Norman L. Biggs
#23,575
Most Influential Person Now
Mathematician, algebraist
Norman L. Biggs's AcademicInfluence.com Rankings
Norman L. Biggsmathematics Degrees
Mathematics
#1145
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#1928
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Algebra
#97
World Rank
#162
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Measure Theory
#922
World Rank
#1206
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Mathematics
Why Is Norman L. Biggs Influential?
(Suggest an Edit or Addition)According to Wikipedia, Norman Linstead Biggs is a leading British mathematician focusing on discrete mathematics and in particular algebraic combinatorics. Education Biggs was educated at Harrow County Grammar School and then studied mathematics at Selwyn College, Cambridge. In 1962, Biggs gained first-class honours in his third year of the university's undergraduate degree in mathematics.1946–1952: Uxendon Manor Primary School, Kenton, Middlesex1952–1959: Harrow County Grammar School1959–1963: Selwyn College, Cambridge 1960: First Class, Mathematical Tripos Pt. I1962: Wrangler, Mathematical Tripos Pt. II; B.A. 1963: Distinction, Mathematical Tripos Pt. III1988: D.Sc. ; M.A.
Norman L. Biggs's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- THE TRAVELING SALESMAN PROBLEM A Guided Tour of Combinatorial Optimization (1986) (1079)
- Algebraic Graph Theory (1974) (914)
- Graph Theory 1736-1936 (1976) (379)
- Algebraic Graph Theory: COLOURING PROBLEMS (1974) (373)
- Chip-Firing and the Critical Group of a Graph (1999) (306)
- Permutation Groups and Combinatorial Structures (1979) (304)
- Algebraic Potential Theory on Graphs (1997) (255)
- Computational learning theory: an introduction (1992) (230)
- Algebraic Graph Theory: The multiplicative expansion (1974) (178)
- Combinatorics and Graph Theory (2007) (149)
- GEOMETRIC ALGORITHMS AND COMBINATORIAL OPTIMIZATION: (Algorithms and Combinatorics 2) (1990) (136)
- Perfect codes in graphs (1973) (133)
- MATCHING THEORY (Annals of Discrete Mathematics 29) (1988) (124)
- Recursive families of graphs (1972) (124)
- Constructions for Cubic Graphs with Large Girth (1998) (120)
- RANDOM WALKS AND ELECTRICAL NETWORKS (Carus Mathematical Monographs 22) (1987) (89)
- ON THE FOUNDATIONS OF COMBINATORIAL THEORY: COMBINATORIAL GEOMETRIES (1972) (82)
- SOME ODD GRAPH THEORY (1979) (81)
- CUBIC DISTANCE-REGULAR GRAPHS (1986) (70)
- The roots of combinatorics (1979) (66)
- Bounding Sample Size with the Vapnik-Chervonenkis Dimension (1993) (64)
- The sextet construction for cubic graphs (1983) (62)
- Three Remarkable Graphs (1973) (61)
- Computational Learning Theory (1992) (60)
- The CRC handbook of combinatorial designs , edited by Charles J. Colbourn and Jeffrey H. Dinitz. Pp. 784. $89.95. 1996. ISBN 0-8493-8948-8 (CRC). (1997) (54)
- The Spectral Radius of Infinite Graphs (1988) (51)
- On Trivalent Graphs (1971) (48)
- Cayley maps and symmetrical maps (1972) (46)
- Automorphisms of imbedded graphs (1971) (46)
- Note on the girth of Ramanujan graphs (1990) (44)
- Colouring Square Lattice Graphs (1977) (39)
- Potential Theory on Distance-Regular Graphs (1993) (38)
- Approximations for chromatic polynomials (1976) (38)
- The learnability of formal concepts (1990) (37)
- Mathematics for Economics and Finance: Mathematical models in economics (1996) (37)
- Cubic Graphs with Large Girth (1989) (35)
- A Matrix Method for Chromatic Polynomials (2001) (35)
