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96
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DM
2002
84views more  DM 2002»
15 years 19 days ago
On the refined lecture hall theorem
Abstract. A lecture hall partition of length n is a sequence (1, 2, . . . , n) of nonnegative integers satisfying 0 1/1
Ae Ja Yee
73
Voted
DM
1999
63views more  DM 1999»
15 years 15 days ago
A class of functions and their application in constructing semi-biplanes and association schemes
We give an alternative proof of the fact that a planar function cannot exist on groups of even order. The argument involved leads us to define a class of functions which we
Robert S. Coulter, Marie Henderson
DM
1999
75views more  DM 1999»
15 years 15 days ago
Real and integer domination in graphs
For an arbitrary subset P of the reals, we define a function f: V P to be a Pdominating function of graph G = (V, E) if the sum of the function values over any
Wayne Goddard, Michael A. Henning
68
Voted
DM
2006
63views more  DM 2006»
15 years 26 days ago
Extended skew partition problem
A skew partition as defined by Chv
Simone Dantas, Celina M. Herrera de Figueiredo, Sy...
DM
2007
100views more  DM 2007»
15 years 24 days ago
Decompositions of signed-graphic matroids
We give a decomposition theorem for signed graphs whose frame matroids are binary and a decomposition theorem for signed graphs whose frame matroids are quaternary.
Daniel C. Slilaty, Hongxun Qin