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Fractal Nature Bridge between Neural Networks and Graph Theory Approach within Material Structure Characterization [PDF]
Fractal and Fractional, 2022 Many recently published research papers examine the representation of nanostructures and biomimetic materials, especially using mathematical methods. For this purpose, it is important that the mathematical method is simple and powerful.
Branislav M. Randjelovic +6 more
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Automated cone photoreceptor detection using synthetic data and deep learning in confocal adaptive optics scanning laser ophthalmoscope images [PDF]
Scientific ReportsAdaptive optics scanning laser ophthalmoscope (AOSLO) imaging enables the cone photoreceptor mosaic to be visualised in the living human eye. Performing quantitative analysis of these images requires identification of individual photoreceptors.
Mital Shah +4 more
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Linking Off-Road Points to Routing Networks
Algorithms, 2022 Although graph theory has already been introduced in spatial reasoning, current spatial database systems do not provide out-of-the-box routing on geometric points that are not matched on the graph.
Dominik Köppl
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Unique perfect matchings, forbidden transitions and proof nets for linear logic with Mix [PDF]
Logical Methods in Computer Science, 2020 This paper establishes a bridge between linear logic and mainstream graph theory, building on previous work by Retor\'e (2003). We show that the problem of correctness for MLL+Mix proof nets is equivalent to the problem of uniqueness of a perfect ...
Lê Thành Dũng Nguyên
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Structural matrices for Signed Petri net
AKCE International Journal of Graphs and Combinatorics, 2022 The developments in the field of Graph Theory and Petri net Theory in the form of balanceness and negative tokens respectively motivated the authors to bridge the gap between Petri net and Signed graph and introduce a new concept of Signed Petri net (SPN)
Payal, Sangita Kansal
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Prime Graph over Cartesian Product over Rings and Its Complement
JTAM (Jurnal Teori dan Aplikasi Matematika), 2023 Graph theory is a branch of algebra that is growing rapidly both in concept and application studies. This graph application can be used in chemistry, transportation, cryptographic problems, coding theory, design communication network, etc.
Farah Maulidya Fatimah +2 more
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On Generalized Topological Indices for Some Special Graphs
Journal of Mathematics, 2022 Topological indices are numeric values associated with a graph and characterize its structure. There are various topological indices in graph theory such as degree-based, distance-based, and counting-related topological indices.
Sheeba Afridi +2 more
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Proceedings of the Web Conference 2021, 2021 The von Neumann graph entropy (VNGE) is a measure of graph complexity based on the Laplacian spectrum. It has recently found applications in various learning tasks driven by networked data. However, it is computationally demanding and hard to interpret using simple structural patterns.
Xuecheng Liu, Luoyi Fu, Xinbing Wang
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Certain Notions of Picture Fuzzy Information with Applications
Journal of Mathematics, 2021 In this manuscript, the theory of constant picture fuzzy graphs (CPFG) is developed. A CPFG is a generalization of constant intuitionistic fuzzy graph (CIFG) and a special case of picture fuzzy graph (PFG).
Rukhshanda Anjum +2 more
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From Graph Theory to Graph Neural Networks (GNNs): The Opportunities of GNNs in Power Electronics
IEEE Access, 2023 Graph theory within power electronics, developed over a 50-year span, is continually evolving, necessitating ongoing research endeavors. Facing with the never-been-seen explosion of graph-structured data, the state-of-the-art deep learning technique ...
Yuzhuo Li +3 more
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