Complex uniformly resolvable decompositions of K_v

DOI10.26493/1855-3974.2288.a20zbMath1479.05297arXiv2003.10032OpenAlexW3148198512MaRDI QIDQ5013340

Zsolt Tuza, Csilla Bujtás, Elena Guardo, Lorenzo Milazzo, Mario Gionfriddo, Salvatore Milici

Publication date: 30 November 2021

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.10032

zbMATH Keywords

cyclepathresolvable decompositioncomplex uniformly resolvable decomposition

Mathematics Subject Classification ID

Paths and cycles (05C38) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Graph designs and isomorphic decomposition (05C51)

Cites Work

• On the existence of uniformly resolvable decompositions of \(K_v\) and \(K_v-I\) into paths and kites
• Uniformly resolvable decompositions of \(K_v\) into \(P_3\) and \(K_3\) graphs
• Uniformly resolvable designs with block sizes 3 and 4
• Existence of resolvable path designs
• Maximum uniformly resolvable designs with block sizes 2 and 4
• Uniformly resolvable pairwise balanced designs with blocksizes two and three
• Maximum uniformly resolvable decompositions of \(K_v\) and \(K_v - I\) into 3-stars and 3-cycles
• Uniformly resolvable decompositions of \(K_v\) into paths on two, three and four vertices
• On uniformly resolvable designs with block sizes 3 and 4
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