A Note on Irreversible 2-Conversion Sets in Subcubic Graphs

  • TAKAOKA Asahi
    Department of Communications and Computer Engineering, Tokyo Institute of Technology
  • UENO Shuichi
    Department of Communications and Computer Engineering, Tokyo Institute of Technology

書誌事項

公開日
2015
資源種別
journal article
DOI
  • 10.1587/transinf.2015edl8021
公開者
一般社団法人 電子情報通信学会

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説明

Irreversible k-conversion set is introduced in connection with the mathematical modeling of the spread of diseases or opinions. We show that the problem to find a minimum irreversible 2-conversion set can be solved in O(n2log 6n) time for graphs with maximum degree at most 3 (subcubic graphs) by reducing it to the graphic matroid parity problem, where n is the number of vertices in a graph. This affirmatively settles an open question posed by Kyncl et al. (2014).

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