Norman Biggs

Norman BiggsNorman BiggsNorman Biggs
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    • Research Papers to 1988
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  • More
    • Home
    • Personal
      • About Me
      • CV
      • Odds and Blogs
    • Mathematics
      • Research Papers
      • Research Papers to 1988
      • Books
      • Book Reviews
      • Biographies
      • Miscellaneous
    • History
      • Books
      • Refereed Papers
      • More
    • Weights and Scales
      • Books
      • Articles
      • Projects
    • Contact Me

Norman Biggs

Norman BiggsNorman BiggsNorman Biggs
  • Home
  • Personal
    • About Me
    • CV
    • Odds and Blogs
  • Mathematics
    • Research Papers
    • Research Papers to 1988
    • Books
    • Book Reviews
    • Biographies
    • Miscellaneous
  • History
    • Books
    • Refereed Papers
    • More
  • Weights and Scales
    • Books
    • Articles
    • Projects
  • Contact Me

Research Papers in Mathematics - up to 1988

The following sections contain chronological lists with links to view and download.  


This new version is in progress, and will eventually contain all my mathematical papers. 


A full list of papers with bibliographic details appears first.

List of Research Papers (pdf)Download

1969

  • M1969a  Rectangulations

M1969a (pdf)Download

1971


  • M1971a  Intersection matrices for linear graphs
  • M1971b  Spanning trees of dual graphs
  • M1971c  Automorphisms of imbedded graphs
  • M1971d  On trivalent graphs
  • M1971e Classification of complete maps on orientable surfaces

M1971a (pdf)Download
M1971b (pdf)Download
M1971c (pdf)Download
M1971d (pdf)Download

1972


 

  • M1972a Recursive families of graphs
  • M1972b Cayley maps and symmetrical maps
  • M1972c On the symplectic representation of map automorphisms
  • M1972d  An edge-colouring problem
  • M1972e Pictures

M1972a (pdf)Download
M1972b (pdf)Download
M1972c (pdf)Download

1973

  • M1973a  Three remarkable graphs
  • M1973b  Expansions of the chromatic polynomial
  • M1973c   Perfect codes in graphs

M1973a (pdf)Download
M1973b (pdf)Download
M1973c (pdf)Download

1974 

  • M1974a  On the symmetry of line-graphs
  • M1974b  Perfect codes and distance-transitive graphs


Files coming soon.

1975

  • M1975a Designs, factors and codes in graphs
  • M1975b A thereom on plane partitions

M1975a (pdf)Download

1976

  • M1976a   Approximations for chromatic polynomials
  • M1976b   Automorphic graphs and the Krein condition
  • M1976c   On the duality of interaction models

M1976a (pdf)Download
M1976b (pdf)Download
M1976c (pdf)Download

1977

  • M1977a  Colouring square lattice graphs

M1977a (pdf)Download

1978

  • M1978a Cluster expansions in graph theory and physics 

Files coming soon.

1979

  • M1979a  On the algebra of graph types
  • M1979b  Some odd graph theory
  • M1979c  Resonance and reconstruction

Files coming soon.

1980

  • M1980a Girth, valency and excess
  • M1980b Graphs with even girth and small excess
  • M1980c  A trivalent graph with 58 vertices and girth 9

M1980a (pdf)Download
M1980b (pdf)Download
M1980c (pdf)Download

1981

  • M1981a Aspects of symmetry in graphs
  • M1981b Covering biplanes
  • M1981c  Covering graphs and symmetric designs

Files coming soon.

1982

  • M1982a Excess in vertex-transitive graphs
  • M1982b Distance-regular graphs with diameter 3
  • M1982c Constructing 5-arc-transitive cubic graphs 
  • M1982d A new 5-arc-transive cubic graph

M1982a (pdf)Download
M1982c (pdf)Download

1983

  • M1983a The sextet construction for cubic graphs


M1983a (pdf)Download

1984

  • M1984a  Presentations for cubic graphs
  • M1984b  Homological coverings of graphs
  • M1984c  Rotatations and graphs of large girth 

M1984b (pdf)Download
M1984c (pdf)Download

1985

  • M1985a  Infinite coverings of cages

M1985a (pdf)Download

1986

  • M1986a Cubic disrance-regular graphs


M1986a (pdf)Download

1988

  • M1988a  The spectral radius of infinite graphs
  • M1988b  Girth and residual finiteness
  • M1988c  Graphs with large girth

M1988a (pdf)Download
M1988b (pdf)Download

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