Koko Kalambay Kayibi
- Published in print:
- 2007
- Published Online:
- September 2007
- ISBN:
- 9780198571278
- eISBN:
- 9780191718885
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198571278.003.0011
- Subject:
- Mathematics, Probability / Statistics
This chapter provides direct combinatorial proof of an expansion of the Tutte polynomial by independent sets of the matroid. Another expansion of the Tutte polynomial is presented in terms of ...
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This chapter provides direct combinatorial proof of an expansion of the Tutte polynomial by independent sets of the matroid. Another expansion of the Tutte polynomial is presented in terms of spanning sets. In the process, it is shown that there is a partition of the set of independent sets of a matroid, such that if the independent set I and the basis B are contained in the same part of the partition, the external activity of I is equal to the external activity of B.Less
This chapter provides direct combinatorial proof of an expansion of the Tutte polynomial by independent sets of the matroid. Another expansion of the Tutte polynomial is presented in terms of spanning sets. In the process, it is shown that there is a partition of the set of independent sets of a matroid, such that if the independent set I and the basis B are contained in the same part of the partition, the external activity of I is equal to the external activity of B.
