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DM
1999
63views more  DM 1999»
13 years 7 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
DM
1999
75views more  DM 1999»
13 years 7 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
DM
1999
69views more  DM 1999»
13 years 7 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
DM
2008
123views more  DM 2008»
13 years 7 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
DM
1999
133views more  DM 1999»
13 years 7 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