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EJC
2008
13 years 9 months ago
2008
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...
EJC
2008
13 years 9 months ago
2008
A partial linear space is a non-empty set of points, provided with a collection of subsets called lines such that any pair of points is contained in at most one line and every lin...
EJC
2008
13 years 9 months ago
2008
We introduce a notion of Dyck paths with coloured ascents. For several ways of colouring, when the set of colours is itself some class of lattice paths, we establish bijections be...
EJC
2008
13 years 9 months ago
2008
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. ...
EJC
2008
13 years 9 months ago
2008
A linear deformation of a Meyer set M in Rd is the image of M under a group homomorphism of the group [M] generated by M into Rd . We provide a necessary and sufficient condition f...