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84
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DM
2000
111views more  DM 2000»
15 years 18 days ago
Representations of graphs modulo n
A graph is said to be representable modulo n if its vertices can be labelled with distinct integers between 0 and n - 1 inclusive such that two vertices are adjacent if and only i...
Anthony B. Evans, Garth Isaak, Darren A. Narayan
77
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DM
2002
85views more  DM 2002»
15 years 18 days ago
Equimodular curves
This paper is a continuation of Equimodular curves, LSE-CDAM-2000-17. First, it is shown by algebraic means that the equimodular curves for a reducible matrix are closed curves. T...
Norman Biggs
91
Voted
DM
2002
114views more  DM 2002»
15 years 18 days ago
C4-saturated bipartite graphs
Let H be a graph. A graph G is said to be H-free if it contains no subgraph isomorphic to H. A graph G is said to be an H-saturated subgraph of a graph K if G is an H-free subgrap...
Darryn E. Bryant, Hung-Lin Fu
105
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DM
2002
155views more  DM 2002»
15 years 18 days ago
Balanced nested designs and balanced arrays
Balanced nested designs are closely related to other combinatorial structures such as balanced arrays and balanced n-ary designs. In particular, the existence of symmetric balance...
Ryoh Fuji-Hara, Sanpei Kageyama, Shinya Kuriki, Yi...
DM
2002
82views more  DM 2002»
15 years 18 days ago
Hilbert functions of ladder determinantal varieties
We outline the computation of an explicit formula for the Hilbert function of the ladder determinantal varieties defined by the vanishing of all minors of a fixed size of a rectang...
Sudhir R. Ghorpade