Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

No polynomial bound for the chip firing game on directed graphs
HTML articles powered by AMS MathViewer

by Kimmo Eriksson PDF
Proc. Amer. Math. Soc. 112 (1991), 1203-1205 Request permission

Abstract:

Tardos has proved a polynomial bound on the length of a convergent chip firing game on an undirected graph. This paper demonstrates a game with exponential growth on a directed graph.
References
    A. Björner, L. Lovász, and P. Shor, Chip-firing games on graphs, preprint, 1987.
  • Gábor Tardos, Polynomial bound for a chip firing game on graphs, SIAM J. Discrete Math. 1 (1988), no. 3, 397–398. MR 955655, DOI 10.1137/0401039
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 90D43, 05C20
  • Retrieve articles in all journals with MSC: 90D43, 05C20
Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 112 (1991), 1203-1205
  • MSC: Primary 90D43; Secondary 05C20
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1065944-3
  • MathSciNet review: 1065944