Rethinking the expressive power of gnns via graph biconnectivity
Designing expressive Graph Neural Networks (GNNs) is a central topic in learning graph-
structured data. While numerous approaches have been proposed to improve GNNs in …
structured data. While numerous approaches have been proposed to improve GNNs in …
[图书][B] Algebraic combinatorics
E Bannai, E Bannai, T Ito, R Tanaka - 2021 - books.google.com
Algebraic combinatorics is the study of combinatorial objects as an extension of the study of
finite permutation groups, or, in other words, group theory without groups. In the spirit of …
finite permutation groups, or, in other words, group theory without groups. In the spirit of …
Curvature filtrations for graph generative model evaluation
J Southern, J Wayland… - Advances in Neural …, 2023 - proceedings.neurips.cc
Graph generative model evaluation necessitates understanding differences between graphs
on the distributional level. This entails being able to harness salient attributes of graphs in …
on the distributional level. This entails being able to harness salient attributes of graphs in …
Strongly regular graphs
AE Brouwer, WH Haemers, AE Brouwer, WH Haemers - Spectra of graphs, 2012 - Springer
Strongly Regular Graphs Page 1 Chapter 9 Strongly Regular Graphs 9.1 Strongly regular
graphs A graph (simple, undirected, and loopless) of order v is called strongly regular with …
graphs A graph (simple, undirected, and loopless) of order v is called strongly regular with …
Distributed model predictive control of linear discrete-time systems with local and global constraints
This paper proposes a Distributed Model Predictive Control (DMPC) approach for a family of
discrete-time linear systems with local (uncoupled) and global (coupled) constraints. The …
discrete-time linear systems with local (uncoupled) and global (coupled) constraints. The …
Toward network‐based planetary biosignatures: Atmospheric chemistry as unipartite, unweighted, undirected networks
ML Wong, A Prabhu, J Williams… - Journal of …, 2023 - Wiley Online Library
Previous examinations of astrophysical chemical reaction networks found that Earth's
atmospheric network was distinct in its hierarchical organization and scale‐free nature. If …
atmospheric network was distinct in its hierarchical organization and scale‐free nature. If …
Eigenvalues of Cayley graphs
X Liu, S Zhou - arXiv preprint arXiv:1809.09829, 2018 - arxiv.org
arXiv:1809.09829v3 [math.CO] 22 Apr 2022 Eigenvalues of Cayley graphs Page 1 arXiv:1809.09829v3
[math.CO] 22 Apr 2022 Eigenvalues of Cayley graphs Xiaogang Liu∗ School of Mathematics …
[math.CO] 22 Apr 2022 Eigenvalues of Cayley graphs Xiaogang Liu∗ School of Mathematics …
Spatial search on Johnson graphs by continuous-time quantum walk
Spatial search on graphs is one of the most important algorithmic applications of quantum
walks. To show that a quantum-walk-based search is more efficient than a random-walk …
walks. To show that a quantum-walk-based search is more efficient than a random-walk …
Projective geometries, Q-polynomial structures, and quantum groups
P Terwilliger - Discrete Mathematics, 2025 - Elsevier
In 2023 we obtained a Q-polynomial structure for the projective geometry LN (q). In the
present paper, we display a more general Q-polynomial structure for LN (q). Our new Q …
present paper, we display a more general Q-polynomial structure for LN (q). Our new Q …
Distance-regular graphs, the subconstituent algebra, and the Q-polynomial property
P Terwilliger - Algebraic Combinatorics and the Monster Group, 2023 - books.google.com
Distance-regular graphs, the subconstituent algebra, and the Q-polynomial property Page 447
11 Distance-Regular Graphs, the Subconstituent Algebra, and the Q -Polynomial Property Paul …
11 Distance-Regular Graphs, the Subconstituent Algebra, and the Q -Polynomial Property Paul …