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Recent progress in combinatorics; proceedings./ Edited by W. T. Tutte.

Contributor(s): Publication details: New York: Academic Press, 1969.Description: xiv, 347 p.: illus., 24 cmISBN:
  • 0127051503
Subject(s): DDC classification:
  • 511.6 R295
Contents:
A survey of coding theory / E.R. Berlekamp -- The Greek alphabet of "graph theory" / Frank Harary -- Covering theorems in groups : (or, How to win at football pools) / R.G. Stanton -- Some new results for the covering problem / J.G. Kalbfleisch and P.H. Weiland -- The rank of a family of sets and some applications to graph theory / Claude Berge -- Enumeration of tree-shaped molecules / N.G. de Bruijn -- A combinatorial approach to the bell polynomials and their generalizations / Roberto Frucht -- The number of subspaces of a vector space / Jay Goldman and Gian-Carlo Rota -- Graphs, complexes, and polytopes / Branko Grünbaum -- On the structure of n-connected graphs / R. Halin -- On unions and intersections of cones / A.J. Hoffman -- Optimal distance configurations / Leroy M. Kelly -- Combinatorial designs as models of universal algebras / N.S. Mendelsohn -- Well-balanced orientations of finite graphs and unobtrusive odd-vertex-pairings / C. St. J.A. Nash-Williams -- The partition calculus / R. Rado -- Teaching graph theory to a computer / Ronald C. Read -- Finite graphs : (investigations and generalizations concerning the construction of finite graphs having given chromatic number and no triangles) / Horst Sachs -- Strongly regular graphs / J.J. Seidel -- Projective geometry and the 4-color problem / W.T. Tutte -- Remark on a combinatorial theorem of Erd»os and Rado / H.L. Abbott and B. Gardner -- The four leading coefficients of the chromatic polynomials Qn(u) and Rn(x) and the Birkhoff-Lewis conjecture / Ruth Bari -- Simple proofs for the Ramanujan congruences : p(5m + 4) [is congruent to] 0 (mod 5) and p(7m + 5) [is congruent to] 0 (mod 7)/ J.M. Gandhi -- Connected extremal edge graphs having symmetric automorphism group / Allan Gewirtz and Louis V. Quintas -- Bounds on the chromatic and achromatic numbers of complementary graphs / Ram Prakash Gupta -- A problem of Zarankiewicz / Richard K. Guy and Stefan Znám -- Infinite graphs and matroids / D.A. Higgs -- A survey of thickness / Arthur M. Hobbs -- Line-symmetric tournaments / Michel Jean -- On the Ramsey number N(4,4;3) / J.G. Kalbfleisch -- Sylvester matroids / U.S.R. Murty -- Cyclic coloration of plane graphs / Oystein Ore and Michael D. Plummer -- Pseudosymmetry, circuit-symmetry, and path-symmetry of a digraph / J.M.S. Simões Pereira -- On the boxicity and cubicity of a graph / Fred S. Roberts -- On the number of mutually disjoint triples in Steiner systems and related maximal packing and minimal covering systems / J. Schönheim -- On a problem of Erd»os / David P. Sumner -- Some classes of hypoconnected vertex-transitive graphs / Mark E. Watkins -- Maximum families of disjoint directed cut sets / D.H. Younger -- Abstracts. The no-three-in-line problem / Richard K. Guy and Patrick A. Kelly -- A packing theory / David A. Klarner -- Brooks' 2 x 1 simple perfect rectangle / W.T. Tutte -- Unsolved problems .
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"A NATO Advanced Study Institute."

Includes bibliographies.

A survey of coding theory / E.R. Berlekamp -- The Greek alphabet of "graph theory" / Frank Harary -- Covering theorems in groups : (or, How to win at football pools) / R.G. Stanton -- Some new results for the covering problem / J.G. Kalbfleisch and P.H. Weiland -- The rank of a family of sets and some applications to graph theory / Claude Berge -- Enumeration of tree-shaped molecules / N.G. de Bruijn -- A combinatorial approach to the bell polynomials and their generalizations / Roberto Frucht -- The number of subspaces of a vector space / Jay Goldman and Gian-Carlo Rota -- Graphs, complexes, and polytopes / Branko Grünbaum -- On the structure of n-connected graphs / R. Halin -- On unions and intersections of cones / A.J. Hoffman -- Optimal distance configurations / Leroy M. Kelly -- Combinatorial designs as models of universal algebras / N.S. Mendelsohn -- Well-balanced orientations of finite graphs and unobtrusive odd-vertex-pairings / C. St. J.A. Nash-Williams -- The partition calculus / R. Rado -- Teaching graph theory to a computer / Ronald C. Read -- Finite graphs : (investigations and generalizations concerning the construction of finite graphs having given chromatic number and no triangles) / Horst Sachs -- Strongly regular graphs / J.J. Seidel -- Projective geometry and the 4-color problem / W.T. Tutte -- Remark on a combinatorial theorem of Erd»os and Rado / H.L. Abbott and B. Gardner -- The four leading coefficients of the chromatic polynomials Qn(u) and Rn(x) and the Birkhoff-Lewis conjecture / Ruth Bari -- Simple proofs for the Ramanujan congruences : p(5m + 4) [is congruent to] 0 (mod 5) and p(7m + 5) [is congruent to] 0 (mod 7)/ J.M. Gandhi -- Connected extremal edge graphs having symmetric automorphism group / Allan Gewirtz and Louis V. Quintas -- Bounds on the chromatic and achromatic numbers of complementary graphs / Ram Prakash Gupta -- A problem of Zarankiewicz / Richard K. Guy and Stefan Znám -- Infinite graphs and matroids / D.A. Higgs -- A survey of thickness / Arthur M. Hobbs -- Line-symmetric tournaments / Michel Jean -- On the Ramsey number N(4,4;3) / J.G. Kalbfleisch -- Sylvester matroids / U.S.R. Murty -- Cyclic coloration of plane graphs / Oystein Ore and Michael D. Plummer -- Pseudosymmetry, circuit-symmetry, and path-symmetry of a digraph / J.M.S. Simões Pereira -- On the boxicity and cubicity of a graph / Fred S. Roberts -- On the number of mutually disjoint triples in Steiner systems and related maximal packing and minimal covering systems / J. Schönheim -- On a problem of Erd»os / David P. Sumner -- Some classes of hypoconnected vertex-transitive graphs / Mark E. Watkins -- Maximum families of disjoint directed cut sets / D.H. Younger -- Abstracts. The no-three-in-line problem / Richard K. Guy and Patrick A. Kelly -- A packing theory / David A. Klarner -- Brooks' 2 x 1 simple perfect rectangle / W.T. Tutte -- Unsolved problems .

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