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Selected Papers of Alan Hoffman: With Commentary

Charles A. Micchelli, editor
World Scientific
Publication Date: 
Number of Pages: 
[Reviewed by
Fernando Q. Gouvêa
, on

Alan Hoffman is probably not as well known as either Knuth or Dantzig, but Selected Papers of Alan Hoffman with Commentary is still worth noting. Hoffman's work deals, among other things, with linear programming, combinatorial optimization, and graph spectra. The papers are not re-set, but rather copied directly from the original publication, which makes this book physically less attractive than the previous two, but specialists in the area will want to have this one too.

Fernando Q. Gouvêa is Professor of Mathematics at Colby College in Waterville, ME. He is fanatic about number theory, the history of mathematics, Christian theology, poetry, science fiction, comic books, politics, classics, and football (the real thing, not the American version).

  • The Variation of the Spectrum of a Normal Matrix (with H W Wielandt)
  • Integral Boundary Points of Convex Polyhedra (with J Kruskal)
  • On Moore Graphs with Diameters 2 and 3 (with R R Singleton)
  • Cycling in the Simplex Algorithm
  • On Approximate Solutions of Systems of Linear Inequalities
  • On the Polynomial of a Graph
  • Some Recent Applications of the Theory of Linear Inequalities of Extremal Combinatorial Analysis
  • On Simple Linear Programming Problems
  • Self-Orthogonal Latin Squares (with R K Brayton & D Coppersmith)
  • On the Nonsingularity of Complex Matrices (with P Camion)
  • A Generalization of Max Flow-Min Cut
  • A Characterization of Comparability Graphs and of Interval Graphs (with P C Gilmore)
  • and 33 other papers