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- Randy Shull, James B. Orlin, Alan Shuchat, Marianne L. Gardner
- Discrete Applied Mathematics
- 1989

In this paper we introduce a partial order on the elements of a matroid based on its fundamental circuits. The partial order is used to define and classify fundamental and secondary equivalence classes of a bicircular matroid. These classes form the basic building blocks of bicir-cuLlar generalized networks, i.e., generalized networks containing no unit… (More)

The (r, i)-adjacency graph of a simplicial complex K has been defined as the graph whose nodes are the /-cells of K with adjacency whenever there is incidence with a common s-cell. The (r, j)-adjacency graphs for r > s have been characterized by graph coverings by Dewdney and Harary generalizing the result of Krausz for line-graphs (r = l, s = 0). We now… (More)

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