Results 31 to 40 of about 2,708,601 (295)

MSGNN: A Spectral Graph Neural Network Based on a Novel Magnetic Signed Laplacian [PDF]

open access: yesLOG IN, 2022
Signed and directed networks are ubiquitous in real-world applications. However, there has been relatively little work proposing spectral graph neural networks (GNNs) for such networks.
Yixuan He   +3 more
semanticscholar   +1 more source

Signed random walk diffusion for effective representation learning in signed graphs.

open access: yesPLoS ONE, 2022
How can we model node representations to accurately infer the signs of missing edges in a signed social graph? Signed social graphs have attracted considerable attention to model trust relationships between people. Various representation learning methods
Jinhong Jung, Jaemin Yoo, U Kang
doaj   +2 more sources

Research on Extreme Signed Graphs with Minimal Energy in Tricyclic Signed Graphs S(n, n + 2)

open access: yesComplexity, 2020
A signed graph is acquired by attaching a sign to each edge of a simple graph, and the signed graphs have been widely used as significant computer models in the study of complex systems.
Yajing Wang, Yubin Gao
doaj   +1 more source

A bivariate chromatic polynomial for signed graphs [PDF]

open access: yes, 2014
We study Dohmen--P\"onitz--Tittmann's bivariate chromatic polynomial $c_\Gamma(k,l)$ which counts all $(k+l)$-colorings of a graph $\Gamma$ such that adjacent vertices get different colors if they are $\le k$.
Beck, Matthias, Hardin, Mela
core   +1 more source

Signed Laplacian Graph Neural Networks

open access: yesAAAI Conference on Artificial Intelligence, 2023
This paper studies learning meaningful node representations for signed graphs, where both positive and negative links exist. This problem has been widely studied by meticulously designing expressive signed graph neural networks, as well as capturing the ...
Yu Li, Meng Qu, Jian Tang, Yi Chang
semanticscholar   +1 more source

A Study on Integer Additive Set-Valuations of Signed Graphs [PDF]

open access: yes, 2015
Let $\N$ denote the set of all non-negative integers and $\cP(\N)$ be its power set. An integer additive set-labeling (IASL) of a graph $G$ is an injective set-valued function $f:V(G)\to \cP(\N)-\{\emptyset\}$ such that the induced function $f^+:E(G) \to
Germina, K. A., Sudev, N. K.
core   +4 more sources

On $bullet$-lict signed graphs $L_{bullet_c}(S)$ and $bullet$-line signed graphs $L_bullet(S)$ [PDF]

open access: yesTransactions on Combinatorics, 2016
A emph{signed graph} (or, in short, emph{sigraph}) $S=(S^u,sigma)$ consists of an underlying graph $S^u :=G=(V,E)$ and a function $sigma:E(S^u)longrightarrow {+,-}$, called the signature of $S$. A emph{marking} of $S$ is a function $mu:V(S)longrightarrow
Mukti Acharya   +2 more
doaj  

Signed Complete Graphs with Maximum Index

open access: yesDiscussiones Mathematicae Graph Theory, 2020
Let Γ = (G, σ) be a signed graph, where G is the underlying simple graph and σ E(G) → {−, +} is the sign function on the edges of G. The adjacency matrix of a signed graph has −1 or +1 for adjacent vertices, depending on the sign of the edges.
Akbari Saieed   +3 more
doaj   +1 more source

Improved kernels for Signed Max Cut parameterized above lower bound on (r,l)-graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2017
A graph $G$ is signed if each edge is assigned $+$ or $-$. A signed graph is balanced if there is a bipartition of its vertex set such that an edge has sign $-$ if and only if its endpoints are in different parts.
Luerbio Faria   +3 more
doaj   +1 more source

Notes on upper bounds for the largest eigenvalue based on edge-decompositions of a signed graph

open access: yesKuwait Journal of Science, 2023
The adjacency matrix of a signed graph has +1 or -1 for adjacent vertices, depending on the sign of the connecting edge. According to this concept, an ordinary graph can be interpreted as a signed graph without negative edges.
Zoran Stanić
doaj   +1 more source

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