% IMPORTANT: The following is UTF-8 encoded.  This means that in the presence
% of non-ASCII characters, it will not work with BibTeX 0.99 or older.
% Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or
% “biber”.

@ARTICLE{Kaiser:893031,
      author       = {Kaiser, Franz and Witthaut, Dirk},
      title        = {{T}opological theory of resilience and failure spreading in
                      flow networks},
      journal      = {Physical review research},
      volume       = {3},
      number       = {2},
      issn         = {2643-1564},
      address      = {College Park, MD},
      publisher    = {APS},
      reportid     = {FZJ-2021-02511},
      pages        = {023161},
      year         = {2021},
      abstract     = {Link failures in supply networks can have catastrophic
                      consequences that can lead to a complete collapse of the
                      network. Strategies to prevent failure spreading are thus
                      heavily sought after. Here, we make use of a spanning tree
                      formulation of link failures in linear flow networks to
                      analyze topological structures that prevent failure
                      spreading. In particular, we exploit a result obtained for
                      resistor networks based on the matrix tree theorem to
                      analyze failure spreading after link failures in power
                      grids. Using a spanning tree formulation of link failures,
                      we analyze three strategies based on the network topology
                      that allow us to reduce the impact of single link failures.
                      All our strategies either do not reduce the grid's ability
                      to transport flow or do in fact improve it - in contrast to
                      traditional containment strategies based on lowering network
                      connectivity. Our results also explain why certain
                      connectivity features completely suppress any failure
                      spreading as reported in recent publications.},
      cin          = {IEK-STE},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IEK-STE-20101013},
      pnm          = {111 - Energiesystemtransformation (POF4-111) / CoNDyNet 2 -
                      Kollektive Nichtlineare Dynamik Komplexer Stromnetze
                      (BMBF-03EK3055B) / VH-NG-1025 - Helmholtz Young
                      Investigators Group "Efficiency, Emergence and Economics of
                      future supply networks" $(VH-NG-1025_20112014)$ / ES2050 -
                      Energie System 2050 (ES2050)},
      pid          = {G:(DE-HGF)POF4-111 / G:(DE-JUEL1)BMBF-03EK3055B /
                      $G:(HGF)VH-NG-1025_20112014$ / G:(DE-HGF)ES2050},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000657190400001},
      doi          = {10.1103/PhysRevResearch.3.023161},
      url          = {https://juser.fz-juelich.de/record/893031},
}