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Discussiones Mathematicae Graph Theory 25(3) (2005)
311-324
DOI: https://doi.org/10.7151/dmgt.1284
TREES WITH -LABELINGS AND DECOMPOSITIONS OF COMPLETE GRAPHS INTO NON-SYMMETRIC ISOMORPHIC SPANNING TREES
Michael Kubesa
Department of Applied Mathematics
Technical University Ostrava
17 listopadu, Ostrava-Poruba 708 33, Czech Republic
e-mail: michael.kubesa.cz
Abstract
We examine constructions of non-symmetric trees with a flexible q-labeling or an α-like labeling, which allow factorization of K2n into spanning trees, arising from the trees with α-labelings.Keywords: graph decomposition and factorization, graph labeling, α-labeling, flexible q-labeling, α-like labeling.
2000 Mathematics Subject Classification: 05C70, 05C78.
References
[1] | P. Eldergill, Decompositions of the complete graph with an even number of vertices (M.Sc. thesis, McMaster University, Hamilton, 1997). |
[2] | D. Froncek, Cyclic decompositions of complete graphs into spanning trees, Discuss. Math. Graph Theory 24 (2004) 345-352, doi: 10.7151/dmgt.1235. |
[3] | D. Froncek, Bi-cyclic decompositions of complete graphs into spanning trees, submitted for publication. |
[4] | D. Froncek and M. Kubesa, Factorizations of complete graphs into spanning trees, Congress. Numer. 154 (2002) 125-134. |
[5] | A. Rosa, Cyclic decompositions of complete graphs (Ph.D. thesis, Slovak Academy of Science, Bratislava, 1965). |
[6] | A. Rosa, On certain valuations of the vertices of a graph, in: Theory of Graphs, Intl. Symp. Rome 1966 (Gordon and Breach, Dunod, Paris, 1967) 349-355. |
[7] | M. Kubesa, Spanning tree factorizations of complete graphs, J. Combin. Math. and Combin. Computing, accepted for publication. |
Received 24 February 2004
Revised 11 October 2004
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