vol18_pp482-499. 257KB Jun 04 2011 12:06:04 AM
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In Section 5 we consider substitutions for which the incidence matrix is unimodular, and we show that the projected points form a central word if and only if the substitution
We study analogues of classical inequalities for the eigenvalues of sums of Hermitian matrices for the cone of admissible elements in the pseudo-Hermitian case.. In particular,
Assume that the contrary holds, i.e., suppose that there is a graph G of type-III such that G has the greatest maximum eigenvalue in G( n, ∆).. We consider the next
of matrix valued functions is very rich but mainly, perturbations of matrix functions of a complex argument and matrix functions of Hermitian matrices were considered, cf.
In the definition of the graph parameters µ ( G ) and ν ( G ), introduced by Colin de Verdi`ere in respectively [2, 3] and [4], and in the definition of the graph parameter ξ ( G
The graph G is said to be determined by its signless Laplacian spectrum, if any graph having the same signless Laplacian spectrum as G is isomorphic to G..
The eigenvalues of the L ( G ), especially the largest and the second smallest eigenvalues, are important in graph theory, because they have relations to numerous graph
Although results of Section 3 can be applied only to matrices such that their Hermitian part can be transformed into a strictly diagonally dominant matrix by means of
