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kategorie
2 032
podkategorie
23 060
pojęcia
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Graph Neural Networks (GNN)

Deep learning architecture designed to process structured graph data, enabling the learning of node and edge representations through message propagation.

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Traveling Salesman Problem (TSP)

NP-hard optimization problem seeking the minimum weight Hamiltonian cycle that visits each vertex exactly once in a complete weighted graph.

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Minimum Vertex Cover

Minimal set of vertices such that every edge in the graph has at least one endpoint in this set, a fundamental combinatorial optimization problem.

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Graph Coloring

Assignment of colors to vertices of a graph such that no two adjacent vertices share the same color, aiming to minimize the total number of colors used.

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Reinforcement Learning on Graphs

Approach combining RL and graph structures where the agent makes decisions on nodes/edges to optimize a global objective on the graph topology.

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Minimum Spanning Tree

Connected acyclic subgraph including all vertices with minimal sum of edge weights, efficiently solved by Kruskal's or Prim's algorithms.

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Maximum Flow

Problem aiming to determine the maximum possible flow between a source and a sink in a directed graph with capacities on edges.

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Community Detection

Identification of densely connected groups of nodes in a graph, using modularity metrics or unsupervised learning approaches.

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Graph Centrality

Set of metrics evaluating the relative importance of nodes in a network, including degree, betweenness, closeness, and eigenvector centralities.

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Graph Simulated Annealing

Optimization metaheuristic inspired by thermodynamics applied to graph problems, accepting degraded solutions with decreasing probability.

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Genetic Algorithm for Graphs

Evolutionary approach where chromosomes represent graph solutions, using crossover and mutation to explore combinatorial solution spaces.

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Multi-objective Optimization on Graphs

Simultaneous resolution of multiple conflicting objectives on graph structures, producing a Pareto front of non-dominated solutions.

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Graph Isomorphism Problem

Determination of whether two graphs are structurally identical despite different vertex labeling, a key problem in complexity theory.

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Maximum Cut Optimization

NP-hard problem seeking a vertex partition that maximizes the total weight of edges crossing the cut between the two sets.

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Routing Algorithms in Graphs

Set of techniques determining optimal or near-optimal paths in networks, combining heuristics and learning for dynamic adaptation.

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Spectral Clustering on Graphs

Partitioning method using eigenvectors of the graph Laplacian to project data into a space where clustering becomes trivial.

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