BIB-VERSION:: CS-TR-v2.0 ID:: STAN//CS-TR-79-706 ENTRY:: June 19, 1995 ORGANIZATION:: Stanford University, Department of Computer Science TITLE:: Graph 2-isomorphism is NP-complete TYPE:: Technical Report AUTHOR:: Yao, F. Francis DATE:: January 1979 PAGES:: 13 ABSTRACT:: Two graphs G and G' are said to be k-isomorphic if their edge sets can be partitioned into E(G) = $E_1 \cup E_2 \cup ... \cup E_k$ and E(G') = ${E'}_1 \cup {E'}_2 \cup ... \cup {E'}_k$ such that as graphs, $E_i$ amd ${E'}_i$ are isomorphic for $1 \leq i \leq k$. In this note we show that it is NP-complete to decide whether two graphs are 2-isomorphic. NOTES:: [Adminitrivia V1/Prg/19950619] END:: STAN//CS-TR-79-706