Results 41 to 50 of about 415,143 (70)

Gradient boosted graph convolutional network on heterophilic graph

open access: yes
Graph Neural Networks (GNNs) are impressive models that have been highly successful in performing graphical analysis and learning. However, GNNs are known to be outstanding in learning from homophilic graphs but are subpar in learning from heterophilic ...
Seah, Ming Yang
core  

Asymmetric game perfect graphs and the circular coloring game of weighted graphs [PDF]

open access: yes, 2011
Zacharopoulos P. Asymmetric game perfect graphs and the circular coloring game of weighted graphs.
Zacharopoulos, Panagiotis
core  

Edge-Splitting MLP: Node Classification on Homophilic and Heterophilic Graphs without Message Passing

open access: yes
Message Passing Neural Networks (MPNNs) have demonstrated remarkable success in node classification on homophilic graphs. It has been shown that they do not solely rely on homophily but on neighborhood distributions of nodes, i.e., consistency of the ...
Hoffmann, Marcel   +2 more
core  

Heterophilic Graph Neural Networks Optimization with Causal Message-passing

open access: yes
In this work, we discover that causal inference provides a promising approach to capture heterophilic message-passing in Graph Neural Network (GNN).
Li, Jia   +4 more
core   +1 more source

Developments on Spectral Characterizations of Graphs [PDF]

open access: yes
In [E.R. van Dam and W.H. Haemers, Which graphs are determined by their spectrum?, Linear Algebra Appl. 373 (2003), 241-272] we gave a survey of answers to the question of which graphs are determined by the spectrum of some matrix associated to the graph.
Dam, E.R. van, Haemers, W.H.
core  

Dual-Frequency Filtering Self-aware Graph Neural Networks for Homophilic and Heterophilic Graphs

open access: yes
Graph Neural Networks (GNNs) have excelled in handling graph-structured data, attracting significant research interest. However, two primary challenges have emerged: interference between topology and attributes distorting node representations, and the ...
Wang, Shaofan   +6 more
core  

Graph Neural Networks for Graphs With Heterophily: A Survey

open access: yes
Recent years have witnessed fast developments of graph neural networks (GNNs) that have benefited myriad graph analytic tasks and applications. Most GNNs rely on the homophily assumption that nodes belonging to the same class are more likely to be ...
Liu, Y   +7 more
core   +1 more source

Median computation in graphs using consensus strategies [PDF]

open access: yes
Following the Majority Strategy in graphs, other consensus strategies, namely Plurality Strategy, Hill Climbing and Steepest Ascent Hill Climbing strategies on graphs are discussed as methods for the computation of median sets of profiles.
Changat, M.   +2 more
core  

An Odd Characterization of the Generalized Odd Graphs [PDF]

open access: yes
2010 Mathematics Subject Classification: 05E30, 05C50;distance-regular graphs;generalized odd graphs;odd-girth;spectra of graphs;spectral excess theorem;spectral ...
Dam, E.R. van, Haemers, W.H.
core  

Spectral Characterization of the Hamming Graphs [PDF]

open access: yes
We show that the Hamming graph H(3; q) with diameter three is uniquely determined by its spectrum for q ¸ 36. Moreover, we show that for given integer D ¸ 2, any graph cospectral with the Hamming graph H(D; q) is locally the disjoint union of D copies of
Koolen, J.H., Bang, S., Dam, E.R. van
core  

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