- Automorphic graphs and the Krein condition (1976) (34)
- The Tutte Polynomial as a Growth Function (1999) (33)
- Graphs with even girth and small excess (1980) (32)
- Homological Coverings of Graphs (1984) (29)
- The critical group from a cryptographic perspective (2007) (25)
- Spanning trees of dual graphs (1971) (24)
- Distance-Regular Graphs with Diameter Three (1982) (24)
- A PANORAMA OF PURE MATHEMATICS (1983) (24)
- Mathematics for Economics and Finance: Introduction to optimisation (1996) (23)
- Constructing 5‐Arc‐Transitive Cubic Graphs (1982) (23)
- T = 0 partition functions for Potts antiferromagnets on square lattice strips with (twisted) periodic boundary conditions (1999) (22)
- An Edge-Colouring Problem (1972) (21)
- Codes: An Introduction to Information Communication and Cryptography (2008) (21)
- Discrete mathematics - second edition (2002) (21)
- T. P. Kirkman, Mathematician (1981) (19)
- APPLIED ABSTRACT ALGEBRA (Undergraduate Texts in Mathematics) (1985) (18)
- PLANAR GRAPHS: THEORY AND ALGORITHMS (Annals of Discrete Mathematics 32) (1989) (18)
- Linear equations—I (1996) (17)
- A trivalent graph with 58 vertices and girth 9 (1980) (16)
- Algebraic methods for chromatic polynomials (2004) (16)
- Combinatorics: Perfect codes and distance-transitive graphs (1974) (15)
- Equimodular curves (2002) (14)
- Girth, valency, and excess (1980) (14)
- Algebraic Graph Theory: The tree-number (1974) (14)
- Girth and residual finiteness (1988) (14)
- On the duality of interaction models (1976) (14)
- The growth rate of the harmonious chromatic number (1989) (13)
- Strongly regular graphs with no triangles (2009) (12)
- Undergraduate projects in mathematics (1969) (12)
- Chromatic Polynomials for Twisted Bracelets (2002) (11)
- Chromatic polynomials and representations of the symmetric group (2002) (11)
- Computational Learning Theory for Artificial Neural Networks (1993) (11)
- The history of combinatorics (1996) (10)
- Interaction Models: Contents (1977) (10)
- A new 5-arc-transitive cubic graph (1982) (9)
- ON CLUSTER EXPANSIONS IN GRAPH THEORY AND PHYSICS (1978) (9)
- A Tale Untangled: Measuring the Fineness of Yarn (2004) (9)
- Chromatic and thermodynamic limits (1975) (8)
- Topics in Algebraic Graph Theory, by Lowell W. Beineke and Robin J. Wilson (Academic Consultant: Peter J. Cameron), Encyclopedia of Mathematics and its Applications 102, CUP 2005, 257pp., £ 50.00/$95.00 (2006) (7)
- PAC learning and neural networks (1998) (7)
- Algebraic Graph Theory: Preface (1974) (6)
- DESIGNS, FACTORS AND CODES IN GRAPHS (1975) (6)
- A proof of Serre's theorem (1989) (6)
- Specht modules and chromatic polynomials (2004) (6)
- The Symplectic Representation of Map Automorphisms (1972) (5)
- Finite Groups of Automorphisms: Course Given at the University of Southampton, October-December 1969 (1971) (4)
- Mathematics for Economics and Finance: Methods and Modelling (1996) (4)
- Permutation Groups and Combinatorial Structures: Groups and Graphs (1979) (4)
- Excess in Vertex‐Transitive Graphs (1982) (4)
- Algebraic Graph Theory: Minimal regular graphs with given girth (1974) (3)
- Mathematics of currency and exchange: arithmetic at the end of the thirteenth century (2009) (3)
- John Reynolds of the Mint: A mathematician in the service of king and commonwealth (2019) (3)
- GRAPHS, CODES AND DESIGNS (London Mathematical Lecture Note Series, 43) (1981) (3)
