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EJC
2007
14 years 11 months ago
The structure of the 3-separations of 3-connected matroids II
The authors showed in an earlier paper that there is a tree that displays, up to a natural equivalence, all non-trivial 3-separations of a 3-connected matroid. The purpose of this ...
James G. Oxley, Charles Semple, Geoff Whittle
EJC
2008
14 years 11 months ago
A simple proof for open cups and caps
Let X be a set of points in general position in the plane. General position means that no three points lie on a line and no two points have the same x-coordinate. Y X is a cup, r...
Jakub Cerný
EJC
2008
14 years 11 months ago
On tension-continuous mappings
Tension-continuous (shortly TT) mappings are mappings between the edge sets of graphs. They generalize graph homomorphisms. From another perspective, tension-continuous mappings a...
Jaroslav Nesetril, Robert Sámal
EJC
2008
14 years 11 months ago
Eriksson's numbers game and finite Coxeter groups
The numbers game is a one-player game played on a finite simple graph with certain "amplitudes" assigned to its edges and with an initial assignment of real numbers to i...
Robert G. Donnelly
EJC
2008
14 years 11 months ago
On the adaptable chromatic number of graphs
The adaptable chromatic number of a graph G is the smallest integer k such that for any edge k-colouring of G there exists a vertex kcolouring of G in which the same colour never ...
Pavol Hell, Xuding Zhu