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DM
1999
63views more  DM 1999»
14 years 10 months 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
67
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DM
1999
75views more  DM 1999»
14 years 10 months 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
70
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DM
1999
69views more  DM 1999»
14 years 10 months ago
Maximal sets of mutually orthogonal Latin squares
Maximal sets of s mutually orthogonal Latin squares of order v are constructed for in
David A. Drake, G. H. John van Rees, W. D. Wallis
90
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DM
2008
123views more  DM 2008»
14 years 10 months ago
Graphic sequences with a realization containing a generalized friendship graph
: Gould, Jacobson and Lehel (Combinatorics, Graph Theory and Algorithms, Vol.I (1999) 451
Jian-Hua Yin, Gang Chen, John R. Schmitt
105
Voted
DM
1999
133views more  DM 1999»
14 years 10 months ago
The answer to Woodall's musquash problem
We prove that there are no n-agonal musquashes for n even with n = 6. This resolves a problem raised in Woodall's 1971 paper `Thrackles and Deadlock'. c 1999 Elsevier Sc...
Grant Cairns, Deborah M. King