BIB-VERSION:: CS-TR-v2.0 ID:: STAN//CS-TR-75-489 ENTRY:: August 23, 1995 ORGANIZATION:: Stanford University, Department of Computer Science TITLE:: Regular partitions of graphs. TYPE:: Technical Report AUTHOR:: Szemeredi, Endre DATE:: April 1975 PAGES:: 9 ABSTRACT:: A crucial lemma in recent work of the author (showing that k-term arithmetic progression-free sets of integers must have density zero) stated (approximately) that any large bipartite graph can be decomposed into relatively few "nearly regular" bipartite subgraphs. In this note we generalize this result to arbitrary graphs, at the same time strengthening and simplifying the original bipartite result. NOTES:: [Adminitrivia V1/Prg/19950823] END:: STAN//CS-TR-75-489