Results 21 to 30 of about 52,296 (256)

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

Further Results on the Nullity of Signed Graphs

open access: yesJournal of Applied Mathematics, 2014
The nullity of a graph is the multiplicity of the eigenvalue zero in its spectrum. A signed graph is a graph with a sign attached to each of its edges. In this paper, we apply the coefficient theorem on the characteristic polynomial of a signed graph and
Yu Liu, Lihua You
doaj   +1 more source

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

Learning Weight Signed Network Embedding with Graph Neural Networks

open access: yesData Science and Engineering, 2023
Network embedding aims to map nodes in a network to low-dimensional vector representations. Graph neural networks (GNNs) have received much attention and have achieved state-of-the-art performance in learning node representation.
Zekun Lu   +4 more
doaj   +1 more source

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

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

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

An algorithmic approach to signed fuzzy graph integrity: Complexity, graph operations, and metro rail network applications

open access: yesAin Shams Engineering Journal
This paper presents an algorithm to compute the integrity of a signed fuzzy graph by systematically evaluating vertex subsets, removing them, and analyzing the resulting connected components.
Chakaravarthy Sankar   +3 more
doaj   +1 more source

Eigenspaces for \(-2\) in signed line graphs

open access: yesThe American Journal of Combinatorics
It is known that \(-2\) appears in the spectrum of a connected signed line graph if and only if its root is either (a) a balanced signed graph, not a tree, that spans a switching of the complete signed graph or (b) an unbalanced simply signed graph ...
Zoran Stanić
doaj   +1 more source

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