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CORR
2010
Springer
69views Education» more  CORR 2010»
13 years 5 months ago
Computation of Darboux polynomials and rational first integrals with bounded degree in polynomial time
In this paper we study planar polynomial differential systems of this form: dX dt = X = A(X, Y ), dY dt = Y = B(X, Y ), where A, B Z[X, Y ] and deg A d, deg B d, A H and B H. ...
Guillaume Chèze
DCC
2007
IEEE
14 years 4 months ago
Planar polynomials for commutative semifields with specified nuclei
We consider the implications of the equivalence of commutative semifields of odd order and planar Dembowski-Ostrom polynomials. This equivalence was outlined recently by Coulter an...
Robert S. Coulter, Marie Henderson, Pamela Kosick
FFA
2010
84views more  FFA 2010»
13 years 3 months ago
Dembowski-Ostrom polynomials from Dickson polynomials
Motivated by several recent results, we determine precisely when Fk(Xd, a) − Fk(0, a) is a Dembowski-Ostrom polynomial, where Fk(X, a) is a Dickson polynomial of the first or se...
Robert S. Coulter, Rex W. Matthews
COCOON
1999
Springer
13 years 9 months ago
Area Minimization for Grid Visibility Representation of Hierarchically Planar Graphs
Abstract. Hierarchical graphs are an important class of graphs for modelling many real applications in software and information visualization. In this paper, we shall investigate t...
Xuemin Lin, Peter Eades
JCT
2008
59views more  JCT 2008»
13 years 5 months ago
The Jones polynomial and graphs on surfaces
The Jones polynomial of an alternating link is a certain specialization of the Tutte polynomial of the (planar) checkerboard graph associated to an alternating projection of the li...
Oliver T. Dasbach, David Futer, Efstratia Kalfagia...