- COMBINATORICS: THEORY AND APPLICATIONS (Ellis Horwood Series in Mathematics and Its Applications) (1987) (3)
- Expansions of the chromatic polynomial (1973) (3)
- Algebraic Graph Theory: The chromatic polynomial (1974) (3)
- Mathematics for Economics and Finance: Preface (1996) (3)
- Applications of Integer Programming Methods to Cages (2015) (3)
- DESIGNS AND THEIR CODES (1993) (3)
- C. S. Peirce and De Morgan on the four-colour conjecture (1977) (3)
- Derek Arthur Waller (1980) (3)
- Thomas Harriot on the coinage of England (2019) (3)
- Families of parameters for SRNT graphs (2009) (3)
- The mean chromatic number of paths and cycles (1993) (3)
- Pac learning and artificial neural networks (1995) (2)
- Rectangulations (1969) (2)
- Combinatorics and connectionism (1994) (2)
- Equimodular curves for reducible matrices (2001) (2)
- Tutte polynomials of bracelets (2010) (2)
- Introduction To Computing With Pascal (1989) (2)
- Some Properties of Strongly Regular Graphs (2011) (2)
- Algebraic Graph Theory: Chromatic polynomials and spanning trees (1974) (1)
- The Second Subconstituent of some Strongly Regular Graphs (2010) (1)
- Algebraic Graph Theory: Vertex-partitions and the spectrum (1974) (1)
- More seventeenth-century networks (2017) (1)
- Theoretical and practical studies of a competitive learning process (1992) (1)
- Interaction models : course given at Royal Holloway College, University of London, October-December 1976 (1977) (1)
- Algebraic Graph Theory: Symmetric graphs (1974) (1)
- DISTANCE-REGULAR GRAPHS: (Ergebnisse Math. (3) 18) (1991) (1)
- Algebraic Graph Theory: The spectrum of a graph (1974) (1)
- Algebraic Graph Theory: Regular graphs and line graphs (1974) (1)
- Infinite coverings of cages (1985) (1)
- Linear Programming from Fibonacci to Farkas (2020) (1)
- Algebraic Graph Theory: The induced subgraph expansion (1974) (0)
- Surveys in Combinatorics 2003: W.T. Tutte, 1917–2002 (2003) (0)
- Quite Right: The Story of Mathematics, Measurement and Money (2016) (0)
- Cryptography in theory and practice (2008) (0)
- Solutions to selected exercises (1996) (0)
- Coding natural languages (2008) (0)
- Algebraic Graph Theory: Feasibility of intersection arrays (1974) (0)
- Combinatorics, Geometry and Probability: Potential Theory on Distance-Regular Graphs (1997) (0)
- Learning Algorithms - theory and practice (1992) (0)
- Thomas Harriot on the coinage of England (2019) (0)
- The problem of reliable communication (2008) (0)
- Chromatic polynomials and toroidal graphs (2017) (0)
- De morgan on map colouring and the separation axiom (1983) (0)
- Confluence of some presentations associated with graphs (1989) (0)
- Second-order differential equations (1996) (0)
- Mathematics for Economics and Finance: Areas and integrals (1996) (0)
- Rotations and Graphs with Large Girth (1984) (0)
- The derivative in economics—II (1996) (0)
- Algebraic Graph Theory: Symmetric graphs of degree three (1974) (0)
- Mathematics for Economics and Finance: Inverse matrices (1996) (0)
- Chromatic polynomials of some families of graphs I: theorems and conjectures (2005) (0)
- Mathematics for Economics and Finance: Matrix algebra (1996) (0)
- Decoding chancery records from the 1240s (2020) (0)
- Norman Biggs – Calculus on Clay? (2016) (0)
- The development of cryptography (2008) (0)
- Mathematics for Economics and Finance: The cobweb model (1996) (0)
- The noisy coding theorems (2008) (0)
- Mathematics for Economics and Finance: The elements of finance (1996) (0)
