ABSTRACT: The generalized k -connectivity κ k ( G ) and k -edge-connectivity λ k ( G ) of a graph G are a natural generalization of traditional connectivity κ( G ) and edge connectivity λ( G ) , ...

ABSTRACT: The generalized k -connectivity κ k ( G ) and k -edge-connectivity λ k ( G ) of a graph G are a natural generalization of traditional connectivity κ( G ) and edge connectivity λ( G ) , ...

To address the issue, we propose a novel Topological-based Graph Transformer (TopGFormer) to generate functional connectivity from the structure connectivity with sufficient consideration of ...

Department of Mathematical Science, Isfahan University of Technology, P. O. Box 84156-83111, Isfahan, Iran School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P. O. Box ...

the precise network structure is unknown in most applications. Thus, it seems necessary to reconstruct the underlying network, which constitutes a tremendous, if not infeasible, obstacle to predicting ...

Experimental results demonstrate the effectiveness of our method in improving performance of GNNs. Furthermore, we investigate the changes in the graph structure induced by our method, taking into ...

Completeness: A graph is complete if every node is connected to every other node directly or indirectly. Connectivity ... are characterized by network structures, making graph theory a valuable ...

A collection of resources on dynamic/streaming/temporal/evolving graph processing systems, databases, data structures, datasets, and related academic and industrial work ...

College of Mathematics and Statistics, Fujian Normal University, Fuzhou, Fujian 350117, P. R. China Center for Applied Mathematics of Fujian Province, Fujian Normal University, Fuzhou 350117, P. R.