Balance, representation, Ceva, Exact enumeration problems, generating functions, Permutation representation, General logic, Poincaré polynomial, Signed and weighted graphs, Theoretical Computer Science, Matroid representation, Biased graph, Whitney 2-isomorphism, Logic of equations, Discrete Mathematics and Combinatorics, Gain graph, Whitney-number polynomial, Matroid characteristic polynomial, Matroid, Arrangement of hyperplanes, Graphs and linear algebra (matrices, eigenvalues, etc.), Geometric semilattice, Combinatorial aspects of matroids and geometric lattices, Thick biased graph, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Pythagorean representation, Permutation gain graph, Graphic lift matroid, Chromatic polynomial, Incidence structures embeddable into projective geometries, Hyperplane separation, Bias matroid, Computational Theory and Mathematics, Orthographic representation, characteristic polynomial, Menelaus