
In (arXiv:1004.4127) the concept of down-link from a (K_v, G)-design B to a (K_n, G')-design B' has been introduced. In the present paper the spectrum problems for G'= P4 are studied. General results on the existence of path-decompositions and embeddings between path- decompositions playing a fundamental role for the construction of down-links are also presented
14 Pages; 11 figures
05C51, 05B30, 05C38, FOS: Mathematics, Path decomposition; Graph Design; Down-link, Mathematics - Combinatorics, Combinatorics (math.CO)
05C51, 05B30, 05C38, FOS: Mathematics, Path decomposition; Graph Design; Down-link, Mathematics - Combinatorics, Combinatorics (math.CO)
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