Chip-firing games on mutating graphs

被引:13
|
作者
Eriksson, K
机构
[1] Department of Mathematics, Royal Institute of Technology
关键词
chip firing; eulerian graph; period length; game length;
D O I
10.1137/S0895480192240287
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We investigate a generalization of a chip-firing game on a graph of Bjorner, Lovasz, and Shor [European J. Combin., 1 (1992), pp. 305-328]. In our version, the graph mutates during play. We show that some known results about the game length and period length of the earlier game hold for the mutating version as well, and some completely new bounds are also obtained. In a small detour, we treat an orientability concept for eulerian graphs.
引用
收藏
页码:118 / 128
页数:11
相关论文
共 26 条
  • [1] Chip-firing games, potential theory on graphs, and spanning trees
    Baker, Matthew
    Shokrieh, Farbod
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2013, 120 (01) : 164 - 182
  • [2] Chip-firing and rotor-routing on directed graphs
    Holroyd, Alexander E.
    Levine, Lionel
    Meszaros, Karola
    Peres, Yuval
    Propp, James
    Wilson, David B.
    IN AND OUT OF EQUILIBRIUM 2, 2008, 60 : 331 - +
  • [3] A constant bound for the periods of parallel chip-firing games with many chips
    Paul Myer Kominers
    Scott Duke Kominers
    Archiv der Mathematik, 2010, 95 : 9 - 13
  • [4] A constant bound for the periods of parallel chip-firing games with many chips
    Kominers, Paul Myer
    Kominers, Scott Duke
    ARCHIV DER MATHEMATIK, 2010, 95 (01) : 9 - 13
  • [5] A greedy chip-firing game
    Li, Rupert
    Propp, James
    RANDOM STRUCTURES & ALGORITHMS, 2023, 62 (03) : 645 - 666
  • [6] Confluence in labeled chip-firing
    Klivans, Caroline
    Liscio, Patrick
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2022, 186
  • [7] Sorting via chip-firing
    Hopkins, Sam
    McConville, Thomas
    Propp, James
    ELECTRONIC JOURNAL OF COMBINATORICS, 2017, 24 (03)
  • [8] Chip-Firing and the Critical Group of a Graph
    N.L. Biggs
    Journal of Algebraic Combinatorics, 1999, 9 : 25 - 45
  • [9] Chip-firing groups of iterated cones
    Brown, Morgan V.
    Morrow, Jackson S.
    Zureick-Brown, David
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 556 : 46 - 54
  • [10] Chip-firing and the critical group of a graph
    Biggs, NL
    JOURNAL OF ALGEBRAIC COMBINATORICS, 1999, 9 (01) : 25 - 45