13 papers
Model Graph Inductive Learning for Knowledge Graph Completion
Mohommad Esmaei Khani, Mahdieh Hasheminejad, Ali Taherkhani +1
Link prediction in knowledge graphs fundamentally depends on the quality of learned embeddings for entities and relations. However, most existing methods derive these embeddings by…
Partitioning of a graph into induced subgraphs not containing prescribed cliques
Yaser Rowshan, Ali Taherkhani
Let be a complete graph of order . A -free -coloring of a graph is a partition of into such that does not contain $K…
A Catlin-type Theorem for Graph Partitioning Avoiding Prescribed Subgraphs
Yaser Rowshan, Ali Taherkhani
As an extension of the Brooks theorem, Catlin in 1979 showed that if is neither an odd cycle nor a complete graph with maximum degree , then has a vertex -color…
Size and structure of large -union intersecting families
Ali Taherkhani
A family $\F$ of sets is said to be intersecting if any two sets in $\F$ have nonempty intersection. The celebrated Erd{\H o}s-Ko-Rado theorem determines the size and structure of…
On the random version of the Erdős matching conjecture
Meysam Alishahi, Ali Taherkhani
The Kneser hypergraph is an -uniform hypergraph with vertex set consisting of all -subsets of and any collection of vertices forms an…
Extremal -free induced subgraphs of Kneser graphs
Meysam Alishahi, Ali Taherkhani
The Kneser graph is a graph whose vertex set is the family of all -subsets of and two vertices are adjacent if their corresponding subsets are disjoint. T…