Let C4 denote the 4-cycle, and P3 the path with three vertices and two edges. We study vertex partitions of C4-designs where each 4-cycle has three vertices in ...

Let be a C4-design of order n and index λ, on the vertex set V, |V|=n. If V1∪⋯∪V m =V is a partition of the vertex set, such that the intersections of the ...

Nov 1, 2004 · The minimum bound is best possible for every λ. The maximum bound is best possible for λ=2, and hence also for every even λ.

Dec 11, 2012 · Quattrocchi, G. and Tuza, Zsolt (2004) Partition of C4-designs into minimum and maximum number of P3-designs. GRAPHS AND COMBINATORICS ...

Partition of C4-Designs into Minimum and Maximum Number of P3-Designs. 535. Page 6. For i ¼ 1; 2, denote by Pi the P3-design on vertex set Vi embedded into C.

Oct 22, 2024 · Partition of C 4-Designs into Minimum and Maximum Number of P 3-Designs. Article. Nov 2004. Gaetano Quattrocchi ...

Partition of C4-Designs into Minimum and Maximum Number of P3-Designs · Author Picture Gaetano Quattrocchi,; Author Picture Zsolt Tuza. Pages 531–540https://doi ...

The group is 3-homogeneous on the projective line when q is a prime power congruent to 3 modulo 4 and therefore it can be used to construct 3-designs.

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We propose the keyboard design, an intuitive Bayesian design that conducts dose escalation and de-escalation based on whether the strongest key, defined as the ...