MSGNN: A Spectral Graph Neural Network Based on a Novel Magnetic Signed Laplacian [PDF]
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
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Signed random walk diffusion for effective representation learning in signed graphs.
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
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Research on Extreme Signed Graphs with Minimal Energy in Tricyclic Signed Graphs S(n, n + 2)
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
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A bivariate chromatic polynomial for signed graphs [PDF]
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
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Signed Laplacian Graph Neural Networks
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]
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.
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On $bullet$-lict signed graphs $L_{bullet_c}(S)$ and $bullet$-line signed graphs $L_bullet(S)$ [PDF]
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
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
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Improved kernels for Signed Max Cut parameterized above lower bound on (r,l)-graphs [PDF]
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
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Notes on upper bounds for the largest eigenvalue based on edge-decompositions of a signed graph
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
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