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New research article by Ildikó Schlotter and co-authors in Discrete Applied Mathematics

 

Shortest odd paths in undirected graphs
with conservative weight functions

 

Alpár Jüttner, Csaba Király, Lydia Mirabel Mendoza-Cadena,
Gyula Pap, Ildikó Schlotter, Yutaro Yamaguchi

 

Discrete Applied Mathematics

Volume 357, 15 November 2024, Pages 34-50
 
 
Discrete Applied Mathematics

Highlights

  • The problem with conservative weights and negative edges forming a tree is in P.
  • FPT algorithm with parameter the number of negative edges (conservativeness assumed).
  • FPT algorithm with parameter treewidth.

 

 

 

Keywords: Shortest odd path, Parity constrained odd path, Fixed-parameter algorithms, Treewidth, Monadic second-order logic

 

 

 

 

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