Optimal packings of \(K_4\)'s into a \(K_n\)

From MaRDI portal
Publication:1259551

DOI10.1016/0097-3165(79)90105-5zbMath0412.05030OpenAlexW2082207918MaRDI QIDQ1259551

Andries E. Brouwer

Publication date: 1979

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(79)90105-5



Related Items

A systematic approach to some block design constructions, An application of modified group divisible designs, Bipacking pairs by quintuples: The case \(\nu\equiv 13\bmod 20\), Concerning the spectrum of perpendicular arrays of triple systems, Incomplete conjugate orthogonal idempotent Latin squares, Group divisible packings and coverings with any minimum leave and minimum excess, \(i\)-perfect \(m\)-cycle systems, \(m\leq 19\), Frames for Kirkman triple systems, Small group-divisible designs with block size four, Incomplete idempotent Schröder quasigroups and related packing designs, Mandatory representation designs, Partitionable perfect cycle systems with cycle lengths 6 and 8, The intersection numbers of nearly Kirkman triple systems, On the existence of super-simple designs with block size 4, A special class of nested Steiner triple systems, On complementary decompositions of the complete graph, The 3-way intersection problem for Kirkman triple systems, Generalized packing designs, The flower intersection problem for \(S(2,4,v)\)'s, Kite-group divisible packings and coverings with any minimum leave and minimum excess, Resolvable perfect cyclic designs, Optimal possibly nonlinear 3-PIR codes of small size, A general construction for group-divisible designs, On combinatorial designs with subdesigns, On packing designs with block size 5 and index 4, Latin squares with pairwise orthogonal conjugates, The intersection numbers of KTSs with a common parallel class, Unnamed Item, Self-orthogonal semisymmetric quasigroups, Combinatorial and computational aspects of graph packing and graph decomposition, Existence of \((v,\{5,w^*\},1)\)-PBDs., HGDDs with block size four., Packings and coverings of various complete graphs with the 4-cycle with a pendant edge, Small embedding of an \(S_3(2,4,u)\) into an \(S_\lambda (2,4,u+w)\), The spectrum for 2-perfect 6-cycle systems, Two conjectures of Demetrovics, Füredi, and Katona, concerning partitions, The packing of pairs by quadruples, The spectrum of \(\alpha\)-resolvable block designs with block size 3, Packing designs with block size 5 and indexes 8, 12, 16, Existence of optimal strong partially balanced designs, Determining the spectrum of \(\mathrm{Meta}(K_{4}+e>K_{4},\lambda)\) for any \(\lambda\), A subspace covering problem in the \(n\)-cube, Packing designs with block size 6 and index 5, Partitioning twofold triple systems into complete arcs, Induced Decompositions of Graphs, Balanced ternary designs with block size four, On the existence of maximum resolvable (\(K_{4} - e\))-packings, Super-simple, pan-orientable and pan-decomposable GDDs with block size 4, Packing designs with block size 5 and index 2: The case \(\upsilon\) even, Packing of \(K_{v}\) with certain graphs of five vertices, Super-simple, pan-orientable, and pan-decomposable BIBDs with block size 4 and related structures, The triangle intersection numbers of a pair of disjoint \(S(2,4,v)\)s, The triangle intersection problem for \(S(2,4,v)\) designs, Rainbow decompositions, List decodability at small radii, More balanced ternary designs with block size four, On minimum matrix representation of closure operations, Decomposition of the complete hypergraph into stars, Mandatory representation designs MRD(4\(,k;v\)) with \(k\equiv 2\) mod 3, Unnamed Item, Existence of \((v,K_{1(3)}\cup\{w^*\})\)-PBDs and its applications, Some combinatorial constructions for optimal perfect deletion-correcting codes, Optimal grid holey packings with block size 3 and 4, Embeddings on \(S(2,4,v)\), A New Construction of Group Divisible Designs with Nonuniform Group Type, Group divisible designs with block size 4 where the group sizes are congruent to 2 mod 3, The spectra of a variety of quasigroups and related combinatorial designs, Unnamed Item, Two-weight codes: upper bounds and new optimal constructions, Intersection numbers of Kirkman triple systems, Mols with holes, Almost resolvable decomposition of K//n*, Optimal partial clique edge covering guided by potential energy minimization, Modified group divisible designs with block size 4 and \(\lambda=1\), Directed covering with block size 5 and index even, Constructions and uses of incomplete pairwise balanced designs, Searching for spreads and packings, Mendelsohn directed triple systems, Some recent developments on BIBDs and related designs, Packing pairs by quintuples with index 2: \(v\) odd, \(v\not\equiv 13\pmod{20}\), The spectrum of nested Steiner triple systems, The flower intersection problem for Kirkman triple systems, On small packing and covering designs with block size 4



Cites Work