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EJC
2007
15 years 6 months ago
Perfect packings with complete graphs minus an edge
Let K− r denote the graph obtained from Kr by deleting one edge. We show that for every integer r ≥ 4 there exists an integer n0 = n0(r) such that every graph G whose order n ...
Oliver Cooley, Daniela Kühn, Deryk Osthus
MOC
1998
85views more  MOC 1998»
15 years 5 months ago
Remarks on the Schoof-Elkies-Atkin algorithm
Abstract. Schoof’s algorithm computes the number m of points on an elliptic curve E defined over a finite field Fq. Schoof determines m modulo small primes using the character...
L. Dewaghe
AISC
1998
Springer
15 years 10 months ago
Real Parametrization of Algebraic Curves
There are various algorithms known for deciding the parametrizability (rationality) of a plane algebraic curve, and if the curve is rational, actually computing a parametrization....
J. Rafael Sendra, Franz Winkler
EJC
2008
15 years 6 months ago
Enumeration of almost polynomial rational functions with given critical values
1 Rational functions and minimal factorizations of permutations Let f : C C be a rational function of degree n in one complex variable. A critical point of f is a point z C such...
Dmitri Panov, Dimitri Zvonkine
EJC
2008
15 years 6 months ago
Coloring squares of planar graphs with girth six
Wang and Lih conjectured that for every g 5, there exists a number M(g) such that the square of a planar graph G of girth at least g and maximum degree M(g) is (+1)-colorable. ...
Zdenek Dvorak, Daniel Král, Pavel Nejedl&ya...