vol17_pp414-425. 212KB Jun 04 2011 12:06:00 AM
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D’apr`es [B¨ oM´e], elles sont reli´ees `a des conjecture arithm´etiques classiques (Conjecture de Vandiver, conjecture de Greenberg).. Dans cet article, nous introduisons un
In this paper, it is shown that each starlike tree with maximum degree 4 is determined by its signless Laplacian spectrum..
In this section we extend the results of Section 2 for idempotent matrices of the form (2.2) for some Schur complements with zero diagonal entries.. We start with the following
Henceforth, unless stated otherwise, each bidirected tree will be assumed to have an underlying tree with such a labeling... Combined with the next theorem they give
In this paper, we will establish the above conjecture (Theorem 2.3) and also characterize all sign patterns that require eventual nonnegativity (Theorem 2.6) in terms of
The tree cover number of a multigraph G, denoted T (G), is the minimum number of vertex disjoint simple trees occurring as induced subgraphs of G that cover all of the vertices of
These results are used to characterize all extremal weighted trees with the largest p -Laplacian spectral radius among all weighted trees with a given degree sequence and a
This yields, by redoing the “special construction” of Aldous [2], a stick-breaking construction of the tree TF , by now considering the trees R(k) as R -trees obtained as finite
