New results on path-decompositions and their down-links
Abstract
In (arXiv:1004.4127) the concept of down-link from a (Kv, G)-design B to a (Kn, 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
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