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- Laplacian_matrix abstract "In the mathematical field of graph theory, the Laplacian matrix, sometimes called admittance matrix, Kirchhoff matrix or discrete Laplacian, is a matrix representation of a graph. Together with Kirchhoff's theorem, it can be used to calculate the number of spanning trees for a given graph. The Laplacian matrix can be used to find many other properties of the graph. Cheeger's inequality from Riemannian geometry has a discrete analogue involving the Laplacian matrix; this is perhaps the most important theorem in spectral graph theory and one of the most useful facts in algorithmic applications. It approximates the sparsest cut of a graph through the second eigenvalue of its Laplacian.".
- Laplacian_matrix thumbnail 6n-graf.svg?width=300.
- Laplacian_matrix wikiPageID "1448472".
- Laplacian_matrix wikiPageLength "25046".
- Laplacian_matrix wikiPageOutDegree "48".
- Laplacian_matrix wikiPageRevisionID "680676899".
- Laplacian_matrix wikiPageWikiLink Adjacency_matrix.
- Laplacian_matrix wikiPageWikiLink Algebraic_connectivity.
- Laplacian_matrix wikiPageWikiLink Block_matrix.
- Laplacian_matrix wikiPageWikiLink Category:Algebraic_graph_theory.
- Laplacian_matrix wikiPageWikiLink Category:Matrices.
- Laplacian_matrix wikiPageWikiLink Cheeger_constant.
- Laplacian_matrix wikiPageWikiLink Connected_component_(graph_theory).
- Laplacian_matrix wikiPageWikiLink Degree_(graph_theory).
- Laplacian_matrix wikiPageWikiLink Degree_matrix.
- Laplacian_matrix wikiPageWikiLink Diagonally_dominant_matrix.
- Laplacian_matrix wikiPageWikiLink Directed_graph.
- Laplacian_matrix wikiPageWikiLink Discrete_Laplace_operator.
- Laplacian_matrix wikiPageWikiLink Eigenvalues.
- Laplacian_matrix wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Laplacian_matrix wikiPageWikiLink Fiedler_value.
- Laplacian_matrix wikiPageWikiLink Finite_difference_method.
- Laplacian_matrix wikiPageWikiLink Graph_(mathematics).
- Laplacian_matrix wikiPageWikiLink Graph_labeling.
- Laplacian_matrix wikiPageWikiLink Graph_theory.
- Laplacian_matrix wikiPageWikiLink Heat_equation.
- Laplacian_matrix wikiPageWikiLink Incidence_matrix.
- Laplacian_matrix wikiPageWikiLink Kernel_(linear_algebra).
- Laplacian_matrix wikiPageWikiLink Kirchhoffs_theorem.
- Laplacian_matrix wikiPageWikiLink Labeled_graph.
- Laplacian_matrix wikiPageWikiLink Laplace_operator.
- Laplacian_matrix wikiPageWikiLink Laplacian.
- Laplacian_matrix wikiPageWikiLink M-matrix.
- Laplacian_matrix wikiPageWikiLink Mathematics.
- Laplacian_matrix wikiPageWikiLink Matrix_(mathematics).
- Laplacian_matrix wikiPageWikiLink Matrix_differential_equation.
- Laplacian_matrix wikiPageWikiLink Neumann_boundary_condition.
- Laplacian_matrix wikiPageWikiLink Positive-definite_matrix.
- Laplacian_matrix wikiPageWikiLink Probability_vector.
- Laplacian_matrix wikiPageWikiLink Random_walk.
- Laplacian_matrix wikiPageWikiLink Resistance_distance.
- Laplacian_matrix wikiPageWikiLink Riemannian_geometry.
- Laplacian_matrix wikiPageWikiLink Simple_graph.
- Laplacian_matrix wikiPageWikiLink Spanning_tree.
- Laplacian_matrix wikiPageWikiLink Spanning_tree_(mathematics).
- Laplacian_matrix wikiPageWikiLink Spectral_gap.
- Laplacian_matrix wikiPageWikiLink Spectral_graph_theory.
- Laplacian_matrix wikiPageWikiLink Spectral_theorem.
- Laplacian_matrix wikiPageWikiLink Standard_basis.
- Laplacian_matrix wikiPageWikiLink Stencil_(numerical_analysis).
- Laplacian_matrix wikiPageWikiLink Stiffness_matrix.
- Laplacian_matrix wikiPageWikiLink Transpose.
- Laplacian_matrix wikiPageWikiLink File:6n-graf.svg.
- Laplacian_matrix wikiPageWikiLink File:Graph_Laplacian_Diffusion_Example.gif.
- Laplacian_matrix wikiPageWikiLinkText "Laplacian matrix".
- Laplacian_matrix wikiPageWikiLinkText "Laplacian of the matrix".
- Laplacian_matrix wikiPageWikiLinkText "Laplacian".
- Laplacian_matrix wikiPageWikiLinkText "combinatorial Laplacian".
- Laplacian_matrix wikiPageWikiLinkText "graph Laplacian".
- Laplacian_matrix wikiPageWikiLinkText "graph laplacian".
- Laplacian_matrix wikiPageWikiLinkText "laplacian".
- Laplacian_matrix wikiPageWikiLinkText "random walk normalized Laplacian".
- Laplacian_matrix wikiPageWikiLinkText "symmetric normalized Laplacian".
- Laplacian_matrix hasPhotoCollection Laplacian_matrix.
- Laplacian_matrix wikiPageUsesTemplate Template:Reflist.
- Laplacian_matrix wikiPageUsesTemplate Template:Why.
- Laplacian_matrix wikiPageUsesTemplate Template:Why%3F.
- Laplacian_matrix subject Category:Algebraic_graph_theory.
- Laplacian_matrix subject Category:Matrices.
- Laplacian_matrix hypernym Representation.
- Laplacian_matrix type Article.
- Laplacian_matrix type Article.
- Laplacian_matrix type Matrix.
- Laplacian_matrix comment "In the mathematical field of graph theory, the Laplacian matrix, sometimes called admittance matrix, Kirchhoff matrix or discrete Laplacian, is a matrix representation of a graph. Together with Kirchhoff's theorem, it can be used to calculate the number of spanning trees for a given graph. The Laplacian matrix can be used to find many other properties of the graph.".
- Laplacian_matrix label "Laplacian matrix".
- Laplacian_matrix sameAs Matriz_laplaciana.
- Laplacian_matrix sameAs Laplacen_matriisi.
- Laplacian_matrix sameAs Matrice_laplacienne.
- Laplacian_matrix sameAs Matrice_laplaciana.
- Laplacian_matrix sameAs m.052dmj.
- Laplacian_matrix sameAs Матрица_Кирхгофа.
- Laplacian_matrix sameAs Laplaceova_matrika.
- Laplacian_matrix sameAs Ma_trận_Laplace.
- Laplacian_matrix sameAs Q772067.
- Laplacian_matrix sameAs Q772067.
- Laplacian_matrix wasDerivedFrom Laplacian_matrix?oldid=680676899.
- Laplacian_matrix depiction 6n-graf.svg.
- Laplacian_matrix isPrimaryTopicOf Laplacian_matrix.