Mathematical Sciences: Growth Rates of Minor-closed Classes of Matroids
{'Code': '03040300', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ann K. Boyle', 'PO_EMAI': None, 'PO_PHON': None}
This project focusses on two problems in matroid theory.                   The first is to show that the size functions of minor-closed                    classes of matroids are either infinite, exponential, or                        polynomial.  The second is to show that the size function of a                  minor-closed class C is bounded by a linear function if and only                if there is a finite upper bound on the critical exponent of                    matroids in C.                                                                       Matroid theory is a natural generalization of graph theory                 and projective geometry, and thus ocupies a central place in                    combinatorial theory.
{'FirstName': 'Joseph', 'LastName': 'Kung', 'PI_MID_INIT': 'P', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Joseph P Kung', 'EmailAddress': 'kung@unt.edu', 'NSF_ID': '000103838', 'StartDate': '06/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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{'Code': '126400', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
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