Edge-colorings of cubic graphs with elements of point-transitive Steiner triple systems
نویسندگان
چکیده
A cubic graph G is S-edge-colorable for a Steiner triple system S if its edges can be colored with points of S in such a way that the points assigned to three edges Electronic Notes in Discrete Mathematics 29 (2007) 23–27 1571-0653/$ – see front matter © 2007 Elsevier B.V. All rights reserved. www.elsevier.com/locate/endm doi:10.1016/j.endm.2007.07.005 sharing a vertex form a triple in S. We show that a cubic graph is S-edge-colorable for every non-trivial affine Steiner triple system S unless it contains a well-defined obstacle called a bipartite end. In addition, we show that all cubic graphs are S-edge-colorable for every non-projective non-affine point-transitive Steiner triple system S.
منابع مشابه
Characterization results for Steiner triple systems and their application to edge-colorings of cubic graphs
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عنوان ژورنال:
- Electronic Notes in Discrete Mathematics
دوره 29 شماره
صفحات -
تاریخ انتشار 2007