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Artículo
Quantum social networks
(IOP Science, 2012)
We introduce a physical approach to social networks (SNs) in which each actor is characterized by a yes–no test on a physical system. This allows us to consider SNs beyond those originated by interactions based on ...
Artículo
On the connectivity and restricted edge-connectivity of 3-arc graphs
(Elsevier, 2014-01-10)
A 3 − arc of a graph G is a 4-tuple (y, a, b, x) of vertices such that both (y, a, b) and (a, b, x) are paths of length two in G. Let ←→G denote the symmetric digraph of a graph G. The 3-arc graph X(G) of a given graph ...
Artículo
Factorizing operators on Banach function spaces through spaces of multiplication operators
(Elsevier, 2010)
In order to extend the theory of optimal domains for continuous operators on a Banach function space X(μ) over a finite measure μ, we consider operators T satisfying other type of inequalities than the one given by the ...
Artículo
A sufficient degree condition for a graph to contain all trees of size k
(Springer, 2011)
The Erdös–Sós conjecture says that a graph G on n vertices and number of edges e(G) > n(k − 1)/2 contains all trees of size k. In this paper we prove a sufficient condition for a graph to contain every tree of size k ...
Artículo
On the determining number and the metric dimension of graphs
(Combinatorics.org, 2010)
This paper initiates a study on the problem of computing the difference between the metric dimension and the determining number of graphs. We provide new proofs and results on the determining number of trees and Cartesian ...
Artículo
Distinguishing graphs by their left and right homomorphism profiles
(Elsevier, 2011)
We introduce a new property of graphs called ‘q-state Potts unique-ness’ and relate it to chromatic and Tutte uniqueness, and also to ‘chromatic–flow uniqueness’, recently studied by Duan, Wu and Yu. We establish for ...
Artículo
Interpolation of Vector Measures
(Springer, 2011)
Let (Ω, Σ) be a measurable space and m 0: Σ → X 0 and m 1: Σ → X 1 be positive vector measures with values in the Banach Köthe function spaces X 0 and X 1. If 0 < α < 1, we define a new vector measure [m 0, m 1] α with ...
Artículo
On average connectivity of the strong product of graphs
(Elsevier, 2013)
The average connectivity κ(G) of a graph G is the average, over all pairs of vertices, of the maximum number of internally disjoint paths connecting these vertices. The connectivity κ(G) can be seen as the minimum, over ...
Artículo
Experimental fully contextual correlations
(American Physical Society, 2012)
Quantum correlations are contextual yet, in general, nothing prevents the existence of even more contextual correlations. We identify and test a noncontextuality inequality in which the quantum violation cannot be improved ...
Artículo
Complex interpolation of L-p-spaces of vector measures on delta-rings
(Elsevier, 2013)
We apply the Calderón interpolation methods to Banach lattices of p-integrable and weakly p-integrable functions with respect to a Banach-space-valued measure defined on a δ-ring. In general, the results we obtain are ...