A hancuffed design $H(v,4,\lambda)$ of order $v$ and index $\lambda$ {\em embeds} an $E_2$-design $E_2(u,4,1)$ on $u$ points, $u\leq v$, if there is a subset of $u$ points on which the handcuffed paths with 3 edges induce the blocks of an $E_2$-design. In this paper we determine, for every pair of positive integers $v$, $\lambda$, the minimum value of $w$ such that there exists an $H(v,4,\lambda)$ which embeds an $E_2(v-w,4,1)
Maximum embedding of an E_2(v-w; 4; 1) into a H(v; 4; λ)
MILICI, Salvatore
2014-01-01
Abstract
A hancuffed design $H(v,4,\lambda)$ of order $v$ and index $\lambda$ {\em embeds} an $E_2$-design $E_2(u,4,1)$ on $u$ points, $u\leq v$, if there is a subset of $u$ points on which the handcuffed paths with 3 edges induce the blocks of an $E_2$-design. In this paper we determine, for every pair of positive integers $v$, $\lambda$, the minimum value of $w$ such that there exists an $H(v,4,\lambda)$ which embeds an $E_2(v-w,4,1)File in questo prodotto:
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