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arxiv: 1106.1095 · v1 · pith:TE45PPMJnew · submitted 2011-06-06 · 🧮 math.CO

New results on path-decompositions and their down-links

classification 🧮 math.CO
keywords designdown-linkspath-decompositionsresultsarxivbeenconceptconstruction
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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

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