BIB-VERSION:: CS-TR-v2.0 ID:: STAN//CS-TR-72-268 ENTRY:: October 16, 1995 ORGANIZATION:: Stanford University, Department of Computer Science TITLE:: Degrees and matchings. TYPE:: Technical Report AUTHOR:: Chvatal, Vaclav DATE:: March 1972 PAGES:: 17 ABSTRACT:: Let n, b, d be positive integers. D. Hanson proposed to evaluate f(n,b,d), the largest possible number of edges in a graph with n vertices having no vertex of degree greater than d and no set of more than b independent edges. Using the alternating path method, he found partial results in this direction. We complete Hanson's work; our proof technique has a linear programming flavor and uses Berge's matching formula. NOTES:: [Adminitrivia V1/Prg/19951016] END:: STAN//CS-TR-72-268