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Hybrid triple systems and cubic feedback sets
Journal article

Hybrid triple systems and cubic feedback sets

Abstract

Ac-hybrid triple system of orderv is a decomposition of the completev-vertex digraph intoc cyclic tournaments of order 3 and$$\frac{{v(v - 1)}}{3} - c$$ transitive tournaments of order 3. Hybrid triple systems generalize directed triple systems (c = 0) and Mendelsohn triple systems (c = v(v − 1)/3); omitting directions yields an underlying twofold triple system. The spectrum ofv andc for which ac-hybrid triple system of orderv exists is …

Authors

Colbourn CJ; Pulleyblank WR; Rosa A

Journal

Graphs and Combinatorics, Vol. 5, No. 1, pp. 15–28

Publisher

Springer Nature

Publication Date

December 1989

DOI

10.1007/bf01788655

ISSN

0911-0119