BIB-VERSION:: CS-TR-v2.0 ID:: STAN//CS-TR-78-661 ENTRY:: June 22, 1995 ORGANIZATION:: Stanford University, Department of Computer Science TITLE:: Variations of a pebble game on graphs TYPE:: Technical Report AUTHOR:: Gilbert, John R. AUTHOR:: Tarjan, Robert Endre DATE:: September 1978 PAGES:: 26 ABSTRACT:: We examine two variations of a one-person pebble game played on directed graphs, which has been studied as a model of register allocation. The black-white pebble game of Cook and Sethi is shown to require as many pebbles in the worst case as the normal pebble game, to within a constant factor. For another version of the pebble game, the problem of deciding whether a given number of pebbles is sufficient for a given graph is shown to be complete in polynomial space. NOTES:: [Adminitrivia V1/Prg/19950622] END:: STAN//CS-TR-78-661