BIB-VERSION:: CS-TR-v2.0 ID:: STAN//CS-TR-79-763 ENTRY:: June 19, 1995 ORGANIZATION:: Stanford University, Department of Computer Science TITLE:: A symmetric chain decomposition of L(4,n) TYPE:: Technical Report AUTHOR:: West, Douglas B. DATE:: August 1979 PAGES:: 16 ABSTRACT:: L(m,n) is the set of integer m-tuples ($a_1$,...,$a_m$) with $0\leq a_1 \leq ...\leq a_m \leq n$, ordered by $\underline{a} \leq \underline{b}$ when $a_i\leq b_i$ for all i. R. Stanley conjectured that L(m,n) is a symmetric chain order for all (m,n). We verify this by construction for m = 4. NOTES:: [Adminitrivia V1/Prg/19950619] END:: STAN//CS-TR-79-763