Games on line graphs and sand piles

Eric Goles, Marcos A. Kiwi

Research output: Contribution to journalArticlepeer-review

55 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)321-349
Number of pages29
JournalTheoretical Computer Science
Volume115
Issue number2
DOIs
StatePublished - 19 Jul 1993
Externally publishedYes

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