摘要
In this paper, we investigate the intersection numbers of nearly Kirkman triple systems.JN[V] is the set of all integers k such that there is a pair of NKTS（v）s with a common uncovered collection of 2-subset intersecting in k triples. It has been established that JN[v] = {0, 1,. v（v-2）/6-6,v（v-2）/6-4,v（v-2）/6} for any integers v = 0 （mod 6） and v ≥ 66. For v ≤ 60, there are 8 cases leftundecided.
In this paper, we investigate the intersection numbers of nearly Kirkman triple systems.JN[V] is the set of all integers k such that there is a pair of NKTS（v）s with a common uncovered collection of 2-subset intersecting in k triples. It has been established that JN[v] = {0, 1,. v（v-2）/6-6,v（v-2）/6-4,v（v-2）/6} for any integers v = 0 （mod 6） and v ≥ 66. For v ≤ 60, there are 8 cases leftundecided.
基金
Supported by the Fundamental Research Funds for the Central Universities(Grant No.2014JBM121)
National Natural Science Foundation of China(Grant Nos.11271042,11471032 and 11571034)
