期刊： JOURNAL OF COMBINATORIAL DESIGNS, 2021; 29 (7)
It is well known that, whenever k divides n, the complete k-uniform hypergraph on n vertices can be partitioned into disjoint perfect matchings. Equiv......
期刊： JOURNAL OF COMBINATORIAL DESIGNS, 2021; 29 (11)
In this paper we investigate combinatorial constructions for w-cyclic holey group divisible packings with block size three (3-HGDPs). For any positive......
期刊： JOURNAL OF COMBINATORIAL DESIGNS, 2021; 29 (9)
This paper studies flag-transitive 2- ( v , k , lambda ) designs with ( r , lambda ) = 2. We prove that if D is a flag-transitive nontrivial 2- ( v , ......
期刊： JOURNAL OF COMBINATORIAL DESIGNS, 2021; 29 (6)
In this note, we present a corrected proof of Lemma 5.8 which was wrong due to the incorrectness of Construction 2.3, from our paper.
期刊： JOURNAL OF COMBINATORIAL DESIGNS, 2021; 29 (10)
In this paper, we first study a general type of affine-invariant codes and their support 2-designs. Then we derive infinite families of 2-designs from......
期刊： JOURNAL OF COMBINATORIAL DESIGNS, ; ()
In this article, we continue to study the existence of large sets of partitioned incomplete Latin squares (LSPILS). We complete the determination of t......
期刊： JOURNAL OF COMBINATORIAL DESIGNS, 2021; 29 (4)
Using group rings and characters as in the theory of abelian difference sets, some nonexistence results for strong difference families are provided. E......
期刊： JOURNAL OF COMBINATORIAL DESIGNS, 2021; 29 (4)
An r-golf design of order v, briefly by r-G(v), is a large set of idempotent Latin squares of order v (ILS(v)s) which contains r symmetric ILS(v)s and......
期刊： JOURNAL OF COMBINATORIAL DESIGNS, 2021; 29 (5)
In this paper, we focus on partial geometric designs with block sizes three and four. First, we show that a partial geometric design with block size t......
期刊： JOURNAL OF COMBINATORIAL DESIGNS, 2020; 28 (11)
It is well known to us that a graph of diameter l has at least l + 1 eigenvalues. A graph is said to be Laplacian (resp, normalized Laplacian) l-extre......
期刊： JOURNAL OF COMBINATORIAL DESIGNS, 2020; 28 (11)
This paper introduces almost partitionable sets (APSs) to generalize the known concept of partitionable sets. These notions provide a unified frame to......
期刊： JOURNAL OF COMBINATORIAL DESIGNS, 2020; 28 (5)
In this paper, we investigate the existence of large sets of symmetric partitioned incomplete latin squares of type g(u) (LSSPILSs) which can be viewe......
期刊： JOURNAL OF COMBINATORIAL DESIGNS, 2020; 28 (6)
Using a backtracking algorithm along with an essential change to the rows of representatives of known 13 710 027 equivalence classes of Hadamard matri......
期刊： JOURNAL OF COMBINATORIAL DESIGNS, 2020; 28 (7)
Ann-aryk-radius sequence is a finite sequence of elements taken from an alphabet of sizenin which any two distinct elements occur within distancekof e......
期刊： JOURNAL OF COMBINATORIAL DESIGNS, 2020; 28 (8)
Let D(n) be the number of pairwise disjoint Steiner quadruple systems (SQS) of order n. A simple counting argument shows that D(n) <= n-3 and a set......
