A new class of group divisible designs with block size three
From MaRDI portal
Publication:1185883
DOI10.1016/0097-3165(92)90099-GzbMath0759.05012MaRDI QIDQ1185883
D. G. Hoffman, Charles J. Colbourn, R. S. Rees
Publication date: 28 June 1992
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Related Items (71)
Linear spaces with many small lines ⋮ A note on $GDD(1, n, n , 4;\lambda_{1},\lambda_{2})$ ⋮ On the structure of a class of sets useful in nonadaptive group testing ⋮ Group divisible designs with block size four and group type \(g^{u} m^{1}\) for small \(g\) ⋮ Unnamed Item ⋮ The spectrum for 2-perfect bowtie systems ⋮ Partial Steiner triple systems with equal-sized holes ⋮ On constructions for optimal two-dimensional optical orthogonal codes ⋮ Balanced Steiner triple systems ⋮ \(i\)-perfect \(m\)-cycle systems, \(m\leq 19\) ⋮ A construction for optimal \(c\)-splitting authentication and secrecy codes ⋮ Equitable embeddings of Steiner triple systems ⋮ Group divisible designs with block size four and type \(g^ub^1 (gu/2)^1\) ⋮ Petersen graph decompositions of complete multipartite graphs ⋮ Kite-group divisible designs of type \(g^{ t } u^{1}\) ⋮ Unnamed Item ⋮ Group divisible designs with block size four and group type \(g^um^1\) for more small \(g\) ⋮ Group divisible designs with two associate classes, and quadratic leaves of triple systems ⋮ Metamorphosis of simple twofold triple systems into maximum twofold (\(K_4-e\))-packings ⋮ \(f\)-vectors of pure complexes and pure multicomplexes of rank three ⋮ Combinational constructions of splitting authentication codes with perfect secrecy ⋮ Splitting authentication codes with perfect secrecy: new results, constructions and connections with algebraic manipulation detection codes ⋮ Almost resolvable maximum packings of complete graphs with 5-cycles ⋮ The fine triangle intersection problem for \((K_4 - e)\)-designs ⋮ Unnamed Item ⋮ Optimal and pessimal orderings of Steiner triple systems in disk arrays. ⋮ Maximum w‐cyclic holey group divisible packings with block size three and applications to optical orthogonal codes ⋮ On the maximum double independence number of Steiner triple systems ⋮ The spectrum of semicyclic holey group divisible designs with block size three ⋮ Orthogonal cycle systems with cycle length less than 10 ⋮ Completely reducible super-simple designs with block size four and related super-simple packings ⋮ The fine triangle intersections for maximum kite packings ⋮ Unnamed Item ⋮ On group-divisible designs with block size four and group-type \(6^{u} m^{1}\). ⋮ Triple systems and binary operations ⋮ The existence spectrum for \((3,\lambda)\)-GDDs of type \(g^t u^1\) ⋮ Grooming traffic to minimize load ⋮ The fine triangle intersection problem for kite systems ⋮ Latin directed triple systems ⋮ Almost resolvable maximum packings of complete graphs with 4-cycles ⋮ Grooming for two-period optical networks ⋮ Unnamed Item ⋮ Group divisible designs with block size four and group type \(g^um^1\) ⋮ Egalitarian Steiner triple systems for data popularity ⋮ Some new classes of 2-fold optimal or perfect splitting authentication codes ⋮ Splitting balanced incomplete block designs with block size 3 × 2 ⋮ The 3-way intersection problem for kite systems ⋮ Doyen-Wilson theorem for perfect hexagon triple systems ⋮ A pair of disjoint 3-gdds of type \(g^{t} u^{1}\) ⋮ Packing designs with equal-sized holes ⋮ Minimum weights of point codes of Steiner triple systems ⋮ Group divisible designs with block size four and group type \(g^u m^1\) with minimum \(m\) ⋮ Further results on the existence of splitting BIBDs and application to authentication codes ⋮ Group-divisible designs with block size k having k +1 groups, for k =4, 5 ⋮ Unnamed Item ⋮ Distance and fractional isomorphism in Steiner triple systems ⋮ A decomposition of (λK υ)+ with extended triangles ⋮ Some New Infinite Classes of Candelabra Quadruple Systems ⋮ Kirkman frames having hole type \(h^u m^1\) for small \(h\) ⋮ A New Construction of Group Divisible Designs with Nonuniform Group Type ⋮ Group divisible designs with two associate classes: \(n=2\) or \(m=2\) ⋮ Mandatory representation designs MR\((3, k; \upsilon)\) with \(k\) even and \(\upsilon\) odd ⋮ Maximum \(w\)-cyclic holey group divisible packings and their application to three-dimensional optical orthogonal codes ⋮ Unnamed Item ⋮ Universal cycles for minimum coverings of pairs by triples, with application to 2-radius sequences ⋮ Some equitably 3-colourable cycle decompositions of complete equipartite graphs ⋮ Constructions and uses of incomplete pairwise balanced designs ⋮ On group divisible covering designs ⋮ Existence of holey 3-GDDs of type \((u,g^t w^1)\) ⋮ Degree- and Orbit-Balanced Γ-Designs When Γ Has Five Vertices ⋮ Uniquely 3-colourable Steiner triple systems
Cites Work
- Resolvable group divisible designs with block size 3
- On combinatorial designs with subdesigns
- On 1-factorizability of Cayley graphs
- The number of repeated blocks in twofold triple systems
- Uniformly resolvable pairwise balanced designs with blocksizes two and three
- Embeddings of Steiner triple systems
- On Cyclic Steiner 2-Designs
- Pairwise Balanced Designs with Block Sizes Three and Four
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A new class of group divisible designs with block size three
