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pro vyhledávání: '"Martinez, P. T."'
We investigate some topological and spectral properties of Erd\H{o}s-R\'{e}nyi (ER) random digraphs $D(n,p)$. In terms of topological properties, our primary focus lies in analyzing the number of non-isolated vertices $V_x(D)$ as well as two vertex-d
Externí odkaz:
http://arxiv.org/abs/2311.07854
We consider bipartite tight-binding graphs composed by $N$ nodes split into two sets of equal size: one set containing nodes with on-site loss, the other set having nodes with on-site gain. The nodes are connected randomly with probability $p$. We gi
Externí odkaz:
http://arxiv.org/abs/2212.13642
Publikováno v:
A&A 670, A55 (2023)
The 21 cm spectral line emission of atomic neutral hydrogen (HI) is one of the primary wavelengths observed in radio astronomy. However, the signal is intrinsically faint and the HI content of galaxies depends on the cosmic environment, requiring lar
Externí odkaz:
http://arxiv.org/abs/2211.12809
With the recent surge in big data analytics for hyper-dimensional data there is a renewed interest in dimensionality reduction techniques for machine learning applications. In order for these methods to improve performance gains and understanding of
Externí odkaz:
http://arxiv.org/abs/2209.04933
We consider random geometric graphs on the plane characterized by a non-uniform density of vertices. In particular, we introduce a graph model where $n$ vertices are independently distributed in the unit disc with positions, in polar coordinates $(l,
Externí odkaz:
http://arxiv.org/abs/2109.03369
Mutualistic networks are used to study the structure and processes inherent to mutualistic relationships. In this paper, we introduce a random matrix ensemble (RME) representing the adjacency matrices of mutualistic networks composed by two vertex se
Externí odkaz:
http://arxiv.org/abs/2103.01922
In this work we perform computational and analytical studies of the Randi\'c index $R(G)$ in Erd\"os-R\'{e}nyi models $G(n,p)$ characterized by $n$ vertices connected independently with probability $p \in (0,1)$. First, from a detailed scaling analys
Externí odkaz:
http://arxiv.org/abs/2002.00292
Autor:
Martinez-Martinez, C. T., Mendez-Bermudez, J. A., Moreno, Yamir, Pineda-Pineda, Jair J., Sigarreta, Jose M.
Bipartite graphs are often found to represent the connectivity between the components of many systems such as ecosystems. A bipartite graph is a set of $n$ nodes that is decomposed into two disjoint subsets, having $m$ and $n-m$ vertices each, such t
Externí odkaz:
http://arxiv.org/abs/1912.13385
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