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On the basis graph of a matroid of arbitrary cardinality
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Hua Mao
Published/Copyright:
March 19, 2010
Abstract
This paper first generalizes the notion of basis graph of a finite matroid to that of a matroid of arbitrary cardinality. Then we follow by dealing with the relationship of a matroid of arbitrary cardinality between its connectivity and its basis graph.
Received: 2009-03-20
Revised: 2009-07-03
Published Online: 2010-03-19
Published in Print: 2010-June
© de Gruyter 2010
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Articles in the same Issue
- An analog of Morgan's theorem for the Kontorovich–Lebedev transform
- Positivity of the Jacobi–Cherednik intertwining operator and its dual
- Absolute continuity of the representing measures of the Dunkl intertwining operator and of its dual and applications
- Cut-primitive directed graphs versus clan-primitive directed graphs
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