Nonseparating Planar Chains in 4-Connected Graphs

نویسندگان

  • Sean Curran
  • Orlando Lee
  • Xingxing Yu
چکیده

In this paper, we describe an O(|V (G)|) algorithm for finding a “non-separating planar chain” in a 4-connected graph G, which will be used to decompose an arbitrary 4-connected graph into “planar chains”. This work was motivated by the study of a multi-tree approach to reliability in distributed networks, as well as the study of non-separating induced paths in highly connected graphs. Supported by CNPq (Proc: 200611/00-3). Partially supported by NSF grant DMS 9970527

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عنوان ژورنال:
  • SIAM J. Discrete Math.

دوره 19  شماره 

صفحات  -

تاریخ انتشار 2005