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Tutte Polynomials of Perfect Matroid Designs

Published online by Cambridge University Press:  03 November 2000

EUNICE GOGO MPHAKO
EUNICE GOGO MPHAKO
Affiliation:
School of Mathematical and Computing Sciences, Victoria University, Wellington, New Zealand (e-mail: [email protected])
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Abstract

This paper gives a general expression for the Tutte polynomial of perfect matroid designs, that is, for matroids in which all ats of the same rank are equicardinal. In particular, explicit expressions are given for the Tutte polynomial of projective and affine geometries over a finite field.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 9 , Issue 4 , July 2000 , pp. 363 - 367
Copyright
2000 Cambridge University Press

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