Years ago, an audacious Fields medalist outlined a sweeping program that, he claimed, could be used to resolve a major ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

ABSTRACT: Brualdi and Goldwasser characterized the Laplacian permanents of trees. In this paper, we study the Laplacian permanents of trees. We characterize some Laplacian permanents of trees. The ...

Abstract: Understanding the underlying graph structure of a nonlinear map over a particular domain is essential in evaluating its potential for real applications. In this paper, we investigate the ...

Jason I. Brown, Yakup Koc and Robert Kooij, Inflection Points for Network Reliability, Telecommunication Systems Journal, accepted for publication. Jason I. Brown and Julia Tufts, On the Roots of ...

Abstract: In digital signal processing, a shift-invariant filter can be represented as a polynomial expansion of a shift operation, that is, the Z-transform representation. When extended to graph ...

If you find this work useful, please cite our paper. Note that the first three authors contributed equally to this work. Graph Neural Networks (GNNs) exploit signals from node features and the input ...

Dr Cheng Dongqin will be with MME from 13 July 2022 to 12 July 2023. She is working on graph theory with A/P Dong Fengming. Her research interests include embedding and fault tolerance properties of ...

Vector graph or chart of quadratic or polynomial function with formula f(x) = ax2 + bx + c. The mathematical operation, basic function. Graph with grid and coordinates isolated on white background.

The artificial intelligence (AI) program DeepMind has gotten closer to proving a math conjecture that's bedeviled mathematicians for decades and revealed another new conjecture that may unravel how ...