abstract


Packings in complete graphs

Lorenz Halbeisen and Norbert Hungerbühler


We deal with the concept of packings in graphs, which may be regarded as a generalization of the theory of graph design. In particular we construct a vertex- and edge-disjoint packing of Kn (where n/2 mod 4 equals 0 or 1) with edges of different cyclic length. Moreover we consider edge-disjoint packings in complete graphs with uniform linear forests (and the resulting packings have special additional properties). Further we give a relationship between finite geometries and certain packings which suggests interesting questions.

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