolcs Iván, Ádám Dániel Lelkes, Judit Nagy-György, Balázs Szörényi, György Turán
2014 arXiv   pre-print
We relate two complexity notions of bipartite graphs: the minimal weight biclique covering number Cov(G) and the minimal rectifier network size Rect(G) of a bipartite graph G.  ...  We also formulate a version of previous bounds for the weighted set cover problem and discuss its connections to giving upper bounds for the possible blow-up.  ...  We showed that the cost of ε-removal from NFAs is worst-case Ω(n 3/2−ǫ ), improving the previous bound Ω(n log 2 n).  ... 
arXiv:1406.0017v1 fatcat:ywaxx47yrbf4lgzkmr6fbb26yi

Biclique Coverings, Rectifier Networks and the Cost of ε-Removal [chapter]

Szabolcs Iván, Ádám D. Lelkes, Judit Nagy-György, Balázs Szörényi, György Turán
2014 Lecture Notes in Computer Science  
We relate two complexity notions of bipartite graphs: the minimal weight biclique covering number Cov(G) and the minimal rectifier network size Rect(G) of a bipartite graph G.  ...  We also formulate a version of previous bounds for the weighted set cover problem and discuss its connections to giving upper bounds for the possible blow-up. ⋆  ...  We showed that the cost of ε-removal from NFAs is worst-case Ω(n 3/2−ǫ ), improving the previous bound Ω(n log 2 n).  ... 
doi:10.1007/978-3-319-09704-6_16 fatcat:ryftga3625ffxdc3mlpw7yw3su

OASIcs, Volume 85, ATMOS 2020, Complete Volume [article]

Dennis Huisman, Christos D. Zaroliagis
2020
As many passenger and freight trains as possible should be able to use the infrastructure, of course in compliance with the necessary safety requirements.  ...  Therefore, it is increasingly important to optimize the exploitation of the infrastructure capacity.  ...  Then the second step computes the fact that A and P (5) cover each other but not A and P (6) . Thus, P (3) and P (4) are removed too. Since P (5) and B cover each other, P (6) is removed.  ... 
doi:10.4230/oasics.atmos.2020 fatcat:cfergu24w5f73ajydwnxvac3p4