GAMES ON LINE GRAPHS AND SAND PILES

被引：50

作者：

GOLES, E

KIWI, MA

机构：

[1] Departamento de Ingenieria Matemática, Facultad de Ciencias Fisicas y Matemáticas, Universidad de Chile, Santiago, 3

来源：

THEORETICAL COMPUTER SCIENCE | 1993年 / 115卷 / 02期

关键词：

Games dynamics - Line graphs - Sand piles;

D O I：

10.1016/0304-3975(93)90122-A

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The dynamics of several games on line graphs is studied. Relations between these games and a one-dimensional version of the sand pile model are established. We also study a generalization of the latter model, which we call the ice pile model. Specifically, we investigate the dynamical behavior of all these games and provide closed formulas for the transient time lengths they require to reach the steady state.

引用

页码：321 / 349

页数：29

共 10 条

[1] DISKS, BALLS, AND WALLS - ANALYSIS OF A COMBINATORIAL GAME [J].

ANDERSON, R ;

LOVASZ, L ;

SHOR, P ;

SPENCER, J ;

TARDOS, E ;

WINOGRAD, S .

AMERICAN MATHEMATICAL MONTHLY, 1989, 96 (06) :481-493

[2] SELF-ORGANIZED CRITICALITY [J].

BAK, P ;

TANG, C ;

WIESENFELD, K .

PHYSICAL REVIEW A, 1988, 38 (01) :364-374

[3] PARALLEL CHIP FIRING GAMES ON GRAPHS [J].

BITAR, J ;

GOLES, E .

THEORETICAL COMPUTER SCIENCE, 1992, 92 (02) :291-300

[4]

Brylawski T., 1973, Discrete Mathematics, V6, P201, DOI 10.1016/0012-365X(73)90094-0

[5] SELF-ORGANIZED CRITICAL STATE OF SANDPILE AUTOMATON MODELS [J].

DHAR, D .

PHYSICAL REVIEW LETTERS, 1990, 64 (14) :1613-1616

[6]

GOLES E, 1991, IN PRESS P 2ND LAT A

[7]

GREENE C, 1986, EUR J COMBIN, V7, P1

[8] SCALING AND UNIVERSALITY IN AVALANCHES [J].

KADANOFF, LP ;

NAGEL, SR ;

WU, L ;

ZHOU, SM .

PHYSICAL REVIEW A, 1989, 39 (12) :6524-6537

[9]

KIWI MA, 1991, THESIS U CHILE CHILE

[10] BALANCING VECTORS IN THE MAX NORM [J].

SPENCER, J .

COMBINATORICA, 1986, 6 (01) :55-65

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