Parts of these lecture notes are based on L. Lov´asz – J. Pelik´an – K. Vesztergombi: Kombinatorika (Tank¨onyvkiad´o, Budapest, 1972); Chapter 14 is based on a section in L. Lov´asz – M.D. Plummer: Matching theory (Elsevier, Amsterdam, 1979)
Computational aspects of geometry of numbers have been revolutionized by the Lenstra–Lenstra–Lov´asz lattice reduction algorithm (LLL), which has led to breakthroughs in fields as diverse as computer algebra, cryptology, and algorithmic number theor