19 citations · 30 across the 18 of their papers we have counts for
18 papers · 1 filter
Erdős-Ko-Rado-type problem for hypergraph matchings
Binwei Zhao, Tao Feng, Xiaomiao Wang +1
Given integers , a family of -matchings in a complete -partite -uniform hypergraph is said to be -intersecting if any two of its members share at least $…
The maximum size of the partial ground set of skew Bollobás systems
Yu Fang, Tao Feng, Xiaomiao Wang
A skew Bollobás system is a collection of pairs of disjoint subsets of such that for any …
Constructions of two-dimensional optical orthogonal codes of weight three
Xiuling Shan, Lidong Wang, Yanxun Chang +1
The study of optical orthogonal codes has been motivated by an application in an optical code-division multiple access system. This paper focuses on optimal two-dimensional optical…
Perfect difference families, perfect systems of difference sets and their applications
Hengrui Liu, Tao Feng, Xiaomiao Wang +1
Let be a positive odd integer. A -perfect difference family (PDF) is a collection of -subsets of such that the multiset $\bigcup_…
Variations on Bollobás systems of -partitions
Yu Fang, Xiaomiao Wang, Tao Feng
This paper investigates five kinds of systems of -partitions of , including symmetric Bollobás systems, strong Bollobás systems, Bollobás systems, skew Bollobás systems, an…
Embedding arbitrary edge-colorings of hypergraphs into regular colorings
Xiaomiao Wang, Tao Feng, Shixin Wang
For , an -factorization of the complete -fold -uniform -vertex hypergraph is a partition of the edges of into $F…
Cyclic relative difference families with block size four and their applications
Chenya Zhao, Binwei Zhao, Yanxun Chang +3
Given a subgroup of a group , a difference family (DF) is a set of -subsets of such that $\{f-f':f,f'\in F, f\neq f',F\in \mathcal F\}=G\…
The existence of cyclic (v,4,1)-designs
Menglong Zhang, Tao Feng, Xiaomiao Wang
Even though Peltesohn proved that a cyclic (v,3,1)-design exists if and only if as early as 1939, the problem of determining the spectrum of cyclic (v,k,1)-de…
Novák's conjecture on cyclic Steiner triple systems and its generalization
Tao Feng, Daniel Horsley, Xiaomiao Wang
Novák conjectured in 1974 that for any cyclic Steiner triple systems of order with , it is always possible to choose one block from each block orbit so that…
Partitionable sets, almost partitionable sets and their applications
Yanxun Chang, Simone Costa, Tao Feng +1
This paper introduces almost partitionable sets to generalize the known concept of partitionable sets. These notions provide a unified frame to construct -cyclic patter…
Optimal optical orthogonal signature pattern codes with weight three and cross-correlation constraint one
Rong Pan, Tao Feng, Lidong Wang +1
Optical orthogonal signature pattern codes (OOSPCs) have attracted wide attention as signature patterns of spatial optical code division multiple access networks. In this paper, an…
Strong difference families of special types
Yanxun Chang, Simone Costa, Tao Feng +1
Strong difference families of special types are introduced to produce new relative difference families from the point of view of both asymptotic existences and concrete examples. A…
Optimal -D -optical orthogonal codes and related equi-difference conflict avoiding codes
Tao Feng, Lidong Wang, Xiaomiao Wang
This paper focuses on constructions for optimal -D -optical orthogonal codes with . An upper bound on the size of such codes is est…
Frame difference families and resolvable balanced incomplete block designs
Simone Costa, Tao Feng, Xiaomiao Wang
Frame difference families, which can be obtained via a careful use of cyclotomic conditions attached to strong difference families, play an important role in direct constructions f…
New -designs from strong difference families
Simone Costa, Tao Feng, Xiaomiao Wang
Strong difference families are an interesting class of discrete structures which can be used to derive relative difference families. Relative difference families are closely relate…
Two-dimensional balanced sampling plans avoiding adjacent units
Xiaomiao Wang, Tao Feng, Jing Zhang +1
Hedayat et al. first introduced balanced sampling plans for the exclusion of contiguous units. Wright detailed the results of a preliminary investigation of two-dimensional balance…
Semi-cyclic holey group divisible designs with block size three and applications to sampling designs and optical orthogonal codes
Tao Feng, Xiaomiao Wang, Ruizhong Wei
We consider the existence problem for a semi-cyclic holey group divisible design of type (n,m^t) with block size 3, which is denoted by a 3-SCHGDD of type (n,m^t). When t is odd an…
Semi-cyclic holey group divisible designs with block size three
Tao Feng, Xiaomiao Wang, Yanxun Chang
In this paper we discuss the existence problem for a semi-cyclic holey group divisible design of type (n,m^t) with block size 3, which is denoted by a 3-SCHGDD of type (n,m^t). Whe…