Vol. 118, No. 2, 1985

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Epidemiography

Aviezri Siegmund Fraenkel and Jaroslav Nešetřil

Vol. 118 (1985), No. 2, 369–381
Abstract

Epidemiography designates a class of games played on directed graphs. At stage k of the game, the move made on a graph G is replicated onto k isomorphic copies of G. The player first unable to move is the loser; his opponent the winner. We give conditions on G under which a game terminates, and determine the winner for a number of cases.

Mathematical Subject Classification 2000
Primary: 90D05, 90D05
Secondary: 05C20
Milestones
Received: 31 May 1984
Published: 1 June 1985
Authors
Aviezri Siegmund Fraenkel
Jaroslav Nešetřil