Let G(V;E) be a graph. The common neighborhood graph (congraph) of G is a graph with vertex set V , in which two vertices are adjacent if and only if they have a common neighbor in G. In this paper, we obtain characteristics of congraphs under graph operations; Graph :::::union:::::, Graph cartesian product, Graph tensor product, and Graph join, and relations between Cayley graphs and its c...

Graph theoretical analysis has become an important tool in the examination of brain dysconnectivity in neurological and psychiatric brain disorders. A common analysis step in the construction of the functional graph or network involves "thresholding" of the connectivity matrix, selecting the set of edges that together form the graph on which network organization is evaluated. To avoid systemati...

Single-cell RNA sequencing (scRNA-seq) provides high-throughput information about the genome-wide gene expression levels at single-cell resolution, bringing a precise understanding on transcriptome of individual cells. Unfortunately, rapidly growing scRNA-seq data and prevalence dropout events pose substantial challenges for cell type annotation. Here, we propose model-based deep graph embeddin...