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The Characterization Of Graphs With Small Bicycle Spectrum, Bette Catherine Putnam
The Characterization Of Graphs With Small Bicycle Spectrum, Bette Catherine Putnam
Electronic Theses and Dissertations
Matroids designs are defined to be matroids in which the hyperplanes all have the same size. The dual of a matroid design is a matroid with all circuits of the same size, called a dual matroid design. The connected bicircular dual matroid designs have been characterized previously. In addition, these results have been extended to connected bicircular matroids with circuits of two sizes in the case that the associated graph is a subdivision of a 3-connected graph. In this dissertation, we will use a graph theoretic approach to discuss the characterizations of bicircular matroids with circuits of two and three …