vol15_pp210-214. 117KB Jun 04 2011 12:05:55 AM
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Universally optimal matrices are used to establish field independence of minimum rank for numerousgraphs.. Examplesare also provided verifying lack of field independence for
The problem of finding the minimum rank (maximum nullity) of edge subdivisions of a given graph G is investigated.. Is is shown that if an edge is adjacent to a vertex of degree 1 or
Nevertheless, these results are strong enough to be able to determine the inertia set of each graph on 6 or fewer vertices and can be applied to many graphs with larger order as
, m , and G is simply called path-positive if it is path- positive of any order.In [3], Bapat and Lal have characterized all graphs that are path-positive.The following corollary
known [4], and as k grows larger the number of distinct Hadamard matrices of order.. 4 k seems to
Among other things, minimal semitransitive alge- bras were characterized in that paper as those simultaneously similar to the algebra of upper triangular Toeplitz operators (that
In [6], the author characterized the extremal graph of bicyclic graphs with k pendant vertices with maximal signless Laplacian spectral radius2. For further details, we refer the
We show that, given the Poisson process points, almost surely, the chance of surviving to time t is like e − αlog ( 1 k ) t , as t tends to infinity if k, the jump rate of the
