Chief Editor:Lai Zhongxiong,male,born in December 1966,Ph.D.,researcher,doctoral supervisor.Deputy dean of New Rural Development Research Institute,Fujian Agricuitural and Forestry University;director of Horticulturai...Chief Editor:Lai Zhongxiong,male,born in December 1966,Ph.D.,researcher,doctoral supervisor.Deputy dean of New Rural Development Research Institute,Fujian Agricuitural and Forestry University;director of Horticulturai Plant Bio-engineering Institute(Subtropical Fruit Research Institute)former deputy dean of College of Horticulture(2004-2016).展开更多
On Feb.24,an annual butter sculpture show was held in Taer Monastery of Qinghai Province,which marks the Chinese Lanterm Festival.The butter sculptures are handmade by monks in shapes of Buddha figurines,trees,flowers...On Feb.24,an annual butter sculpture show was held in Taer Monastery of Qinghai Province,which marks the Chinese Lanterm Festival.The butter sculptures are handmade by monks in shapes of Buddha figurines,trees,flowers,birds and animals.展开更多
The bipartite Turán number of a graph H, denoted by ex(m,n;H), is the maximum number of edges in any bipartite graph G=(A,B;E(G))with | A |=mand | B |=nwhich does not contain H as a subgraph. Whenmin{ m,n }>2t...The bipartite Turán number of a graph H, denoted by ex(m,n;H), is the maximum number of edges in any bipartite graph G=(A,B;E(G))with | A |=mand | B |=nwhich does not contain H as a subgraph. Whenmin{ m,n }>2t, the problem of determining the value of ex(m,n;Km−t,n−t)has been solved by Balbuena et al. in 2007, whose proof focuses on the structural analysis of bipartite graphs. In this paper, we provide a new proof on the value of ex(m,n;Km−t,n−t)by virtue of algebra method with the tool of adjacency matrices of bipartite graphs, which is inspired by the method using { 0,1 }-matrices due to Zarankiewicz [Problem P 101. Colloquium Mathematicum, 2(1951), 301].展开更多
文摘Chief Editor:Lai Zhongxiong,male,born in December 1966,Ph.D.,researcher,doctoral supervisor.Deputy dean of New Rural Development Research Institute,Fujian Agricuitural and Forestry University;director of Horticulturai Plant Bio-engineering Institute(Subtropical Fruit Research Institute)former deputy dean of College of Horticulture(2004-2016).
文摘On Feb.24,an annual butter sculpture show was held in Taer Monastery of Qinghai Province,which marks the Chinese Lanterm Festival.The butter sculptures are handmade by monks in shapes of Buddha figurines,trees,flowers,birds and animals.
文摘The bipartite Turán number of a graph H, denoted by ex(m,n;H), is the maximum number of edges in any bipartite graph G=(A,B;E(G))with | A |=mand | B |=nwhich does not contain H as a subgraph. Whenmin{ m,n }>2t, the problem of determining the value of ex(m,n;Km−t,n−t)has been solved by Balbuena et al. in 2007, whose proof focuses on the structural analysis of bipartite graphs. In this paper, we provide a new proof on the value of ex(m,n;Km−t,n−t)by virtue of algebra method with the tool of adjacency matrices of bipartite graphs, which is inspired by the method using { 0,1 }-matrices due to Zarankiewicz [Problem P 101. Colloquium Mathematicum, 2(1951), 301].
