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by studying the Perron vector of G , it is shown that type-I-a graphs and type-I-b (resp. type-II-a).. graphs with some specified properties are not λ 1

It is shown in this paper that if one only considers the family of graphs without isolated vertex, then a disjoint union of complete graphs is determined by its Laplacian

Let Q be a pattern that has weakly sign symmetric P -completion, where for any partial weakly sign symmetric P -matrix specifying Q , there is a weakly sign symmetric P -completion

It was shown by van der Kallen [7] that SL n( F [ x ]), n 3, does not have bounded word length with respect to elementary matrices if the field F has infinite transcendence degree

The situation is only slightly more complicated when one of the polynomials φj is a binomial, since the latter has exactly one non-zero root..

A square complex or real matrix A is called an H-matrix if there exists a square positive diagonal matrix X such that AX is strictly diagonally dominant (SDD)[5].. We denote by ρ (

The above strategy was adopted earlier by one of the authors for branching random walk in random environment [ 10 ]. There, the Markov chain alluded to above is simply the product

In this note we connect this result with properties of a certain set of extreme points of the unit Poisson process in the positive quadrant..