A new class of one-factorizations of the complete multigraph $\lambda K_{2^{h+1}+2}$ is constructed for every $\lambda =2^{k}$, with $1\leq k\leq h$. Furthermore, some connections with blocking sets in $\mathrm{PG}(2,2^{h})$ are established.
One-factorizations of complete multigraphs arising from maximal $(k;n)$-arcs in $\mathrm{PG}(2,2^{h})$
SONNINO, Angelo
2001-01-01
Abstract
A new class of one-factorizations of the complete multigraph $\lambda K_{2^{h+1}+2}$ is constructed for every $\lambda =2^{k}$, with $1\leq k\leq h$. Furthermore, some connections with blocking sets in $\mathrm{PG}(2,2^{h})$ are established.File in questo prodotto:
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