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词条 Gabriel Andrew Dirac
释义

  1. Education

  2. Career

  3. Family

  4. See also

  5. Notes

  6. References

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| name = Gabriel Andrew Dirac
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| birth_date = {{birth date |1925|03|13}}
| birth_place = Budapest
| death_date = {{death date and age |1984|07|20|1925|03|13}}
| death_place = Arlesheim
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| fields = Mathematics
| workplaces = University of Aarhus, Trinity College Dublin
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| education = Ph.D.
| alma_mater = University of London
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| doctoral_advisor = Richard Rado
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| known_for = Graph theory
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}}Gabriel Andrew Dirac (13 March 1925 – 20 July 1984) was a mathematician who mainly worked in graph theory. He stated a sufficient condition for a graph to contain a Hamiltonian circuit. In 1951 he conjectured that n points in the plane, not all collinear, must span at least [n/2] two-point lines, where [x] is the largest integer not exceeding x. This conjecture was proven true when n is sufficiently large by Green and Tao in 2012.[1]

Education

Dirac received his Ph.D. in 1952 from the University of London under Richard Rado.[2]

Career

Dirac was professor of mathematics in the University of Aarhus in Denmark, and became Erasmus Smith's Professor of Mathematics at Trinity College Dublin from 1964 to 1966.

Family

He was the stepson of Paul Dirac, who adopted him after marrying his mother Manci, and the nephew of Eugene Wigner. His biological father is Richard Balazs, and he had an older sister, and two younger half-sisters.

See also

  • Dirac's theorem on Hamiltonian cycles
  • Dirac's theorem on chordal graphs
  • Dirac's theorem on cycles in {{mvar|k}}-connected graphs

Notes

1. ^{{cite arxiv|last=Green|first=Ben|last2=Tao|first2=Terence|date=2012-08-23|title=On sets defining few ordinary lines|eprint=1208.4714|class=math.CO}}
2. ^{{MathGenealogy|id=42235}}

References

  • L. Døvling Andersen, I. Tafteberg Jakobsen, C. Thomassen, B. Toft, and P. Vestergaard (eds.), Graph Theory in Memory of G.A. Dirac, North-Holland, 1989. {{ISBN|0-444-87129-2}}.
{{Authority control}}{{DEFAULTSORT:Dirac, Gabriel Andrew}}

9 : 20th-century Hungarian mathematicians|Graph theorists|Alumni of the University of London|1925 births|1984 deaths|Hungarian Jews|Paul Dirac|Aarhus University faculty|Academics of Trinity College Dublin

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