- Knowles' Patent Yarn Balance (2009) (0)
- Game, set, and graph (2018) (0)
- Coding and its uses (2008) (0)
- Interaction Models: The Perron-Frobenius theorem (1977) (0)
- Algebraic Graph Theory: Vertex-transitive graphs (1974) (0)
- William Morgan, Eighteenth-century actuary, mathematician and radical (2022) (0)
- Interaction Models: Expansions (1977) (0)
- Second-order recurrence equations (1996) (0)
- Vectors, preferences and convexity (1996) (0)
- Mathematics for Economics and Finance: The input–output model (1996) (0)
- Algebraic Graph Theory: The covering-graph construction (1974) (0)
- Mathematics for Economics and Finance: Introduction to calculus (1996) (0)
- Algebraic Graph Theory: Deteminant expansions (1974) (0)
- Cryptography and calculation (2008) (0)
- Algebraic Graph Theory: Cycles and cuts (1974) (0)
- Mathematics for Economics and Finance: Constrained optimisation (1996) (0)
- 経済・金融・経営のための数学入門 (2000) (0)
- Chromatic Roots of the Quartic Mobius Ladders (2008) (0)
- Exchange Rates and the Matrix-Tree Theorem (1994) (0)
- Algebraic Graph Theory: Distance-transitive graphs (1974) (0)
- Note on the Projects (1979) (0)
- First-order differential equations (1996) (0)
- Some Remarks on Normalized Laplacian Spreads of Graphs (2015) (0)
- Mathematics for Economics and Finance: Linear equations−II (1996) (0)
- Spectral graph theory and random walks on graphs (2014) (0)
- Combinatorics: the Rota way (2011) (0)
- Finite Geometries and Designs: Covering graphs and symmetric designs (1981) (0)
- Permutation Groups and Combinatorial Structures: Designs (1979) (0)
- The Historical Background to Gerhard Ringel’s Work (1990) (0)
- Interaction Models: Prospects (1977) (0)
- Techniques of integration (1996) (0)
- The RSA cryptosystem (2008) (0)
- Algebraic Graph Theory: Automorphisms of graphs (1974) (0)
- W. T. Tutte (obituary) (2002) (0)
- INVESTIGATIONS IN ALGEBRAIC THEORY OF COMBINATORIAL OBJECTS (Mathematics and its Applications 84) (1995) (0)
- Mathematics for Economics and Finance: Lagrangeans and the consumer (1996) (0)
- Elliptic curve cryptography (2008) (0)
- Algebraic Graph Theory: Imprimitivity (1974) (0)
- 3253. Three notable points in a triangle (1970) (0)
- Index to the Mathematical Gazette (1977) (0)
- Practical algebra and hydrostatics: the legacy of Thomas Harriot (2023) (0)
- Applications of partial derivatives (1996) (0)
- Mathematical terms and notations (1996) (0)
- Applicable Mathematics in the 18 th Century : an example from the textile trade (0)
- Algebraic Graph Theory: References (1974) (0)
- Dan Bouk, How our days became numbered: risk and the rise of the statistical individual (2019) (0)
- Interaction Models: Distributive identities (1977) (0)
- Thomas Harriot on continuous compounding (2013) (0)
- Some special functions (1996) (0)
- WEIGHT, COINAGE, AND THE NATION 973–1200 (2013) (0)
- Algebraic Graph Theory: Spanning trees and associated structures (1974) (0)
- Permutation Groups and Combinatorial Structures: Introduction (1979) (0)
- A Matrix Method for Flow Polynomials (2008) (0)
- Algebraic coding theory (2008) (0)
- Optimisation in two variables (1996) (0)
- Algebraic Graph Theory: The Tutte polynomial (1974) (0)
- Algebraic Graph Theory: Subgraph expansions (1974) (0)
- Sequences, recurrences, limits (1996) (0)
- Interaction Models: Preview (1977) (0)
- Algebraic Graph Theory: Introduction (1974) (0)
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