Results 11 to 20 of about 447,603 (295)

From Graph Theory to Graph Neural Networks (GNNs): The Opportunities of GNNs in Power Electronics

open access: yesIEEE 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
doaj   +2 more sources

Extending Undirected Graph Techniques to Directed Graphs via Category Theory

open access: yesMathematics
We use Category Theory to construct a ‘bridge’ relating directed graphs with undirected graphs, such that the notion of direction is preserved. Specifically, we provide an isomorphism between the category of simple directed graphs and a category we call ‘
Sebastian Pardo-Guerra   +4 more
doaj   +2 more sources

Localization–delocalization matrices: bridging QTAIM and chemical graph theory [PDF]

open access: bronzeActa Crystallographica Section A Foundations and Advances, 2017
Chérif F. Matta   +3 more
openalex   +2 more sources

Graph Theory Data for Topological Quantum Chemistry [PDF]

open access: yesPhysical Review E, 2017
Topological phases of noninteracting particles are distinguished by global properties of their band structure and eigenfunctions in momentum space.
Aroyo, M. I.   +7 more
core   +2 more sources

Local Convergence and Stability of Tight Bridge-Addable Graph Classes [PDF]

open access: yesInternational Workshop and International Workshop on Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques, 2016
A class of graphs is bridge-addable if given a graph G in the class, any graph obtained by adding an edge between two connected components of G is also in the class. The authors recently proved a conjecture of McDiarmid, Steger, and Welsh stating that if
Chapuy, Guillaume, Perarnau, Guillem
core   +3 more sources

Approximation of Algebraic Curves in Function Spaces of Topological Sequences Connected to Specific Simple Graph Families

open access: yesJournal of Function Spaces
Algebraic curves and topological sequences play a crucial role in mathematics and graph theory, serving as a bridge between geometry, algebra, and number theory.
Mohammad Mazyad Hazzazi   +4 more
doaj   +2 more sources

Revolutionizing Education: Harnessing Graph Machine Learning for Enhanced Problem-Solving in Environmental Science and Pollution Technology [PDF]

open access: yesNature Environment and Pollution Technology
Amidst the shifting tides of the educational landscape, this research article embarks on a transformative journey delving into the fusion of theoretical principles and pragmatic implementations within the realm of Graph Machine Learning (GML ...
R. Krishna Kumari
doaj   +2 more sources

Linking Off-Road Points to Routing Networks

open access: yesAlgorithms, 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
doaj   +1 more source

Unique perfect matchings, forbidden transitions and proof nets for linear logic with Mix [PDF]

open access: yesLogical 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
doaj   +1 more source

Structural matrices for Signed Petri net

open access: yesAKCE 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
doaj   +1 more source

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