BIB-VERSION:: CS-TR-v2.0 ID:: STAN//CS-TR-95-1544 ENTRY:: February 14, 1995 ORGANIZATION:: Stanford University, Department of Computer Science TITLE:: On Diameter Verification and Boolean Matrix Multiplication. TYPE:: Technical Report AUTHOR:: Basch, Julien AUTHOR:: Khanna, Sanjeev AUTHOR:: Motwani, Rajeev DATE:: February 1995 PAGES:: 4 ABSTRACT:: We present a practical algorithm that verifies whether a graph has diameter 2 in time O(n^{3} / log^{2} n}). A slight adaptation of this algorithm yields a boolean matrix multiplication algorithm which runs in the same time bound; thereby allowing us to compute transitive closure and verification of the diameter of a graph for any constant $d$ in O(n^{3} / log^{2} n}) time. NOTES:: [Adminitrivia V1/Prg/19950214] END:: STAN//CS-TR-95-1544