vol16_pp451-462. 185KB Jun 04 2011 12:05:58 AM
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Young subgroups, Spherical functions, Finite symmetric spaces, Ramanujan graphs, Symmetric groups, Representations, Characters, Spectral graph theory, Gelfand pair.. AMS
In earlier work, the labelled graphs G for which every combinatorially symmetric totally nonnegative matrix, the graph of whose specified entries is G , has a totally
It is shown that, for any given polynomially normal matrix with respect to an indefinite inner product, a nonnegative (with respect to the indefinite inner product) invariant sub-
After some preliminaries in Section 2, we start from the results for DAEs with well-defined strangeness index to define classes of singular DAEs which have similar properties
Call a graph k -critical if it is minimal (w.r.t. vertex deletion) of rank larger than k.. Clearly, G k is characterized by the k -critical graphs as forbidden
A classic inequality for singular values of a matrixsum, including its equality case, is used to study how the energy of a graph changes when edges are removed.. One sharp bound and
The purpose of the present letter is to elucidate this relation between tight mappings, the maximal multiplicity of the second eigenvalue of graph Laplacians and Courant’s nodal
This formula is used to give a graph-theoretic description of the group inverse of an irreducible tridiagonal matrix of odd order with zero diagonal (which is singular)..
