# Mathematician:William Thomas Tutte

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## Mathematician

English codebreaker and mathematician working on the foundations of graph theory and matroid theory.

Made a fundamental breakthrough in cryptanalysis of the Lorenz cipher, which contributed significantly to the defeat of Germany in the Second World War.

## Nationality

English

## History

- Born: 14 May 1917 in Newmarket, Suffolk, England
- Died: 2 May 2002 in Waterloo, Canada

## Theorems and Definitions

- BEST Theorem (with Nicolaas Govert de Bruijn, Tatyana Pavlovna van Aardenne-Ehrenfest and Cedric Austen Bardell Smith)
- Hanani-Tutte Theorem (with Haim Hanani)
- Peripheral Cycle
- Tutte 12-Cage
- Tutte Embedding
- Tutte Graph
- Tutte Homotopy Theorem
- Tutte Matrix
- Tutte Polynomial
- Tutte Theorem
- Tutte-Berge Formula (with Claude Jacques Berge)
- Tutte-Coxeter Graph (with Harold Scott MacDonald Coxeter)
- Tutte-Grothendieck Invariant (with Alexander Grothendieck)
- Tutte's 1+2 Break In
- Tutte's 1-Factor Theorem
- Tutte's Fragment
- Tutte's Linking Theorem
- Tutte's Planarity Criterion
- Tutte's Statistical Method
- Tutte's Triangle Lemma
- Tutte's Unimodular Representation Theorem
- Tutte's Wheel Theorem

## Publications

- 1948:
*An Algebraic Theory of Graphs*