On cospectrality of gain graphs [PDF]
Special Matrices, 2022 We define GG-cospectrality of two GG-gain graphs (Γ,ψ)\left(\Gamma ,\psi ) and (Γ′,ψ′)\left(\Gamma ^{\prime} ,\psi ^{\prime} ), proving that it is a switching isomorphism invariant.
Cavaleri Matteo, Donno Alfredo
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Line and Subdivision Graphs Determined by
Mathematics, 2019 Let T 4 = { ± 1 , ± i } be the subgroup of fourth roots of unity inside T , the multiplicative group of complex units. For a T 4 -gain graph Φ = ( Γ , T 4 , φ ) , we introduce gain functions on ...
Abdullah Alazemi +4 more
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On two Laplacian matrices for skew gain graphs [PDF]
Electronic Journal of Graph Theory and Applications, 2021 Gain graphs are graphs where the edges are given some orientation and labeled with the elements (called gains) from a group so that gains are inverted when we reverse the direction of the edges.
Roshni T. Roy +2 more
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Eigenvalues of complex unit gain graphs and gain regularity [PDF]
Special MatricesA complex unit gain graph (or T{\mathbb{T}}-gain graph) Γ=(G,γ)\Gamma =\left(G,\gamma ) is a gain graph with gains in T{\mathbb{T}}, the multiplicative group of complex units.
Brunetti Maurizio
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Multi-Duplicated Characterization of Graph Structures Using Information Gain Ratio for Graph Neural Networks [PDF]
IEEE Access, 2023 Various graph neural networks (GNNs) have been proposed to solve node classification tasks in machine learning for graph data. GNNs use the structural information of graph data by aggregating the feature vectors of neighboring nodes.
Yuga Oishi, Ken Kaneiwa
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Cycle and Circle Tests of Balance in Gain Graphs: Forbidden Minors and Their Groups
, 2002 We examine two criteria for balance of a gain graph, one based on binary cycles and one on circles. The graphs for which each criterion is valid depend on the set of allowed gain groups.
Konstantin Rybnikov, Thomas Zasĺavsky
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An elementary chromatic reduction for gain graphs and special hyperplane arrangements [PDF]
, 2010 A gain graph is a graph whose edges are labelled invertibly by "gains" from a group. "Switching" is a transformation of gain graphs that generalizes conjugation in a group.
Pascal Berthomé +4 more
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Enhancing cybersecurity through autonomous knowledge graph construction by integrating heterogeneous data sources [PDF]
PeerJ Computer ScienceCybersecurity plays a critical role in today’s modern human society, and leveraging knowledge graphs can enhance cybersecurity and privacy in the cyberspace.
Hatoon Alharbi +3 more
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An interaction graph approach to gain new insights into mechanisms that modulate cerebrovascular tone [PDF]
Communications BiologyMechanisms to modulate cerebrovascular tone are numerous, interconnected, and spatially dependent, increasing the complexity of experimental study design, interpretation of action-effect pathways, and mechanistic modelling. This difficulty is exacerbated
Sergio Dempsey +3 more
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Gain and Pain in Graph Partitioning: Finding Accurate Communities in Complex Networks [PDF]
AlgorithmsThis paper presents an approach to community detection in complex networks by simultaneously incorporating a connectivity-based metric and Max-Min Modularity.
Arman Ferdowsi, Maryam Dehghan Chenary
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