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- Thomas H. Brylawski
- Discrete Mathematics
- 1973

In this paper we study the lattice L, of partitions of an integer n ordered by dominance. We show L, to be isomorphic t 3 an infimum srlbsemilattice under the component ordering of certain concaveâ€¦ (More)

We present a general result that, using the theory of symmetric functions, produces several new classes of symmetric unimodal polynomials. The result has applications to enumerative combinatoricsâ€¦ (More)

The category of pregeometries with basepoint is defined and explored. In this category two important operations are extensively characterized: the series connection S(G, H), and the parallelâ€¦ (More)

A systematic approach is developed for enumerating congruence classes of 2-cell imbeddings of connected graphs on closed orientable 2-manifolds. The method is applied to the wheel graphs and to theâ€¦ (More)

We define a two-variable polynomial fa(t, z) for a greedoid G which generalizes the standard one-variable greedoid polynomial A<j(f). Several greedoid invariants (including the number of feasibleâ€¦ (More)

We show how the Tutte polynomial of a plane graph can be evaluated as the "homfly" polynomial of an associated oriented link. Then we discuss some consequences for the partition function of the Pottsâ€¦ (More)

- Thomas H. Brylawski, GÃ¼nter M. Ziegler
- Discrete & Computational Geometry
- 1993

Among the many ways to view oriented matroids as geometrical objects, we consider two that have special properties: â€¢ Blandâ€™s analysis of complementary subspaces in IRn [2] has the special featureâ€¦ (More)

If A is a primitive matrix, then there is a smallest power of A (its fully indecomposable exponent) that is fully indecomposable, and a smallest power of A (its strict fully indecomposable exponent)â€¦ (More)

- Thomas H. Brylawski
- Discrete Mathematics
- 1973

A basic system k a nonempty collection of finite incomparable subsets of a set such that for any two subsets or bases in the collection, any flement of one basis can be replaced by some element ofâ€¦ (More)

- Lee R. Nackman, Richard Nackman, Lee R. Nackman, Steve Pizer, Thomas H. Brylawski, Henry Fuchs
- 2011

Blum's transform, variously known as the symmetric axis transform, medial axis transform, or skeleton, and his associated two-dimensional shape description methodology are generalized toâ€¦ (More)