Smith and critical groups of polar graphs
Copyright policy )Smith and critical groups of polar graphs
We compute the elementary divisors of the adjacency and Laplacian matrices of families of polar graphs. These graphs have as vertices the isotropic one-dimensional subspaces of finite vector spaces with respect to non-degenerate forms, with adjacency given by orthogonality.
- University of Florida United States
adjacency matrix, Graphs and linear algebra (matrices, eigenvalues, etc.), elementary divisors, Smith normal form, polar graph, invariant factors, critical group, FOS: Mathematics, Mathematics - Combinatorics, sandpile group, Combinatorics (math.CO), Laplacian, Representation Theory (math.RT), Mathematics - Representation Theory
adjacency matrix, Graphs and linear algebra (matrices, eigenvalues, etc.), elementary divisors, Smith normal form, polar graph, invariant factors, critical group, FOS: Mathematics, Mathematics - Combinatorics, sandpile group, Combinatorics (math.CO), Laplacian, Representation Theory (math.RT), Mathematics - Representation Theory
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